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Search: id:A109993
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| A109993 |
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Numbers n such that 65537 * 2^n - 1 is prime. |
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+0
1
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| 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
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1,1
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COMMENT
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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*2^76442-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 99.98% 65537*2^76442-1 is prime! (101.6260s+0.0044s) No more terms up to 92000.
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CROSSREFS
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Cf. A112245.
Sequence in context: A084674 A009774 A032933 this_sequence A075041 A105453 A121716
Adjacent sequences: A109990 A109991 A109992 this_sequence A109994 A109995 A109996
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KEYWORD
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more,nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Sep 01 2005
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