A142854 Primes congruent to 56 mod 61.

239, 727, 971, 1093, 1459, 2069, 2557, 2801, 3167, 3533, 4021, 5119, 5851, 6217, 6827, 6949, 7193, 7559, 7681, 8291, 8779, 9511, 10243, 10487, 10853, 12073, 13049, 13171, 13537, 13781, 13903, 14879, 15733, 16831, 17807, 17929, 18539, 18661, 19759, 20369

Offset

1,1

Comments

Primes 6217 and 13537 are such that p!-2^p+1 is (probably) prime. - M. F. Hasler, Apr 09 2015

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Mathematica

Select[Prime[Range[2600]], MemberQ[{56}, Mod[#, 61]] &] (* Vincenzo Librandi, Sep 05 2012 *)
Select[Range[56, 21000, 61], PrimeQ] (* Harvey P. Dale, Feb 21 2024 *)

Prog

(Magma) [p: p in PrimesUpTo(21000) | p mod 61 eq 56 ] ; // Vincenzo Librandi, Sep 05 2012
(PARI) select(p->p%61==56, primes(2000)) \\ M. F. Hasler, Apr 09 2015

Crossrefs

Cf. A000040.

Sequence in context: A201787 A289390 A118574 * A065098 A256378 A256377

Adjacent sequences: A142851 A142852 A142853 * A142855 A142856 A142857

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved