Sequencer | StrangerCoug's turn

For completed/abandoned Mish Mash Games.
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Post Post #750 (ISO) » Mon Jun 22, 2020 6:05 am

Post by Not_Mafia »

289 Add 289 to Remove each digit that is a 2 and you are left with a perfect square.
Also, what is NM doing? Worst play I’ve ever seen.
I can't remember the last N_M post that wasn't bland, unimaginative and lame. Some shitposters are at least somewhat funny. You are the epitomy of the type of poster that nobody would miss if you were to suddenly disappear. You never add anything of value.
I'm guessing you haven't read the game and probably never will? Why even sign up to play?
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Post Post #751 (ISO) » Mon Jun 22, 2020 7:22 am

Post by Plotinus »

89 isn't a perfect square, but you can go again
The failure mode of clever is asshole.

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Post Post #752 (ISO) » Mon Jun 22, 2020 7:47 am

Post by Not_Mafia »

I am really stupid

80, 187, 346 as numbers that contain an L when written in roman numerals
Also, what is NM doing? Worst play I’ve ever seen.
I can't remember the last N_M post that wasn't bland, unimaginative and lame. Some shitposters are at least somewhat funny. You are the epitomy of the type of poster that nobody would miss if you were to suddenly disappear. You never add anything of value.
I'm guessing you haven't read the game and probably never will? Why even sign up to play?
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Post Post #753 (ISO) » Mon Jun 22, 2020 7:51 am

Post by Plotinus »

Spoiler: completed sequences
  • [54, 183, 272, 313, 115, 182, 278, 218 ] Numbers where you can ignore 1 digit and use mathematical operators on the remaining digits to get 4
  • [78, 126, 336, 348, 192, 315, 123] {
    n is composite and n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai is composite; ai ≥ 0, d > 0
    } composite numbers whose digit sum is composite
  • [55, 226, 253, 190, 19, 352, 334] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = 10; ai ≥ 0, d > 0
    } numbers whose digit sum equals 10
  • [3, 7, 229, 5, 179, 17, 137] primes
  • [25, 44, 63, 365, 52, 62, 88, 175] {
    i % (i % 10) == 0
    } Numbers divisible by their last digit
  • [166, 337, 333, 112, 311, 155, 144, 338] Numbers with at least one immediately repeating digit
  • [1, 4, 43, 141, 301, 302, 341] have four or fewer factors
  • [90, 322, 303, 329, 136, 210, 149, 228, 38, 188] numbers that are composite after removing the smallest digit
  • [234, 342, 356, 140, 173, 200, 280, 299] {
    n = 100×a + 10×b + c with c < a + b
    } 3 digit numbers where the last digit is less than the sum of the first two digits
  • [39, 86, 261, 32, 33, 76, 93] can be spelled digit by digit with ten or fewer letters in English, no leading zeroes, 0 is spelled as zero
  • [174, 118, 274, 232, 316, 180, 358 ] {
    2 | n ∧ n ≥ 100
    } 3 digit even numbers
  • [48, 135, 306, 40, 84, 132, 243] {
    k2 | n, k > 1
    } numbers that are divisible by a perfect square greater than one
  • [235, 242, 268, 259, 22, 34, 195, 97] numbers with a 2-digit prime factor
  • [125, 270, 320, 30, 45, 100, 150] {
    2i×3j×5k with i, j, k ≥ 0
    } 5-smooth numbers
  • [202, 351, 204, 260, 296, 300, 354] have a three digit factor other than itself
  • [120, 143, 194, 8, 15, 98, 170] {
    n ∈ [k2 - 2, k2 + 2], k ∈ ℤ
    numbers within 2 of a perfect square
  • [191, 359, 305, 271, 199, 163, 109] {
    n > 100 ∧ n % 2 = 1
    } 3 digit odd numbers
  • [128, 196, 319, 193, 172, 158, 288] numbers wherein if i spell the numbers out digit by digit in english, i can take the first letter of each digit and use those letters to form an english word (i.e. anagrams are allowed)
  • [116, 217, 219, 215, 114, 127, 222] Three digit numbers in which you can draw a date separator between two digits and get a valid date in both month/day and day/month format (not necessarily with the separator in the same place)—the separator must follow, not precede, a medial zero
  • [16, 113, 153, 281, 325, 353, 364] any side of all primitive Pythagorean triangles with its hypotenuse no larger than the largest number in the deck
  • [95, 138, 246, 58, 335, 314, 247] squarefree composite numbers
  • [37, 53, 75, 339, 9, 57, 197] all digits are odd
  • [220, 162, 18, 42, 107, 201, 213, 230]
    n = a010d + a110d-1 + ... + ad100 with 0 < Σi∈[0,d]ai < 10; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers where the sum of the digits is a single digit
  • [121, 209, 252, 29, 67, 92, 119 ] {
    (n(n+1)/2 + 1) or (n(n+1)/2 - 1)
    } numbers that are exactly one away from a triangular number
  • [134, 146, 238, 248, 145, 139, 236] {
    n = 100*a + 10*b + c with 0 < a < b < c < 10
    } 3 digit numbers whose digits are in strictly ascending order
  • [176, 298, 295, 251, 330, 258, and 211] {
    n = 100*a + 10*b + c, b is odd
    } 3 digit numbers where the middle digit is odd
  • [20, 56, 60, 85, 36, 41, 66, 79, 82] {
    9 < n < 100
    2 digit numbers
  • [361, 283, 343, 223, 241, 355, 331, 91] {
    n ≡ 1 (mod 6)
    } (multiples of 6) + 1
  • [105, 122, 239, 287, 50, 177, 263] digit sum is squarefree (1 counts as squarefree)
  • [244, 267, 212, 221, 288, 227, 206] numbers where the amount of digits that are "2" is an infinitely recurring percentage
  • [347, 130, 357, 233, 133, 307, 340, 362] numbers where the amount of digits that are "3" is an infinitely recurring percentage.
  • [65, 345 285, 240, 160, 70, 225] {
    5 | n
    } multiples of 5
  • [47, 74, 131, 245, 71, 117, 151] remove each digit that is a power of 2 (including 1) and you're left with a prime


Topology: Micc, Not_Mafia: 75 points
  • [171, 323, 77] palindromes
  • [249, 224, 292] Remove each digit that is a 2 and you are left with a perfect square.
  • [80, 187, 345] numbers that contain an L when written in roman numerals
Measure: StrangerCoug, vincentw: 77 points
  • [81, 189, 324, 27] {
    27 | n
    } multiples of 27
  • [46, 59, 164] {
    n ≡ ±1 (mod 15)
    } numbers equivalent to ±1 mod 15
  • [286, 207, 349] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = k2; ai ≥ 0, d > 0; k ∈ ℤ
    } Numbers whose digit sum is a perfect square
  • [73, 157, 231] {
    n = a010d + a110d-1 + ... + ad100 with aii is not composite, d > 0 ∈ ℤ
    } Numbers none of whose digits are composite
Dynamics: lilith2013, skitter30: 92 points
  • [328, 28, 276, 275] numbers that contain a 27 or 28
  • [124, 214, 282] {
    n = a010d + a110d-1 + ... + ad100 with ai = 2k; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers that consist only of digits that are powers of 2 (including 1)
It is
vincentw
's turn.

There are 51 cards remaining

it could happen to any of us, a few of the current sequences let you remove powers of two but this one only lets you remove two itself.
The failure mode of clever is asshole.

