289 Add 289 to Remove each digit that is a 2 and you are left with a perfect square.
Posted: Mon Jun 22, 2020 7:22 am
by Plotinus
89 isn't a perfect square, but you can go again
Posted: Mon Jun 22, 2020 7:47 am
by Not_Mafia
I am really stupid
80, 187, 346 as numbers that contain an L when written in roman numerals
Posted: Mon Jun 22, 2020 7:51 am
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
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.
Posted: Mon Jun 22, 2020 7:37 pm
by vincentw
Complete the L with 156, 178, 185, and 344.
Posted: Mon Jun 22, 2020 8:55 pm
by Not_Mafia
Fuck
Posted: Tue Jun 23, 2020 5:04 am
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
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
Posted: Wed Jun 24, 2020 6:40 am
by skitter30
numbers that are multiples of 3
102, 366, 87
Posted: Wed Jun 24, 2020 6:48 am
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
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
Posted: Wed Jun 24, 2020 4:25 pm
by Micc
108, 198, 264, and 159 to complete multiples of 3
Posted: Wed Jun 24, 2020 6:56 pm
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
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
Posted: Thu Jun 25, 2020 10:27 am
by StrangerCoug
318, 266, 208: Even numbers whose digit sum is also even
Posted: Thu Jun 25, 2020 10:40 am
by lilith2013
Play 35, 71, 117, 151, 111 to complete the "numbers none of whose digits are composite" sequence
Posted: Thu Jun 25, 2020 8:12 pm
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
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.
Posted: Fri Jun 26, 2020 1:02 am
by lilith2013
Play 35, 111, 72, 101 to finish the same sequence instead
Posted: Fri Jun 26, 2020 1:17 am
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
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
Posted: Fri Jun 26, 2020 7:14 am
by Not_Mafia
Add 154 to even numbers with an even digit sum
Posted: Fri Jun 26, 2020 7:15 pm
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
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
Posted: Sat Jun 27, 2020 7:14 am
by Plotinus
Prodding vincentw
Posted: Sat Jun 27, 2020 9:26 pm
by vincentw
Play 23, 293, and 161 as numbers equivalent to 5 mod 6.
Posted: Sat Jun 27, 2020 10:28 pm
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
[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
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
Posted: Mon Jun 29, 2020 6:46 pm
by Micc
64, 6, 350 to complete even numbers whose digit sum is also even
Posted: Mon Jun 29, 2020 6:57 pm
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