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Search: id:A100598
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| A100598 |
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Numbers n such that (prime(n)-1)! + prime(n)^8 is prime. |
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+0
1
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OFFSET
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1,2
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COMMENT
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n={1, 2, 4, 5, 8, 10} yields primes p(n)={2, 3, 7, 11, 19, 29}. There are no more such n up to n=100. Computed in collaboration with Ray Chandler.
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LINKS
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J. V. Post, Math Pages.
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EXAMPLE
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a(1) = 1 because (prime(1)-1)! + prime(1)^8 = (2-1)! + 2^8 = 257 is the smallest prime of that form.
a(5) = 8 because (prime(8)-1)! + prime(8)^8 = (19-1)! + 19^8 = 304888344611713861001750412961 is the 5th smallest prime of that form.
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MATHEMATICA
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lst={}; Do[p=Prime[n]; If[PrimeQ[(p-1)!+p^8], AppendTo[lst, n]], {n, 10^2}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 08 2008]
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CROSSREFS
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Cf. A100858.
Sequence in context: A092739 A101394 A095031 this_sequence A079537 A094591 A134191
Adjacent sequences: A100595 A100596 A100597 this_sequence A100599 A100600 A100601
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KEYWORD
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nonn,less
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 30 2004
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion of Andrew Plewe, Jun 08 2007
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