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Post Post #754 (ISO) » Mon Jun 22, 2020 7:37 pm

Post by vincentw »

Complete the L with 156, 178, 185, and 344.
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Post Post #755 (ISO) » Mon Jun 22, 2020 8:55 pm

Post by Not_Mafia »

Fuck
Also, what is NM doing? Worst play I’ve ever seen.
I can't remember the last N_M post that wasn't bland, unimaginative and lame. Some shitposters are at least somewhat funny. You are the epitomy of the type of poster that nobody would miss if you were to suddenly disappear. You never add anything of value.
I'm guessing you haven't read the game and probably never will? Why even sign up to play?
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Post Post #756 (ISO) » Tue Jun 23, 2020 5:04 am

Post by Plotinus »

Spoiler: completed sequences
  • [54, 183, 272, 313, 115, 182, 278, 218 ] Numbers where you can ignore 1 digit and use mathematical operators on the remaining digits to get 4
  • [78, 126, 336, 348, 192, 315, 123] {
    n is composite and n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai is composite; ai ≥ 0, d > 0
    } composite numbers whose digit sum is composite
  • [55, 226, 253, 190, 19, 352, 334] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = 10; ai ≥ 0, d > 0
    } numbers whose digit sum equals 10
  • [3, 7, 229, 5, 179, 17, 137] primes
  • [25, 44, 63, 365, 52, 62, 88, 175] {
    i % (i % 10) == 0
    } Numbers divisible by their last digit
  • [166, 337, 333, 112, 311, 155, 144, 338] Numbers with at least one immediately repeating digit
  • [1, 4, 43, 141, 301, 302, 341] have four or fewer factors
  • [90, 322, 303, 329, 136, 210, 149, 228, 38, 188] numbers that are composite after removing the smallest digit
  • [234, 342, 356, 140, 173, 200, 280, 299] {
    n = 100×a + 10×b + c with c < a + b
    } 3 digit numbers where the last digit is less than the sum of the first two digits
  • [39, 86, 261, 32, 33, 76, 93] can be spelled digit by digit with ten or fewer letters in English, no leading zeroes, 0 is spelled as zero
  • [174, 118, 274, 232, 316, 180, 358 ] {
    2 | n ∧ n ≥ 100
    } 3 digit even numbers
  • [48, 135, 306, 40, 84, 132, 243] {
    k2 | n, k > 1
    } numbers that are divisible by a perfect square greater than one
  • [235, 242, 268, 259, 22, 34, 195, 97] numbers with a 2-digit prime factor
  • [125, 270, 320, 30, 45, 100, 150] {
    2i×3j×5k with i, j, k ≥ 0
    } 5-smooth numbers
  • [202, 351, 204, 260, 296, 300, 354] have a three digit factor other than itself
  • [120, 143, 194, 8, 15, 98, 170] {
    n ∈ [k2 - 2, k2 + 2], k ∈ ℤ
    numbers within 2 of a perfect square
  • [191, 359, 305, 271, 199, 163, 109] {
    n > 100 ∧ n % 2 = 1
    } 3 digit odd numbers
  • [128, 196, 319, 193, 172, 158, 288] numbers wherein if i spell the numbers out digit by digit in english, i can take the first letter of each digit and use those letters to form an english word (i.e. anagrams are allowed)
  • [116, 217, 219, 215, 114, 127, 222] Three digit numbers in which you can draw a date separator between two digits and get a valid date in both month/day and day/month format (not necessarily with the separator in the same place)—the separator must follow, not precede, a medial zero
  • [16, 113, 153, 281, 325, 353, 364] any side of all primitive Pythagorean triangles with its hypotenuse no larger than the largest number in the deck
  • [95, 138, 246, 58, 335, 314, 247] squarefree composite numbers
  • [37, 53, 75, 339, 9, 57, 197] all digits are odd
  • [220, 162, 18, 42, 107, 201, 213, 230]
    n = a010d + a110d-1 + ... + ad100 with 0 < Σi∈[0,d]ai < 10; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers where the sum of the digits is a single digit
  • [121, 209, 252, 29, 67, 92, 119 ] {
    (n(n+1)/2 + 1) or (n(n+1)/2 - 1)
    } numbers that are exactly one away from a triangular number
  • [134, 146, 238, 248, 145, 139, 236] {
    n = 100*a + 10*b + c with 0 < a < b < c < 10
    } 3 digit numbers whose digits are in strictly ascending order
  • [176, 298, 295, 251, 330, 258, and 211] {
    n = 100*a + 10*b + c, b is odd
    } 3 digit numbers where the middle digit is odd
  • [20, 56, 60, 85, 36, 41, 66, 79, 82] {
    9 < n < 100
    2 digit numbers
  • [361, 283, 343, 223, 241, 355, 331, 91] {
    n ≡ 1 (mod 6)
    } (multiples of 6) + 1
  • [105, 122, 239, 287, 50, 177, 263] digit sum is squarefree (1 counts as squarefree)
  • [244, 267, 212, 221, 288, 227, 206] numbers where the amount of digits that are "2" is an infinitely recurring percentage
  • [347, 130, 357, 233, 133, 307, 340, 362] numbers where the amount of digits that are "3" is an infinitely recurring percentage.
  • [65, 345 285, 240, 160, 70, 225] {
    5 | n
    } multiples of 5
  • [47, 74, 131, 245, 71, 117, 151] remove each digit that is a power of 2 (including 1) and you're left with a prime
  • [80, 187, 345, 156, 178, 185 344] numbers that contain an L when written in roman numerals


Topology: Micc, Not_Mafia: 75 points
  • [171, 323, 77] palindromes
  • [249, 224, 292] Remove each digit that is a 2 and you are left with a perfect square.
Measure: StrangerCoug, vincentw: 84 points
  • [81, 189, 324, 27] {
    27 | n
    } multiples of 27
  • [46, 59, 164] {
    n ≡ ±1 (mod 15)
    } numbers equivalent to ±1 mod 15
  • [286, 207, 349] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = k2; ai ≥ 0, d > 0; k ∈ ℤ
    } Numbers whose digit sum is a perfect square
  • [73, 157, 231] {
    n = a010d + a110d-1 + ... + ad100 with aii is not composite, d > 0 ∈ ℤ
    } Numbers none of whose digits are composite
Dynamics: lilith2013, skitter30: 92 points
  • [328, 28, 276, 275] numbers that contain a 27 or 28
  • [124, 214, 282] {
    n = a010d + a110d-1 + ... + ad100 with ai = 2k; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers that consist only of digits that are powers of 2 (including 1)
It is
skitter30
's turn.

There are 47 cards remaining
The failure mode of clever is asshole.

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Post Post #757 (ISO) » Wed Jun 24, 2020 6:40 am

Post by skitter30 »

numbers that are multiples of 3
102, 366, 87
Show
Hiatus once more.

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Post Post #758 (ISO) » Wed Jun 24, 2020 6:48 am

Post by Plotinus »

Spoiler: completed sequences
  • [54, 183, 272, 313, 115, 182, 278, 218 ] Numbers where you can ignore 1 digit and use mathematical operators on the remaining digits to get 4
  • [78, 126, 336, 348, 192, 315, 123] {
    n is composite and n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai is composite; ai ≥ 0, d > 0
    } composite numbers whose digit sum is composite
  • [55, 226, 253, 190, 19, 352, 334] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = 10; ai ≥ 0, d > 0
    } numbers whose digit sum equals 10
  • [3, 7, 229, 5, 179, 17, 137] primes
  • [25, 44, 63, 365, 52, 62, 88, 175] {
    i % (i % 10) == 0
    } Numbers divisible by their last digit
  • [166, 337, 333, 112, 311, 155, 144, 338] Numbers with at least one immediately repeating digit
  • [1, 4, 43, 141, 301, 302, 341] have four or fewer factors
  • [90, 322, 303, 329, 136, 210, 149, 228, 38, 188] numbers that are composite after removing the smallest digit
  • [234, 342, 356, 140, 173, 200, 280, 299] {
    n = 100×a + 10×b + c with c < a + b
    } 3 digit numbers where the last digit is less than the sum of the first two digits
  • [39, 86, 261, 32, 33, 76, 93] can be spelled digit by digit with ten or fewer letters in English, no leading zeroes, 0 is spelled as zero
  • [174, 118, 274, 232, 316, 180, 358 ] {
    2 | n ∧ n ≥ 100
    } 3 digit even numbers
  • [48, 135, 306, 40, 84, 132, 243] {
    k2 | n, k > 1
    } numbers that are divisible by a perfect square greater than one
  • [235, 242, 268, 259, 22, 34, 195, 97] numbers with a 2-digit prime factor
  • [125, 270, 320, 30, 45, 100, 150] {
    2i×3j×5k with i, j, k ≥ 0
    } 5-smooth numbers
  • [202, 351, 204, 260, 296, 300, 354] have a three digit factor other than itself
  • [120, 143, 194, 8, 15, 98, 170] {
    n ∈ [k2 - 2, k2 + 2], k ∈ ℤ
    numbers within 2 of a perfect square
  • [191, 359, 305, 271, 199, 163, 109] {
    n > 100 ∧ n % 2 = 1
    } 3 digit odd numbers
  • [128, 196, 319, 193, 172, 158, 288] numbers wherein if i spell the numbers out digit by digit in english, i can take the first letter of each digit and use those letters to form an english word (i.e. anagrams are allowed)
  • [116, 217, 219, 215, 114, 127, 222] Three digit numbers in which you can draw a date separator between two digits and get a valid date in both month/day and day/month format (not necessarily with the separator in the same place)—the separator must follow, not precede, a medial zero
  • [16, 113, 153, 281, 325, 353, 364] any side of all primitive Pythagorean triangles with its hypotenuse no larger than the largest number in the deck
  • [95, 138, 246, 58, 335, 314, 247] squarefree composite numbers
  • [37, 53, 75, 339, 9, 57, 197] all digits are odd
  • [220, 162, 18, 42, 107, 201, 213, 230]
    n = a010d + a110d-1 + ... + ad100 with 0 < Σi∈[0,d]ai < 10; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers where the sum of the digits is a single digit
  • [121, 209, 252, 29, 67, 92, 119 ] {
    (n(n+1)/2 + 1) or (n(n+1)/2 - 1)
    } numbers that are exactly one away from a triangular number
  • [134, 146, 238, 248, 145, 139, 236] {
    n = 100*a + 10*b + c with 0 < a < b < c < 10
    } 3 digit numbers whose digits are in strictly ascending order
  • [176, 298, 295, 251, 330, 258, and 211] {
    n = 100*a + 10*b + c, b is odd
    } 3 digit numbers where the middle digit is odd
  • [20, 56, 60, 85, 36, 41, 66, 79, 82] {
    9 < n < 100
    2 digit numbers
  • [361, 283, 343, 223, 241, 355, 331, 91] {
    n ≡ 1 (mod 6)
    } (multiples of 6) + 1
  • [105, 122, 239, 287, 50, 177, 263] digit sum is squarefree (1 counts as squarefree)
  • [244, 267, 212, 221, 288, 227, 206] numbers where the amount of digits that are "2" is an infinitely recurring percentage
  • [347, 130, 357, 233, 133, 307, 340, 362] numbers where the amount of digits that are "3" is an infinitely recurring percentage.
  • [65, 345 285, 240, 160, 70, 225] {
    5 | n
    } multiples of 5
  • [47, 74, 131, 245, 71, 117, 151] remove each digit that is a power of 2 (including 1) and you're left with a prime
  • [80, 187, 345, 156, 178, 185 344] numbers that contain an L when written in roman numerals


