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

Author

Marco Ripà, Aug 05 2015

Keywords

• nonn
• fini
• full

Comments

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

Examples

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

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.

Crossrefs

Cf. A002110, A204189, A261140, A327760, A363980, A374949.

Programs

Magma

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

Mathematica

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

Sage

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

Formula

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