

A251597


Numbers b such that b^65536 + 1 is prime.


5



48594, 108368, 141146, 189590, 255694, 291726, 292550, 357868, 440846, 544118, 549868, 671600, 843832, 857678, 1024390, 1057476, 1087540, 1266062, 1361846, 1374038, 1478036, 1483076, 1540550, 1828502, 1874512, 1927034, 1966374, 2019300, 2041898, 2056292
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OFFSET

1,1


COMMENTS

Base values b yielding a generalized Fermat prime b^(2^k) + 1 for k=16.
Also in sequence, but with unknown position (index), are 17629398, 17655444, 17684828, 19502212.  Jeppe Stig Nielsen, Jun 29 2015
First square member of sequence is 3934049284 = (A253854(1))^2.  Jeppe Stig Nielsen, Jun 29 2015


LINKS

Felix Fröhlich, Table of n, a(n) for n = 1..69
C. K. Caldwell, The Prime Database, Search Output.
Y. Gallot, Generalized Fermat Prime Search
Merfighters, Table of known GF primes b^n+1 where n(exponent) is at least 8192, Mersenne Wiki
J. S. S. Nielsen, Generalized Fermat Primes sorted by base (see table at the bottom of the page)
PrimeGrid, GFN Status by nRange, Message 89145


CROSSREFS

Cf. A056993, A005574, A006315, A006316, A226528, A226529, A226530, A253854, A244150, A243959.
Sequence in context: A278020 A237105 A234230 * A228676 A268852 A024753
Adjacent sequences: A251594 A251595 A251596 * A251598 A251599 A251600


KEYWORD

nonn


AUTHOR

Felix Fröhlich, Dec 05 2014


EXTENSIONS

Corrected last term, and extended, by Jeppe Stig Nielsen, Jun 29 2015
New bfile, updated with data from Message 89145 at PrimeGrid forum uploaded and sequence data corrected, by Felix Fröhlich, Jan 03 2016


STATUS

approved