Topology: Micc, Not_Mafia: 75 points
  • [171, 323, 77] palindromes
  • [249, 224, 292] Remove each digit that is a 2 and you are left with a perfect square.
Measure: StrangerCoug, vincentw: 84 points
  • [81, 189, 324, 27] {
    27 | n
    } multiples of 27
  • [46, 59, 164] {
    n ≡ ±1 (mod 15)
    } numbers equivalent to ±1 mod 15
  • [286, 207, 349] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = k2; ai ≥ 0, d > 0; k ∈ ℤ
    } Numbers whose digit sum is a perfect square
  • [73, 157, 231] {
    n = a010d + a110d-1 + ... + ad100 with aii is not composite, d > 0 ∈ ℤ
    } Numbers none of whose digits are composite
Dynamics: lilith2013, skitter30: 92 points
  • [328, 28, 276, 275] numbers that contain a 27 or 28
  • [124, 214, 282] {
    n = a010d + a110d-1 + ... + ad100 with ai = 2k; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers that consist only of digits that are powers of 2 (including 1)
  • [102, 366, 87] {
    3 | n
    } multiplies of 3
It is
Micc
's turn.

There are 44 cards remaining
The failure mode of clever is asshole.

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Post Post #759 (ISO) » Wed Jun 24, 2020 4:25 pm

Post by Micc »

108, 198, 264, and 159 to complete multiples of 3
"To hide a tree, use a forest" -Ninja Boy Hideo
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Post Post #760 (ISO) » Wed Jun 24, 2020 6:56 pm

Post by Plotinus »

Spoiler: completed sequences
  • [54, 183, 272, 313, 115, 182, 278, 218 ] Numbers where you can ignore 1 digit and use mathematical operators on the remaining digits to get 4
  • [78, 126, 336, 348, 192, 315, 123] {
    n is composite and n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai is composite; ai ≥ 0, d > 0
    } composite numbers whose digit sum is composite
  • [55, 226, 253, 190, 19, 352, 334] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = 10; ai ≥ 0, d > 0
    } numbers whose digit sum equals 10
  • [3, 7, 229, 5, 179, 17, 137] primes
  • [25, 44, 63, 365, 52, 62, 88, 175] {
    i % (i % 10) == 0
    } Numbers divisible by their last digit
  • [166, 337, 333, 112, 311, 155, 144, 338] Numbers with at least one immediately repeating digit
  • [1, 4, 43, 141, 301, 302, 341] have four or fewer factors
  • [90, 322, 303, 329, 136, 210, 149, 228, 38, 188] numbers that are composite after removing the smallest digit
  • [234, 342, 356, 140, 173, 200, 280, 299] {
    n = 100×a + 10×b + c with c < a + b
    } 3 digit numbers where the last digit is less than the sum of the first two digits
  • [39, 86, 261, 32, 33, 76, 93] can be spelled digit by digit with ten or fewer letters in English, no leading zeroes, 0 is spelled as zero
  • [174, 118, 274, 232, 316, 180, 358 ] {
    2 | n ∧ n ≥ 100
    } 3 digit even numbers
  • [48, 135, 306, 40, 84, 132, 243] {
    k2 | n, k > 1
    } numbers that are divisible by a perfect square greater than one
  • [235, 242, 268, 259, 22, 34, 195, 97] numbers with a 2-digit prime factor
  • [125, 270, 320, 30, 45, 100, 150] {
    2i×3j×5k with i, j, k ≥ 0
    } 5-smooth numbers
  • [202, 351, 204, 260, 296, 300, 354] have a three digit factor other than itself
  • [120, 143, 194, 8, 15, 98, 170] {
    n ∈ [k2 - 2, k2 + 2], k ∈ ℤ
    numbers within 2 of a perfect square
  • [191, 359, 305, 271, 199, 163, 109] {
    n > 100 ∧ n % 2 = 1
    } 3 digit odd numbers
  • [128, 196, 319, 193, 172, 158, 288] numbers wherein if i spell the numbers out digit by digit in english, i can take the first letter of each digit and use those letters to form an english word (i.e. anagrams are allowed)
  • [116, 217, 219, 215, 114, 127, 222] Three digit numbers in which you can draw a date separator between two digits and get a valid date in both month/day and day/month format (not necessarily with the separator in the same place)—the separator must follow, not precede, a medial zero
  • [16, 113, 153, 281, 325, 353, 364] any side of all primitive Pythagorean triangles with its hypotenuse no larger than the largest number in the deck
  • [95, 138, 246, 58, 335, 314, 247] squarefree composite numbers
  • [37, 53, 75, 339, 9, 57, 197] all digits are odd
  • [220, 162, 18, 42, 107, 201, 213, 230]
    n = a010d + a110d-1 + ... + ad100 with 0 < Σi∈[0,d]ai < 10; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers where the sum of the digits is a single digit
  • [121, 209, 252, 29, 67, 92, 119 ] {
    (n(n+1)/2 + 1) or (n(n+1)/2 - 1)
    } numbers that are exactly one away from a triangular number
  • [134, 146, 238, 248, 145, 139, 236] {
    n = 100*a + 10*b + c with 0 < a < b < c < 10
    } 3 digit numbers whose digits are in strictly ascending order
  • [176, 298, 295, 251, 330, 258, and 211] {
    n = 100*a + 10*b + c, b is odd
    } 3 digit numbers where the middle digit is odd
  • [20, 56, 60, 85, 36, 41, 66, 79, 82] {
    9 < n < 100
    2 digit numbers
  • [361, 283, 343, 223, 241, 355, 331, 91] {
    n ≡ 1 (mod 6)
    } (multiples of 6) + 1
  • [105, 122, 239, 287, 50, 177, 263] digit sum is squarefree (1 counts as squarefree)
  • [244, 267, 212, 221, 288, 227, 206] numbers where the amount of digits that are "2" is an infinitely recurring percentage
  • [347, 130, 357, 233, 133, 307, 340, 362] numbers where the amount of digits that are "3" is an infinitely recurring percentage.
  • [65, 345 285, 240, 160, 70, 225] {
    5 | n
    } multiples of 5
  • [47, 74, 131, 245, 71, 117, 151] remove each digit that is a power of 2 (including 1) and you're left with a prime
  • [80, 187, 345, 156, 178, 185 344] numbers that contain an L when written in roman numerals
  • [102, 366, 87, 108, 198, 264, 159] {
    3 | n
    } multiplies of 3


