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Search: id:A073308
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| A073308 |
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Numbers n such that n!+n+1 is prime. |
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+0
3
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OFFSET
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1,3
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COMMENT
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Clearly, for n>2, n <> 2 (mod 3). Often n!+2, n!+3, ..., n!+n is cited as a constructed sequence of n-1 consecutive composite numbers. Additional terms are greater than 1960.
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REFERENCES
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J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 52, p. 20, Ellipses, Paris 2008.
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PROGRAM
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(PARI) for(n=0, 1960, if(isprime(n!+n+1), print1(n, ", ")))
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CROSSREFS
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Cf. A073309 (corresponding primes), A002981 (n!+1 is prime).
Adjacent sequences: A073305 A073306 A073307 this_sequence A073309 A073310 A073311
Sequence in context: A095007 A005194 A085809 this_sequence A058960 A036053 A088906
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KEYWORD
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nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 24 2002
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EXTENSIONS
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6822 from T. D. Noe (noe(AT)sspectra.com), Jan 18 2008
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