A180688 -id:A180688 - cp's OEIS frontend

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

Vincenzo Librandi, Nov 21 2014

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

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.

Cf. A002837, A056561, A180688, A250395.

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

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

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

A250395 Numbers k such that 11410337850553 + 4609098694200*k is prime.

Original entry on oeis.org

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

Vincenzo Librandi, Nov 21 2014

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

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.

Cf. A002837, A056561, A180688, A250394.

[n: n in [0..200] | IsPrime(11410337850553+4609098694200*n)];

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

is(n)=isprime(11410337850553+4609098694200*n) \\ Charles R Greathouse IV, Jun 13 2017

cp's OEIS Frontend

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

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