

A109993


Numbers n such that 65537 * 2^n  1 is prime.


0



2, 14, 16, 18, 26, 30, 36, 42, 62, 132, 242, 294, 302, 666, 816, 824, 998, 1218, 1472, 2522, 3098, 4148, 6404, 8102, 25656, 26490, 56702, 76442
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OFFSET

1,1


COMMENTS

Note that 65537 = 2^16 + 1 is the largest known Fermat prime. All terms have been proved prime. Proof for the largest: PFGW Version 1.2.0 for Windows [FFT v23.8] Primality testing 65537*2^764421 [N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling BrillhartLehmerSelfridge with factored part 99.98% 65537*2^764421 is prime! (101.6260s+0.0044s)
No more terms up to 92000.


LINKS



MATHEMATICA

Select[Range[1, 1000], PrimeQ[65537*2^#  1] &] (* Julien Kluge, Jul 08 2016 *)


PROG



CROSSREFS



KEYWORD

more,nonn


AUTHOR



STATUS

approved



