[go: up one dir, main page]

login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A260751
25 primes in arithmetic progression: a(n) = 6171054912832631 + (n-1)*81737658082080 for n = 1, 2, ..., 25.
14
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
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
KEYWORD
nonn,fini,full
AUTHOR
Marco Ripà, Aug 05 2015
STATUS
approved