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A244150
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Numbers b such that b^262144+1 is prime.
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23
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1, 24518, 40734, 145310, 361658, 525094, 676754, 773620, 1415198, 1488256, 1615588, 1828858, 2042774, 2514168, 2611294, 2676404, 3060772, 3547726, 3596074, 3673932, 3853792, 3933508, 4246258, 4489246, 5152128, 5205422, 5828034, 6287774, 6291332, 8521794
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OFFSET
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1,2
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COMMENTS
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Base values b yielding a generalized Fermat prime b^(2^k)+1 for k=18.
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LINKS
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Jeppe Stig Nielsen, Table of n, a(n) for n = 1..32
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), 825-832.
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
PrimeGrid, PrimeGrid Primes - (GFN262144) Generalized Fermat Prime Search n=262144
PrimePages, 1488256^262144 + 1
PrimePages, 1615588^262144 + 1
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CROSSREFS
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Cf. A056993, A005574, A000068, A006314, A006313, A006315, A006316, A056994, A056995, A057465, A057002, A088361, A088362, A226528, A226529, A226530, A251597, A253854, A243959, A321323.
Sequence in context: A237207 A224423 A258441 * A229798 A195655 A203983
Adjacent sequences: A244147 A244148 A244149 * A244151 A244152 A244153
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KEYWORD
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nonn,hard
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AUTHOR
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Felix Fröhlich, Jun 21 2014
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EXTENSIONS
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a(9), announced in message 92163 in PrimeGrid forum, added by Felix Fröhlich, Feb 17 2016
a(10), a(11) sent by Maximilian Pacher, Jun 27 2016, and a(12) on Aug 24 2016. - N. J. A. Sloane
a(13) from Felix Fröhlich, Nov 27 2016
a(14)-a(17) from Jeppe Stig Nielsen, Sep 06 2017
a(1) = 1 inserted by and more terms from Jeppe Stig Nielsen, Sep 10 2018
a(27)-a(30) from Jeppe Stig Nielsen, Sep 21 2019
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STATUS
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approved
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