Topology: Micc, Not_Mafia: 82 points
  • [171, 323, 77] palindromes
  • [249, 224, 292] Remove each digit that is a 2 and you are left with a perfect square.
Measure: StrangerCoug, vincentw: 84 points
  • [81, 189, 324, 27] {
    27 | n
    } multiples of 27
  • [46, 59, 164] {
    n ≡ ±1 (mod 15)
    } numbers equivalent to ±1 mod 15
  • [286, 207, 349] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = k2; ai ≥ 0, d > 0; k ∈ ℤ
    } Numbers whose digit sum is a perfect square
  • [73, 157, 231] {
    n = a010d + a110d-1 + ... + ad100 with aii is not composite, d > 0 ∈ ℤ
    } Numbers none of whose digits are composite
Dynamics: lilith2013, skitter30: 92 points
  • [328, 28, 276, 275] numbers that contain a 27 or 28
  • [124, 214, 282] {
    n = a010d + a110d-1 + ... + ad100 with ai = 2k; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers that consist only of digits that are powers of 2 (including 1)
It is
StrangerCoug
's turn.

There are 40 cards remaining
The failure mode of clever is asshole.

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Post Post #761 (ISO) » Thu Jun 25, 2020 10:27 am

Post by StrangerCoug »

318, 266, 208: Even numbers whose digit sum is also even
STRANGERCOUG: Stranger Than You!

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Post Post #762 (ISO) » Thu Jun 25, 2020 10:40 am

Post by lilith2013 »

Play 35, 71, 117, 151, 111 to complete the "numbers none of whose digits are composite" sequence
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Post Post #763 (ISO) » Thu Jun 25, 2020 8:12 pm

Post by Plotinus »

Spoiler: completed sequences
  • [54, 183, 272, 313, 115, 182, 278, 218 ] Numbers where you can ignore 1 digit and use mathematical operators on the remaining digits to get 4
  • [78, 126, 336, 348, 192, 315, 123] {
    n is composite and n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai is composite; ai ≥ 0, d > 0
    } composite numbers whose digit sum is composite
  • [55, 226, 253, 190, 19, 352, 334] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = 10; ai ≥ 0, d > 0
    } numbers whose digit sum equals 10
  • [3, 7, 229, 5, 179, 17, 137] primes
  • [25, 44, 63, 365, 52, 62, 88, 175] {
    i % (i % 10) == 0
    } Numbers divisible by their last digit
  • [166, 337, 333, 112, 311, 155, 144, 338] Numbers with at least one immediately repeating digit
  • [1, 4, 43, 141, 301, 302, 341] have four or fewer factors
  • [90, 322, 303, 329, 136, 210, 149, 228, 38, 188] numbers that are composite after removing the smallest digit
  • [234, 342, 356, 140, 173, 200, 280, 299] {
    n = 100×a + 10×b + c with c < a + b
    } 3 digit numbers where the last digit is less than the sum of the first two digits
  • [39, 86, 261, 32, 33, 76, 93] can be spelled digit by digit with ten or fewer letters in English, no leading zeroes, 0 is spelled as zero
  • [174, 118, 274, 232, 316, 180, 358 ] {
    2 | n ∧ n ≥ 100
    } 3 digit even numbers
  • [48, 135, 306, 40, 84, 132, 243] {
    k2 | n, k > 1
    } numbers that are divisible by a perfect square greater than one
  • [235, 242, 268, 259, 22, 34, 195, 97] numbers with a 2-digit prime factor
  • [125, 270, 320, 30, 45, 100, 150] {
    2i×3j×5k with i, j, k ≥ 0
    } 5-smooth numbers
  • [202, 351, 204, 260, 296, 300, 354] have a three digit factor other than itself
  • [120, 143, 194, 8, 15, 98, 170] {
    n ∈ [k2 - 2, k2 + 2], k ∈ ℤ
    numbers within 2 of a perfect square
  • [191, 359, 305, 271, 199, 163, 109] {
    n > 100 ∧ n % 2 = 1
    } 3 digit odd numbers
  • [128, 196, 319, 193, 172, 158, 288] numbers wherein if i spell the numbers out digit by digit in english, i can take the first letter of each digit and use those letters to form an english word (i.e. anagrams are allowed)
  • [116, 217, 219, 215, 114, 127, 222] Three digit numbers in which you can draw a date separator between two digits and get a valid date in both month/day and day/month format (not necessarily with the separator in the same place)—the separator must follow, not precede, a medial zero
  • [16, 113, 153, 281, 325, 353, 364] any side of all primitive Pythagorean triangles with its hypotenuse no larger than the largest number in the deck
  • [95, 138, 246, 58, 335, 314, 247] squarefree composite numbers
  • [37, 53, 75, 339, 9, 57, 197] all digits are odd
  • [220, 162, 18, 42, 107, 201, 213, 230]
    n = a010d + a110d-1 + ... + ad100 with 0 < Σi∈[0,d]ai < 10; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers where the sum of the digits is a single digit
  • [121, 209, 252, 29, 67, 92, 119 ] {
    (n(n+1)/2 + 1) or (n(n+1)/2 - 1)
    } numbers that are exactly one away from a triangular number
  • [134, 146, 238, 248, 145, 139, 236] {
    n = 100*a + 10*b + c with 0 < a < b < c < 10
    } 3 digit numbers whose digits are in strictly ascending order
  • [176, 298, 295, 251, 330, 258, and 211] {
    n = 100*a + 10*b + c, b is odd
    } 3 digit numbers where the middle digit is odd
  • [20, 56, 60, 85, 36, 41, 66, 79, 82] {
    9 < n < 100
    2 digit numbers
  • [361, 283, 343, 223, 241, 355, 331, 91] {
    n ≡ 1 (mod 6)
    } (multiples of 6) + 1
  • [105, 122, 239, 287, 50, 177, 263] digit sum is squarefree (1 counts as squarefree)
  • [244, 267, 212, 221, 288, 227, 206] numbers where the amount of digits that are "2" is an infinitely recurring percentage
  • [347, 130, 357, 233, 133, 307, 340, 362] numbers where the amount of digits that are "3" is an infinitely recurring percentage.
  • [65, 345 285, 240, 160, 70, 225] {
    5 | n
    } multiples of 5
  • [47, 74, 131, 245, 71, 117, 151] remove each digit that is a power of 2 (including 1) and you're left with a prime
  • [80, 187, 345, 156, 178, 185 344] numbers that contain an L when written in roman numerals
  • [102, 366, 87, 108, 198, 264, 159] {
    3 | n
    } multiplies of 3


Topology: Micc, Not_Mafia: 82 points
  • [171, 323, 77] palindromes
  • [249, 224, 292] Remove each digit that is a 2 and you are left with a perfect square.
Measure: StrangerCoug, vincentw: 84 points
  • [81, 189, 324, 27] {
    27 | n
    } multiples of 27
  • [46, 59, 164] {
    n ≡ ±1 (mod 15)
    } numbers equivalent to ±1 mod 15
  • [286, 207, 349] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = k2; ai ≥ 0, d > 0; k ∈ ℤ
    } Numbers whose digit sum is a perfect square
  • [73, 157, 231] {
    n = a010d + a110d-1 + ... + ad100 with aii is not composite, d > 0 ∈ ℤ
    } Numbers none of whose digits are composite
  • [318, 266, 208] {
    n = a010d + a110d-1 + ... + ad100 with 2 | Σi∈[0,d]ai and 2 | n, d > 0 ∈ ℤ
    } Even numbers whose digit sum is also even
Dynamics: lilith2013, skitter30: 92 points
  • [328, 28, 276, 275] numbers that contain a 27 or 28
  • [124, 214, 282] {
    n = a010d + a110d-1 + ... + ad100 with ai = 2k; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers that consist only of digits that are powers of 2 (including 1)
It is
lilith2013
's turn.

There are 37 cards remaining

Lilith, I think you're looking at an older version of your hand. You only have 2 of those cards still -- the last hand I sent you was titlted "Re: Sequencer | lilith2013's Turn" not "Sequencer Hand" because I forgot to change the subject line. You can go again.
The failure mode of clever is asshole.

