A244150 Numbers b such that b^262144+1 is prime.

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

Offset: 1

Author

Felix Fröhlich, Jun 21 2014

Keywords

• nonn
• hard

Comments

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

Links

• Jeppe Stig Nielsen, Table of n, a(n) for n = 1..128
• C. Caldwell, The largest known primes (Primes with 600,000 or more digits)
• C. Caldwell, The Prime Pages Database Search Output
• 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

Crossrefs

Cf. A056993, A005574, A000068, A006314, A006313, A006315, A006316, A056994, A056995, A057465, A057002, A088361, A088362, A226528, A226529, A226530, A251597, A253854, A243959, A321323.

Extensions

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