

A244150


Numbers b such that b^262144+1 is prime.


5



24518, 40734, 145310, 361658, 525094, 676754, 773620, 1415198, 1488256, 1615588, 1828858, 2042774
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OFFSET

1,1


COMMENTS

Base values b yielding a generalized Fermat prime b^(2^k)+1 for k=18.


LINKS

Table of n, a(n) for n=1..12.
C. Caldwell, The largest known primes (Primes with 600,000 or more digits)
H. Dubner and Y. Gallot, Distribution of generalized Fermat prime numbers, Math. Comp., 71 (2002), 825832.
M. Goetz, GFN Prime Discoveries, PrimeGrid forum.
J. S. S. Nielsen, Generalized Fermat Primes sorted by base (See table at the bottom of the page.)
PrimeGrid, Announcement of b=40734
PrimeGrid, Announcement of b=145310
PrimeGrid, Announcement of b=361658
PrimeGrid, Announcement of b=525094
PrimeGrid, Announcement of b=676754
PrimeGrid, Announcement of b=773620
PrimeGrid, Announcement of b=1415198
PrimeGrid, Announcement of b=1488256
PrimeGrid, Announcement of b=1615588
PrimeGrid, Announcement of b=1828858
PrimeGrid, Announcement of b=2042774
PrimePages, 1488256^262144 + 1
PrimePages, 1615588^262144 + 1


CROSSREFS

Cf. A056993, A005574, A006315, A006316, A226528, A226529, A226530, A251597, A253854, A243959.
Sequence in context: A237207 A224423 A258441 * A229798 A195655 A203983
Adjacent sequences: A244147 A244148 A244149 * A244151 A244152 A244153


KEYWORD

nonn,hard,more


AUTHOR

Felix Fröhlich, Jun 21 2014


EXTENSIONS

a(8), announced in message 92163 in PrimeGrid forum, added by Felix Fröhlich, Feb 17 2016
a(9), a(10) sent by Maximilian Pacher, Jun 27 2016, and a(11) on Aug 24 2016.  N. J. A. Sloane
a(12) from Felix Fröhlich, Nov 27 2016


STATUS

approved