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Post Post #764 (ISO) » Fri Jun 26, 2020 1:02 am

Post by lilith2013 »

Play 35, 111, 72, 101 to finish the same sequence instead
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Post Post #765 (ISO) » Fri Jun 26, 2020 1:17 am

Post by Plotinus »

Spoiler: completed sequences
  • [54, 183, 272, 313, 115, 182, 278, 218 ] Numbers where you can ignore 1 digit and use mathematical operators on the remaining digits to get 4
  • [78, 126, 336, 348, 192, 315, 123] {
    n is composite and n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai is composite; ai ≥ 0, d > 0
    } composite numbers whose digit sum is composite
  • [55, 226, 253, 190, 19, 352, 334] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = 10; ai ≥ 0, d > 0
    } numbers whose digit sum equals 10
  • [3, 7, 229, 5, 179, 17, 137] primes
  • [25, 44, 63, 365, 52, 62, 88, 175] {
    i % (i % 10) == 0
    } Numbers divisible by their last digit
  • [166, 337, 333, 112, 311, 155, 144, 338] Numbers with at least one immediately repeating digit
  • [1, 4, 43, 141, 301, 302, 341] have four or fewer factors
  • [90, 322, 303, 329, 136, 210, 149, 228, 38, 188] numbers that are composite after removing the smallest digit
  • [234, 342, 356, 140, 173, 200, 280, 299] {
    n = 100×a + 10×b + c with c < a + b
    } 3 digit numbers where the last digit is less than the sum of the first two digits
  • [39, 86, 261, 32, 33, 76, 93] can be spelled digit by digit with ten or fewer letters in English, no leading zeroes, 0 is spelled as zero
  • [174, 118, 274, 232, 316, 180, 358 ] {
    2 | n ∧ n ≥ 100
    } 3 digit even numbers
  • [48, 135, 306, 40, 84, 132, 243] {
    k2 | n, k > 1
    } numbers that are divisible by a perfect square greater than one
  • [235, 242, 268, 259, 22, 34, 195, 97] numbers with a 2-digit prime factor
  • [125, 270, 320, 30, 45, 100, 150] {
    2i×3j×5k with i, j, k ≥ 0
    } 5-smooth numbers
  • [202, 351, 204, 260, 296, 300, 354] have a three digit factor other than itself
  • [120, 143, 194, 8, 15, 98, 170] {
    n ∈ [k2 - 2, k2 + 2], k ∈ ℤ
    numbers within 2 of a perfect square
  • [191, 359, 305, 271, 199, 163, 109] {
    n > 100 ∧ n % 2 = 1
    } 3 digit odd numbers
  • [128, 196, 319, 193, 172, 158, 288] numbers wherein if i spell the numbers out digit by digit in english, i can take the first letter of each digit and use those letters to form an english word (i.e. anagrams are allowed)
  • [116, 217, 219, 215, 114, 127, 222] Three digit numbers in which you can draw a date separator between two digits and get a valid date in both month/day and day/month format (not necessarily with the separator in the same place)—the separator must follow, not precede, a medial zero
  • [16, 113, 153, 281, 325, 353, 364] any side of all primitive Pythagorean triangles with its hypotenuse no larger than the largest number in the deck
  • [95, 138, 246, 58, 335, 314, 247] squarefree composite numbers
  • [37, 53, 75, 339, 9, 57, 197] all digits are odd
  • [220, 162, 18, 42, 107, 201, 213, 230]
    n = a010d + a110d-1 + ... + ad100 with 0 < Σi∈[0,d]ai < 10; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers where the sum of the digits is a single digit
  • [121, 209, 252, 29, 67, 92, 119 ] {
    (n(n+1)/2 + 1) or (n(n+1)/2 - 1)
    } numbers that are exactly one away from a triangular number
  • [134, 146, 238, 248, 145, 139, 236] {
    n = 100*a + 10*b + c with 0 < a < b < c < 10
    } 3 digit numbers whose digits are in strictly ascending order
  • [176, 298, 295, 251, 330, 258, and 211] {
    n = 100*a + 10*b + c, b is odd
    } 3 digit numbers where the middle digit is odd
  • [20, 56, 60, 85, 36, 41, 66, 79, 82] {
    9 < n < 100
    2 digit numbers
  • [361, 283, 343, 223, 241, 355, 331, 91] {
    n ≡ 1 (mod 6)
    } (multiples of 6) + 1
  • [105, 122, 239, 287, 50, 177, 263] digit sum is squarefree (1 counts as squarefree)
  • [244, 267, 212, 221, 288, 227, 206] numbers where the amount of digits that are "2" is an infinitely recurring percentage
  • [347, 130, 357, 233, 133, 307, 340, 362] numbers where the amount of digits that are "3" is an infinitely recurring percentage.
  • [65, 345 285, 240, 160, 70, 225] {
    5 | n
    } multiples of 5
  • [47, 74, 131, 245, 71, 117, 151] remove each digit that is a power of 2 (including 1) and you're left with a prime
  • [80, 187, 345, 156, 178, 185 344] numbers that contain an L when written in roman numerals
  • [102, 366, 87, 108, 198, 264, 159] {
    3 | n
    } multiplies of 3
  • [73, 157, 231, 35, 111, 72, 101] {
    n = a010d + a110d-1 + ... + ad100 with aii is not composite, d > 0 ∈ ℤ
    } Numbers none of whose digits are composite


Topology: Micc, Not_Mafia: 82 points
  • [171, 323, 77] palindromes
  • [249, 224, 292] Remove each digit that is a 2 and you are left with a perfect square.
Measure: StrangerCoug, vincentw: 84 points
  • [81, 189, 324, 27] {
    27 | n
    } multiples of 27
  • [46, 59, 164] {
    n ≡ ±1 (mod 15)
    } numbers equivalent to ±1 mod 15
  • [286, 207, 349] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = k2; ai ≥ 0, d > 0; k ∈ ℤ
    } Numbers whose digit sum is a perfect square
  • [318, 266, 208] {
    n = a010d + a110d-1 + ... + ad100 with 2 | Σi∈[0,d]ai and 2 | n, d > 0 ∈ ℤ
    } Even numbers whose digit sum is also even
Dynamics: lilith2013, skitter30: 99 points
  • [328, 28, 276, 275] numbers that contain a 27 or 28
  • [124, 214, 282] {
    n = a010d + a110d-1 + ... + ad100 with ai = 2k; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers that consist only of digits that are powers of 2 (including 1)
It is
Not_Mafia
's turn.

There are 33 cards remaining
The failure mode of clever is asshole.

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Post Post #766 (ISO) » Fri Jun 26, 2020 7:14 am

Post by Not_Mafia »

Add 154 to even numbers with an even digit sum
Also, what is NM doing? Worst play I’ve ever seen.
I can't remember the last N_M post that wasn't bland, unimaginative and lame. Some shitposters are at least somewhat funny. You are the epitomy of the type of poster that nobody would miss if you were to suddenly disappear. You never add anything of value.
I'm guessing you haven't read the game and probably never will? Why even sign up to play?
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Post Post #767 (ISO) » Fri Jun 26, 2020 7:15 pm

Post by Plotinus »

