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Search: id:A112245
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| A112245 |
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Numbers n such that 65537*2^n+1 is prime. |
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+0
2
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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. These n yield provable primes. The primes are the smallest numbers in classes 303, 1711 and 81375 of the phi iteration (see A007755).
Jacques Molne found 512895. The corresponding provable prime is the smallest number in class 512911 of the Phi iteration.
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CROSSREFS
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Cf. A002253, A002254, A002259, A053345 (F*2^n+1 is prime, where F is a Fermat prime).
Sequence in context: A159949 A158252 A158287 this_sequence A011817 A035882 A061831
Adjacent sequences: A112242 A112243 A112244 this_sequence A112246 A112247 A112248
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KEYWORD
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hard,nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), Aug 30 2005, Aug 26 2007
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