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Search: id:A070157
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| A070157 |
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n-1, n+1, 1+n^2, 1+n^4 and 1+n^8 are all prime numbers. |
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4
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| 4, 19380, 9443670, 11054760, 15992070, 22482330, 32557380, 51102510, 57978840, 60549240, 64671570, 84045960, 89757960, 111316170, 112821690, 116433510, 171124380, 171418650, 183082350, 196694760, 197021160, 241803240, 266498460
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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3, 5, 17, 257, 65537 are the Fermat primes; 19379, 19381, 375584401, 141063641523360001 and 19898950959831015581425689600000001 are primes.
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MATHEMATICA
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Do[p = Prime[n] + 1; If[ PrimeQ[p + 1] && PrimeQ[1 + p^2] && PrimeQ[1 + p^4] && PrimeQ[1 + p^8], Print[p]], {n, 1, 115000000}]
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CROSSREFS
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Cf. A070155, A070156.
Sequence in context: A152840 A003832 A162703 this_sequence A003556 A053015 A089210
Adjacent sequences: A070154 A070155 A070156 this_sequence A070158 A070159 A070160
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 23 2002
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), May 04 2002
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