Spoiler: completed sequences
  • [54, 183, 272, 313, 115, 182, 278, 218 ] Numbers where you can ignore 1 digit and use mathematical operators on the remaining digits to get 4
  • [78, 126, 336, 348, 192, 315, 123] {
    n is composite and n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai is composite; ai ≥ 0, d > 0
    } composite numbers whose digit sum is composite
  • [55, 226, 253, 190, 19, 352, 334] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = 10; ai ≥ 0, d > 0
    } numbers whose digit sum equals 10
  • [3, 7, 229, 5, 179, 17, 137] primes
  • [25, 44, 63, 365, 52, 62, 88, 175] {
    i % (i % 10) == 0
    } Numbers divisible by their last digit
  • [166, 337, 333, 112, 311, 155, 144, 338] Numbers with at least one immediately repeating digit
  • [1, 4, 43, 141, 301, 302, 341] have four or fewer factors
  • [90, 322, 303, 329, 136, 210, 149, 228, 38, 188] numbers that are composite after removing the smallest digit
  • [234, 342, 356, 140, 173, 200, 280, 299] {
    n = 100×a + 10×b + c with c < a + b
    } 3 digit numbers where the last digit is less than the sum of the first two digits
  • [39, 86, 261, 32, 33, 76, 93] can be spelled digit by digit with ten or fewer letters in English, no leading zeroes, 0 is spelled as zero
  • [174, 118, 274, 232, 316, 180, 358 ] {
    2 | n ∧ n ≥ 100
    } 3 digit even numbers
  • [48, 135, 306, 40, 84, 132, 243] {
    k2 | n, k > 1
    } numbers that are divisible by a perfect square greater than one
  • [235, 242, 268, 259, 22, 34, 195, 97] numbers with a 2-digit prime factor
  • [125, 270, 320, 30, 45, 100, 150] {
    2i×3j×5k with i, j, k ≥ 0
    } 5-smooth numbers
  • [202, 351, 204, 260, 296, 300, 354] have a three digit factor other than itself
  • [120, 143, 194, 8, 15, 98, 170] {
    n ∈ [k2 - 2, k2 + 2], k ∈ ℤ
    numbers within 2 of a perfect square
  • [191, 359, 305, 271, 199, 163, 109] {
    n > 100 ∧ n % 2 = 1
    } 3 digit odd numbers
  • [128, 196, 319, 193, 172, 158, 288] numbers wherein if i spell the numbers out digit by digit in english, i can take the first letter of each digit and use those letters to form an english word (i.e. anagrams are allowed)
  • [116, 217, 219, 215, 114, 127, 222] Three digit numbers in which you can draw a date separator between two digits and get a valid date in both month/day and day/month format (not necessarily with the separator in the same place)—the separator must follow, not precede, a medial zero
  • [16, 113, 153, 281, 325, 353, 364] any side of all primitive Pythagorean triangles with its hypotenuse no larger than the largest number in the deck
  • [95, 138, 246, 58, 335, 314, 247] squarefree composite numbers
  • [37, 53, 75, 339, 9, 57, 197] all digits are odd
  • [220, 162, 18, 42, 107, 201, 213, 230]
    n = a010d + a110d-1 + ... + ad100 with 0 < Σi∈[0,d]ai < 10; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers where the sum of the digits is a single digit
  • [121, 209, 252, 29, 67, 92, 119 ] {
    (n(n+1)/2 + 1) or (n(n+1)/2 - 1)
    } numbers that are exactly one away from a triangular number
  • [134, 146, 238, 248, 145, 139, 236] {
    n = 100*a + 10*b + c with 0 < a < b < c < 10
    } 3 digit numbers whose digits are in strictly ascending order
  • [176, 298, 295, 251, 330, 258, and 211] {
    n = 100*a + 10*b + c, b is odd
    } 3 digit numbers where the middle digit is odd
  • [20, 56, 60, 85, 36, 41, 66, 79, 82] {
    9 < n < 100
    2 digit numbers
  • [361, 283, 343, 223, 241, 355, 331, 91] {
    n ≡ 1 (mod 6)
    } (multiples of 6) + 1
  • [105, 122, 239, 287, 50, 177, 263] digit sum is squarefree (1 counts as squarefree)
  • [244, 267, 212, 221, 288, 227, 206] numbers where the amount of digits that are "2" is an infinitely recurring percentage
  • [347, 130, 357, 233, 133, 307, 340, 362] numbers where the amount of digits that are "3" is an infinitely recurring percentage.
  • [65, 345 285, 240, 160, 70, 225] {
    5 | n
    } multiples of 5
  • [47, 74, 131, 245, 71, 117, 151] remove each digit that is a power of 2 (including 1) and you're left with a prime
  • [80, 187, 345, 156, 178, 185 344] numbers that contain an L when written in roman numerals
  • [102, 366, 87, 108, 198, 264, 159] {
    3 | n
    } multiplies of 3
  • [73, 157, 231, 35, 111, 72, 101] {
    n = a010d + a110d-1 + ... + ad100 with aii is not composite, d > 0 ∈ ℤ
    } Numbers none of whose digits are composite


Topology: Micc, Not_Mafia: 82 points
  • [171, 323, 77] palindromes
  • [249, 224, 292] Remove each digit that is a 2 and you are left with a perfect square.
Measure: StrangerCoug, vincentw: 84 points
  • [81, 189, 324, 27] {
    27 | n
    } multiples of 27
  • [46, 59, 164] {
    n ≡ ±1 (mod 15)
    } numbers equivalent to ±1 mod 15
  • [286, 207, 349] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = k2; ai ≥ 0, d > 0; k ∈ ℤ
    } Numbers whose digit sum is a perfect square
  • [318, 266, 208, 154] {
    n = a010d + a110d-1 + ... + ad100 with 2 | Σi∈[0,d]ai and 2 | n, d > 0 ∈ ℤ
    } Even numbers whose digit sum is also even
Dynamics: lilith2013, skitter30: 99 points
  • [328, 28, 276, 275] numbers that contain a 27 or 28
  • [124, 214, 282] {
    n = a010d + a110d-1 + ... + ad100 with ai = 2k; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers that consist only of digits that are powers of 2 (including 1)
It is
vincentw
's turn.

There are 32 cards remaining
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Post Post #768 (ISO) » Sat Jun 27, 2020 7:14 am

Post by Plotinus »

Prodding vincentw
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Post Post #769 (ISO) » Sat Jun 27, 2020 9:26 pm

Post by vincentw »

Play 23, 293, and 161 as numbers equivalent to 5 mod 6.
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Post Post #770 (ISO) » Sat Jun 27, 2020 10:28 pm

Post by Plotinus »

Spoiler: completed sequences
  • [54, 183, 272, 313, 115, 182, 278, 218 ] Numbers where you can ignore 1 digit and use mathematical operators on the remaining digits to get 4
  • [78, 126, 336, 348, 192, 315, 123] {
    n is composite and n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai is composite; ai ≥ 0, d > 0
    } composite numbers whose digit sum is composite
  • [55, 226, 253, 190, 19, 352, 334] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = 10; ai ≥ 0, d > 0
    } numbers whose digit sum equals 10
  • [3, 7, 229, 5, 179, 17, 137] primes
  • [25, 44, 63, 365, 52, 62, 88, 175] {
    i % (i % 10) == 0
    } Numbers divisible by their last digit
  • [166, 337, 333, 112, 311, 155, 144, 338] Numbers with at least one immediately repeating digit
  • [1, 4, 43, 141, 301, 302, 341] have four or fewer factors
  • [90, 322, 303, 329, 136, 210, 149, 228, 38, 188] numbers that are composite after removing the smallest digit
  • [234, 342, 356, 140, 173, 200, 280, 299] {
    n = 100×a + 10×b + c with c < a + b
    } 3 digit numbers where the last digit is less than the sum of the first two digits
  • [39, 86, 261, 32, 33, 76, 93] can be spelled digit by digit with ten or fewer letters in English, no leading zeroes, 0 is spelled as zero
  • [174, 118, 274, 232, 316, 180, 358 ] {
    2 | n ∧ n ≥ 100
    } 3 digit even numbers
  • [48, 135, 306, 40, 84, 132, 243] {
    k2 | n, k > 1
    } numbers that are divisible by a perfect square greater than one
  • [235, 242, 268, 259, 22, 34, 195, 97] numbers with a 2-digit prime factor
  • [125, 270, 320, 30, 45, 100, 150] {
    2i×3j×5k with i, j, k ≥ 0
    } 5-smooth numbers
  • [202, 351, 204, 260, 296, 300, 354] have a three digit factor other than itself
  • [120, 143, 194, 8, 15, 98, 170] {
    n ∈ [k2 - 2, k2 + 2], k ∈ ℤ
    numbers within 2 of a perfect square
  • [191, 359, 305, 271, 199, 163, 109] {
    n > 100 ∧ n % 2 = 1
    } 3 digit odd numbers
  • [128, 196, 319, 193, 172, 158, 288] numbers wherein if i spell the numbers out digit by digit in english, i can take the first letter of each digit and use those letters to form an english word (i.e. anagrams are allowed)
  • [116, 217, 219, 215, 114, 127, 222] Three digit numbers in which you can draw a date separator between two digits and get a valid date in both month/day and day/month format (not necessarily with the separator in the same place)—the separator must follow, not precede, a medial zero
  • [16, 113, 153, 281, 325, 353, 364] any side of all primitive Pythagorean triangles with its hypotenuse no larger than the largest number in the deck
  • [95, 138, 246, 58, 335, 314, 247] squarefree composite numbers
  • [37, 53, 75, 339, 9, 57, 197] all digits are odd
  • [220, 162, 18, 42, 107, 201, 213, 230]
    n = a010d + a110d-1 + ... + ad100 with 0 < Σi∈[0,d]ai < 10; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers where the sum of the digits is a single digit
  • [121, 209, 252, 29, 67, 92, 119 ] {
    (n(n+1)/2 + 1) or (n(n+1)/2 - 1)
    } numbers that are exactly one away from a triangular number
  • [134, 146, 238, 248, 145, 139, 236] {
    n = 100*a + 10*b + c with 0 < a < b < c < 10
    } 3 digit numbers whose digits are in strictly ascending order
  • [176, 298, 295, 251, 330, 258, and 211] {
    n = 100*a + 10*b + c, b is odd
    } 3 digit numbers where the middle digit is odd
  • [20, 56, 60, 85, 36, 41, 66, 79, 82] {
    9 < n < 100
    2 digit numbers
  • [361, 283, 343, 223, 241, 355, 331, 91] {
    n ≡ 1 (mod 6)
    } (multiples of 6) + 1
  • [105, 122, 239, 287, 50, 177, 263] digit sum is squarefree (1 counts as squarefree)
  • [244, 267, 212, 221, 288, 227, 206] numbers where the amount of digits that are "2" is an infinitely recurring percentage
  • [347, 130, 357, 233, 133, 307, 340, 362] numbers where the amount of digits that are "3" is an infinitely recurring percentage.
  • [65, 345 285, 240, 160, 70, 225] {
    5 | n
    } multiples of 5
  • [47, 74, 131, 245, 71, 117, 151] remove each digit that is a power of 2 (including 1) and you're left with a prime
  • [80, 187, 345, 156, 178, 185 344] numbers that contain an L when written in roman numerals
  • [102, 366, 87, 108, 198, 264, 159] {
    3 | n
    } multiplies of 3
  • [73, 157, 231, 35, 111, 72, 101] {
    n = a010d + a110d-1 + ... + ad100 with aii is not composite, d > 0 ∈ ℤ
    } Numbers none of whose digits are composite


