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

1,3

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.

Mathematica

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

Prog

(Magma) [n: n in [0..300] | IsPrime(56211383760397+44546738095860*n)];
(PARI) is(n)=isprime(56211383760397+44546738095860*n) \\ Charles R Greathouse IV, Jun 13 2017

Crossrefs

Cf. A002837, A056561, A180688, A250395.

Sequence in context: A246087 A246094 A272269 * A062996 A085380 A335469

Adjacent sequences: A250391 A250392 A250393 * A250395 A250396 A250397

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 21 2014

Status

approved