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A054679
First of n consecutive primes which differ by a multiple of 6.
5
2, 23, 47, 251, 1741, 1741, 19471, 118801, 148531, 148531, 406951, 1820111, 2339041, 19725473, 19725473, 73451737, 232301497, 400414121, 489144599, 489144599, 766319189, 766319189, 21549657539, 21549657539, 21549657539, 140432294381, 140432294381, 437339303279, 1552841185921, 1552841185921, 1552841185921
OFFSET
1,1
COMMENTS
See A276414 for the indices of these primes. - M. F. Hasler, Sep 02 2016
The sequence is infinite, by Shiu's theorem. - Jonathan Sondow, Jun 22 2017
LINKS
Giovanni Resta, Table of n, a(n) for n = 1..35 (terms < 4*10^14) (corrected by Ray Chandler, Jan 19 2019)
D. K. L. Shiu, Strings of Congruent Primes, J. Lond. Math. Soc. 61 (2) (2000) 359-373 [MR1760689]
FORMULA
a(n) = A000040(A276414(n)). - M. F. Hasler, Sep 02 2016
a(n) = min(A057620(n), A057621(n)) for all n >= 1. - M. F. Hasler, Sep 03 2016
CROSSREFS
KEYWORD
nonn
AUTHOR
Jeff Burch, Apr 18 2000
EXTENSIONS
More terms from Larry Reeves (larryr(AT)acm.org), Nov 09 2000
More terms from Jens Kruse Andersen, May 30 2006
Initial term and a(27)-a(31) added and name edited by M. F. Hasler, Sep 02 2016
STATUS
approved