Topology: Micc, Not_Mafia: 82 points
  • [171, 323, 77] palindromes
  • [249, 224, 292] Remove each digit that is a 2 and you are left with a perfect square.
Measure: StrangerCoug, vincentw: 84 points
  • [81, 189, 324, 27] {
    27 | n
    } multiples of 27
  • [46, 59, 164] {
    n ≡ ±1 (mod 15)
    } numbers equivalent to ±1 mod 15
  • [286, 207, 349] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = k2; ai ≥ 0, d > 0; k ∈ ℤ
    } Numbers whose digit sum is a perfect square
  • [318, 266, 208, 154] {
    n = a010d + a110d-1 + ... + ad100 with 2 | Σi∈[0,d]ai and 2 | n, d > 0 ∈ ℤ
    } Even numbers whose digit sum is also even
  • [23, 293, 161] {
    n ≡ 5 (mod 6)
    } numbers equivalent to 5 mod 6
Dynamics: lilith2013, skitter30: 99 points
  • [328, 28, 276, 275] numbers that contain a 27 or 28
  • [124, 214, 282] {
    n = a010d + a110d-1 + ... + ad100 with ai = 2k; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers that consist only of digits that are powers of 2 (including 1)
It is
skitter30
's turn.

There are 29 cards remaining
The failure mode of clever is asshole.

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Post Post #771 (ISO) » Mon Jun 29, 2020 5:28 pm

Post by skitter30 »

In post 770, Plotinus wrote:[81, 189, 324, 27] { 27 | n } multiples of 27
297
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Hiatus once more.

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Post Post #772 (ISO) » Mon Jun 29, 2020 6:10 pm

Post by Plotinus »

Spoiler: completed sequences
  • [54, 183, 272, 313, 115, 182, 278, 218 ] Numbers where you can ignore 1 digit and use mathematical operators on the remaining digits to get 4
  • [78, 126, 336, 348, 192, 315, 123] {
    n is composite and n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai is composite; ai ≥ 0, d > 0
    } composite numbers whose digit sum is composite
  • [55, 226, 253, 190, 19, 352, 334] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = 10; ai ≥ 0, d > 0
    } numbers whose digit sum equals 10
  • [3, 7, 229, 5, 179, 17, 137] primes
  • [25, 44, 63, 365, 52, 62, 88, 175] {
    i % (i % 10) == 0
    } Numbers divisible by their last digit
  • [166, 337, 333, 112, 311, 155, 144, 338] Numbers with at least one immediately repeating digit
  • [1, 4, 43, 141, 301, 302, 341] have four or fewer factors
  • [90, 322, 303, 329, 136, 210, 149, 228, 38, 188] numbers that are composite after removing the smallest digit
  • [234, 342, 356, 140, 173, 200, 280, 299] {
    n = 100×a + 10×b + c with c < a + b
    } 3 digit numbers where the last digit is less than the sum of the first two digits
  • [39, 86, 261, 32, 33, 76, 93] can be spelled digit by digit with ten or fewer letters in English, no leading zeroes, 0 is spelled as zero
  • [174, 118, 274, 232, 316, 180, 358 ] {
    2 | n ∧ n ≥ 100
    } 3 digit even numbers
  • [48, 135, 306, 40, 84, 132, 243] {
    k2 | n, k > 1
    } numbers that are divisible by a perfect square greater than one
  • [235, 242, 268, 259, 22, 34, 195, 97] numbers with a 2-digit prime factor
  • [125, 270, 320, 30, 45, 100, 150] {
    2i×3j×5k with i, j, k ≥ 0
    } 5-smooth numbers
  • [202, 351, 204, 260, 296, 300, 354] have a three digit factor other than itself
  • [120, 143, 194, 8, 15, 98, 170] {
    n ∈ [k2 - 2, k2 + 2], k ∈ ℤ
    numbers within 2 of a perfect square
  • [191, 359, 305, 271, 199, 163, 109] {
    n > 100 ∧ n % 2 = 1
    } 3 digit odd numbers
  • [128, 196, 319, 193, 172, 158, 288] numbers wherein if i spell the numbers out digit by digit in english, i can take the first letter of each digit and use those letters to form an english word (i.e. anagrams are allowed)
  • [116, 217, 219, 215, 114, 127, 222] Three digit numbers in which you can draw a date separator between two digits and get a valid date in both month/day and day/month format (not necessarily with the separator in the same place)—the separator must follow, not precede, a medial zero
  • [16, 113, 153, 281, 325, 353, 364] any side of all primitive Pythagorean triangles with its hypotenuse no larger than the largest number in the deck
  • [95, 138, 246, 58, 335, 314, 247] squarefree composite numbers
  • [37, 53, 75, 339, 9, 57, 197] all digits are odd
  • [220, 162, 18, 42, 107, 201, 213, 230]
    n = a010d + a110d-1 + ... + ad100 with 0 < Σi∈[0,d]ai < 10; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers where the sum of the digits is a single digit
  • [121, 209, 252, 29, 67, 92, 119 ] {
    (n(n+1)/2 + 1) or (n(n+1)/2 - 1)
    } numbers that are exactly one away from a triangular number
  • [134, 146, 238, 248, 145, 139, 236] {
    n = 100*a + 10*b + c with 0 < a < b < c < 10
    } 3 digit numbers whose digits are in strictly ascending order
  • [176, 298, 295, 251, 330, 258, and 211] {
    n = 100*a + 10*b + c, b is odd
    } 3 digit numbers where the middle digit is odd
  • [20, 56, 60, 85, 36, 41, 66, 79, 82] {
    9 < n < 100
    2 digit numbers
  • [361, 283, 343, 223, 241, 355, 331, 91] {
    n ≡ 1 (mod 6)
    } (multiples of 6) + 1
  • [105, 122, 239, 287, 50, 177, 263] digit sum is squarefree (1 counts as squarefree)
  • [244, 267, 212, 221, 288, 227, 206] numbers where the amount of digits that are "2" is an infinitely recurring percentage
  • [347, 130, 357, 233, 133, 307, 340, 362] numbers where the amount of digits that are "3" is an infinitely recurring percentage.
  • [65, 345 285, 240, 160, 70, 225] {
    5 | n
    } multiples of 5
  • [47, 74, 131, 245, 71, 117, 151] remove each digit that is a power of 2 (including 1) and you're left with a prime
  • [80, 187, 345, 156, 178, 185 344] numbers that contain an L when written in roman numerals
  • [102, 366, 87, 108, 198, 264, 159] {
    3 | n
    } multiplies of 3
  • [73, 157, 231, 35, 111, 72, 101] {
    n = a010d + a110d-1 + ... + ad100 with aii is not composite, d > 0 ∈ ℤ
    } Numbers none of whose digits are composite


