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Search: id:A092970
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| A092970 |
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Smallest prime of the form n!/k + 1. k < = n, or 0 if no such prime exists. |
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+0
3
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| 2, 2, 3, 7, 31, 181, 1009, 13441, 45361, 453601, 3991681, 39916801, 566092801, 10897286401, 130767436801, 2988969984001, 25406244864001, 0, 8109673360588801, 304112751022080001, 2688996956405760001
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(10) = 453601 = 10!/8 + 1, as 10!/10 + 1 and 10!/9 + 1 are both composite.
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PROGRAM
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(PARI) a(n)=for (i=1, n, if(isprime(n!/(n-i+1)+1), return((n!/(n-i+1)+1))))
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CROSSREFS
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Cf. A092968, A092969, A092068.
Sequence in context: A038507 A077001 A087522 this_sequence A052449 A053413 A089543
Adjacent sequences: A092967 A092968 A092969 this_sequence A092971 A092972 A092973
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 26 2004
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EXTENSIONS
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Corrected and extended by Mohammed Bouayoun (bouyao(AT)wanadoo.fr), Mar 26 2004
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