A250395 Numbers k such that 11410337850553 + 4609098694200*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, 26, 30, 31, 41, 43, 50, 57, 61, 69, 75, 88, 90, 98, 99, 101, 108, 116, 127, 128, 131, 132, 133, 146, 154, 156, 159, 160, 162, 164, 165, 171, 172, 182, 183, 188, 191, 193, 194, 197

Offset

1,3

Comments

Terms up to 21 are consecutive. Arithmetic progression found by Pritchard et al. (1995).

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.

Paul A. Pritchard, Andrew Moran and Anthony Thyssen, Twenty-two primes in arithmetic progression, Mathematics of Computation, Vol. 64, No. 211 (1995), pp. 1337-1339.

Mathematica

Select[Range[0, 300], PrimeQ[11410337850553 + 4609098694200 #] &]

Prog

(Magma) [n: n in [0..200] | IsPrime(11410337850553+4609098694200*n)];
(PARI) is(n)=isprime(11410337850553+4609098694200*n) \\ Charles R Greathouse IV, Jun 13 2017

Crossrefs

Cf. A002837, A056561, A180688, A250394.

Sequence in context: A241673 A258009 A108192 * A371123 A273880 A203565

Adjacent sequences: A250392 A250393 A250394 * A250396 A250397 A250398

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 21 2014

Status

approved