Topology: Micc, Not_Mafia: 82 points
  • [171, 323, 77] palindromes
  • [249, 224, 292] Remove each digit that is a 2 and you are left with a perfect square.
Measure: StrangerCoug, vincentw: 84 points
  • [81, 189, 324, 27, 297] {
    27 | n
    } multiples of 27
  • [46, 59, 164] {
    n ≡ ±1 (mod 15)
    } numbers equivalent to ±1 mod 15
  • [286, 207, 349] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = k2; ai ≥ 0, d > 0; k ∈ ℤ
    } Numbers whose digit sum is a perfect square
  • [318, 266, 208, 154] {
    n = a010d + a110d-1 + ... + ad100 with 2 | Σi∈[0,d]ai and 2 | n, d > 0 ∈ ℤ
    } Even numbers whose digit sum is also even
  • [23, 293, 161] {
    n ≡ 5 (mod 6)
    } numbers equivalent to 5 mod 6
Dynamics: lilith2013, skitter30: 99 points
  • [328, 28, 276, 275] numbers that contain a 27 or 28
  • [124, 214, 282] {
    n = a010d + a110d-1 + ... + ad100 with ai = 2k; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers that consist only of digits that are powers of 2 (including 1)
It is
Micc
's turn.

There are 28 cards remaining
The failure mode of clever is asshole.

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Post Post #773 (ISO) » Mon Jun 29, 2020 6:46 pm

Post by Micc »

64, 6, 350 to complete even numbers whose digit sum is also even
"To hide a tree, use a forest" -Ninja Boy Hideo
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Post Post #774 (ISO) » Mon Jun 29, 2020 6:57 pm

Post by Plotinus »

Spoiler: completed sequences
  • [54, 183, 272, 313, 115, 182, 278, 218 ] Numbers where you can ignore 1 digit and use mathematical operators on the remaining digits to get 4
  • [78, 126, 336, 348, 192, 315, 123] {
    n is composite and n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai is composite; ai ≥ 0, d > 0
    } composite numbers whose digit sum is composite
  • [55, 226, 253, 190, 19, 352, 334] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = 10; ai ≥ 0, d > 0
    } numbers whose digit sum equals 10
  • [3, 7, 229, 5, 179, 17, 137] primes
  • [25, 44, 63, 365, 52, 62, 88, 175] {
    i % (i % 10) == 0
    } Numbers divisible by their last digit
  • [166, 337, 333, 112, 311, 155, 144, 338] Numbers with at least one immediately repeating digit
  • [1, 4, 43, 141, 301, 302, 341] have four or fewer factors
  • [90, 322, 303, 329, 136, 210, 149, 228, 38, 188] numbers that are composite after removing the smallest digit
  • [234, 342, 356, 140, 173, 200, 280, 299] {
    n = 100×a + 10×b + c with c < a + b
    } 3 digit numbers where the last digit is less than the sum of the first two digits
  • [39, 86, 261, 32, 33, 76, 93] can be spelled digit by digit with ten or fewer letters in English, no leading zeroes, 0 is spelled as zero
  • [174, 118, 274, 232, 316, 180, 358 ] {
    2 | n ∧ n ≥ 100
    } 3 digit even numbers
  • [48, 135, 306, 40, 84, 132, 243] {
    k2 | n, k > 1
    } numbers that are divisible by a perfect square greater than one
  • [235, 242, 268, 259, 22, 34, 195, 97] numbers with a 2-digit prime factor
  • [125, 270, 320, 30, 45, 100, 150] {
    2i×3j×5k with i, j, k ≥ 0
    } 5-smooth numbers
  • [202, 351, 204, 260, 296, 300, 354] have a three digit factor other than itself
  • [120, 143, 194, 8, 15, 98, 170] {
    n ∈ [k2 - 2, k2 + 2], k ∈ ℤ
    numbers within 2 of a perfect square
  • [191, 359, 305, 271, 199, 163, 109] {
    n > 100 ∧ n % 2 = 1
    } 3 digit odd numbers
  • [128, 196, 319, 193, 172, 158, 288] numbers wherein if i spell the numbers out digit by digit in english, i can take the first letter of each digit and use those letters to form an english word (i.e. anagrams are allowed)
  • [116, 217, 219, 215, 114, 127, 222] Three digit numbers in which you can draw a date separator between two digits and get a valid date in both month/day and day/month format (not necessarily with the separator in the same place)—the separator must follow, not precede, a medial zero
  • [16, 113, 153, 281, 325, 353, 364] any side of all primitive Pythagorean triangles with its hypotenuse no larger than the largest number in the deck
  • [95, 138, 246, 58, 335, 314, 247] squarefree composite numbers
  • [37, 53, 75, 339, 9, 57, 197] all digits are odd
  • [220, 162, 18, 42, 107, 201, 213, 230]
    n = a010d + a110d-1 + ... + ad100 with 0 < Σi∈[0,d]ai < 10; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers where the sum of the digits is a single digit
  • [121, 209, 252, 29, 67, 92, 119 ] {
    (n(n+1)/2 + 1) or (n(n+1)/2 - 1)
    } numbers that are exactly one away from a triangular number
  • [134, 146, 238, 248, 145, 139, 236] {
    n = 100*a + 10*b + c with 0 < a < b < c < 10
    } 3 digit numbers whose digits are in strictly ascending order
  • [176, 298, 295, 251, 330, 258, and 211] {
    n = 100*a + 10*b + c, b is odd
    } 3 digit numbers where the middle digit is odd
  • [20, 56, 60, 85, 36, 41, 66, 79, 82] {
    9 < n < 100
    2 digit numbers
  • [361, 283, 343, 223, 241, 355, 331, 91] {
    n ≡ 1 (mod 6)
    } (multiples of 6) + 1
  • [105, 122, 239, 287, 50, 177, 263] digit sum is squarefree (1 counts as squarefree)
  • [244, 267, 212, 221, 288, 227, 206] numbers where the amount of digits that are "2" is an infinitely recurring percentage
  • [347, 130, 357, 233, 133, 307, 340, 362] numbers where the amount of digits that are "3" is an infinitely recurring percentage.
  • [65, 345 285, 240, 160, 70, 225] {
    5 | n
    } multiples of 5
  • [47, 74, 131, 245, 71, 117, 151] remove each digit that is a power of 2 (including 1) and you're left with a prime
  • [80, 187, 345, 156, 178, 185 344] numbers that contain an L when written in roman numerals
  • [102, 366, 87, 108, 198, 264, 159] {
    3 | n
    } multiplies of 3
  • [73, 157, 231, 35, 111, 72, 101] {
    n = a010d + a110d-1 + ... + ad100 with aii is not composite, d > 0 ∈ ℤ
    } Numbers none of whose digits are composite
  • [318, 266, 208, 154, 64, 6, 350] {
    n = a010d + a110d-1 + ... + ad100 with 2 | Σi∈[0,d]ai and 2 | n, d > 0 ∈ ℤ
    } Even numbers whose digit sum is also even


Topology: Micc, Not_Mafia: 89 points
  • [171, 323, 77] palindromes
  • [249, 224, 292] Remove each digit that is a 2 and you are left with a perfect square.
Measure: StrangerCoug, vincentw: 84 points
  • [46, 59, 164] {
    n ≡ ±1 (mod 15)
    } numbers equivalent to ±1 mod 15
  • [286, 207, 349] {
    n = a010d + a110d-1 + ... + ad100 with Σi∈[0,d]ai = k2; ai ≥ 0, d > 0; k ∈ ℤ
    } Numbers whose digit sum is a perfect square
  • [23, 293, 161] {
    n ≡ 5 (mod 6)
    } numbers equivalent to 5 mod 6
Dynamics: lilith2013, skitter30: 99 points
  • [328, 28, 276, 275] numbers that contain a 27 or 28
  • [124, 214, 282] {
    n = a010d + a110d-1 + ... + ad100 with ai = 2k; ai ≥ 0, d > 0; k ∈ ℤ
    } numbers that consist only of digits that are powers of 2 (including 1)
  • [81, 189, 324, 27, 297] {
    27 | n
    } multiples of 27
It is
StrangerCoug
's turn.

There are 25 cards remaining
The failure mode of clever is asshole.

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