cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A145488 Numbers k such that 6k+13 is prime and 12k+13 is also prime.

Original entry on oeis.org

0, 4, 5, 8, 14, 15, 19, 25, 28, 30, 33, 35, 44, 49, 50, 54, 60, 68, 70, 85, 88, 93, 99, 100, 103, 120, 123, 133, 140, 144, 145, 149, 154, 168, 170, 173, 175, 179, 184, 190, 198, 215, 228, 235, 245, 253, 259, 264, 268, 274, 275, 280, 285, 288, 294
Offset: 1

Views

Author

Artur Jasinski, Oct 11 2008

Keywords

Crossrefs

Programs

  • Maple
    select(k -> isprime(6*k+13) and isprime(12*k+13), [$0..1000]); # Robert Israel, Jan 23 2017
  • Mathematica
    aa = {}; k = 13; Do[If[PrimeQ[(k + Prime[n])/2], AppendTo[aa, (Prime[n] - k)/12]], {n, 1, 500}]; aa

Formula

a(n) = (A145474(n)-13)/12.

Extensions

Definition corrected by Ivan Neretin, Jan 23 2017

A145489 Numbers k such that 6k + 11 is prime and 12k + 5 is also prime.

Original entry on oeis.org

0, 1, 2, 3, 7, 8, 12, 16, 21, 23, 26, 37, 38, 42, 43, 47, 51, 56, 58, 63, 68, 73, 78, 91, 92, 98, 101, 106, 107, 108, 133, 136, 141, 142, 156, 157, 162, 173, 192, 196, 201, 203, 212, 218, 227, 233, 236, 238, 246, 247, 257, 267, 268, 271, 287, 296, 306, 313, 316, 323, 327, 332, 346, 353, 357, 366, 367, 371, 376, 387, 401, 406, 411, 423, 441, 442, 448, 453, 471, 472, 478, 483, 488, 491, 498
Offset: 1

Views

Author

Artur Jasinski, Oct 11 2008

Keywords

Crossrefs

Programs

  • Mathematica
    Select[Range[0,500], PrimeQ[6# + 11 ] && PrimeQ[12# + 5]&]
  • PARI
    isok(n) = isprime(6*n+11) && isprime(12*n+5); \\ Michel Marcus, Jan 24 2017

Formula

a(n) = (A145475(n) - 5)/12.

Extensions

Corrected by Artur Jasinski, Apr 01 2011
Previous Showing 11-12 of 12 results.