A260751 25 primes in arithmetic progression: a(n) = 6171054912832631 + (n-1)*81737658082080 for n = 1, 2, ..., 25.

6171054912832631, 6252792570914711, 6334530228996791, 6416267887078871, 6498005545160951, 6579743203243031, 6661480861325111, 6743218519407191, 6824956177489271, 6906693835571351, 6988431493653431, 7070169151735511, 7151906809817591, 7233644467899671

Offset

1,1

Comments

This was the longest known sequence of primes in arithmetic progression from 17 May 2008 to 12 April 2010.

Links

Marco Ripà, Table of n, a(n) for n = 1..25

Jens Kruse Andersen, All known AP24 to AP26.

Wikipedia, Largest known primes in AP.

Formula

a(n) = 6171054912832631 + (n-1)*366384*A002110(9) with 1 <= n <= 25.

Example

a(25) = 6171054912832631 + 24*81737658082080 = 8132758706802551 is prime.

Mathematica

Table[6171054912832631 + (n - 1) 81737658082080, {n, 1, 25}] (* Bruno Berselli, Aug 06 2015 *)

Prog

(Sage) [6171054912832631+(n-1)*81737658082080 for n in (1..25)] # Bruno Berselli, Aug 06 2015
(Magma) [6171054912832631+(n-1)*81737658082080: n in [1..25]]; // Bruno Berselli, Aug 06 2015

Crossrefs

Cf. A002110, A204189.

Sequence in context: A116500 A173533 A358546 * A233852 A011529 A136607

Adjacent sequences: A260748 A260749 A260750 * A260752 A260753 A260754

Keyword

nonn,fini,full

Author

Marco Ripà, Aug 05 2015

Status

approved