A250394 Numbers k such that 56211383760397 + 44546738095860*k is prime.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 27, 40, 64, 72, 73, 74, 80, 82, 86, 90, 91, 92, 93, 94, 98, 105, 109, 114, 123, 124, 136, 137, 146, 153, 156, 158, 159, 160, 166, 183, 185, 186, 194, 199, 204, 213, 216, 217, 228

Offset: 1

Author

Vincenzo Librandi, Nov 21 2014

Keywords

• nonn
• easy

Comments

Terms up to 22 are consecutive. Arithmetic progression found in 2004 by Markus Frind, Paul Underwood, and Paul Jobling (see Green and Tao, 2008).

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000
• Ben Green and Terence Tao, The primes contain arbitrarily long arithmetic progressions, Annals of Mathematics, Vol. 167, No. 2 (2008), pp. 481-547; arXiv preprint, arXiv:math/0404188 [math.NT], 2004-2007.

Crossrefs

Cf. A002837, A056561, A180688, A250395.

Programs

Magma

[n: n in [0..300] | IsPrime(56211383760397+44546738095860*n)];

Mathematica

Select[Range[0, 300], PrimeQ[56211383760397 + 44546738095860 #]&]

PARI

is(n)=isprime(56211383760397+44546738095860*n) \\ Charles R Greathouse IV, Jun 13 2017