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Search: id:A067775
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| A067775 |
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Primes n such that n!*B(n+3) is an integer where B(k) are the Bernoulli numbers B(1)=-1/2 B(2)=1/6 B(4)=-1/30... B(2m+1)=0 m>1. |
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2
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| 2, 5, 11, 17, 23, 29, 31, 41, 47, 53, 59, 61, 71, 73, 83, 89, 101, 107, 113, 131, 137, 139, 149, 151, 157, 167, 173, 179, 181, 191, 197, 199, 211, 227, 233, 239, 241, 251, 257, 263, 269, 271, 281, 283, 293, 311, 317, 331, 337, 347, 353, 359, 367, 373, 383, 389
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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If n is prime n!*B(n-1) is always an integer.
Also primes p such that p + 4 is composite. [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 14 2008]
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LINKS
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Klaus Brockhaus, Table of n, a(n) for n=1..1026
Eric Weisstein's World of Mathematics, Bernoulli Number [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 14 2008]
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MATHEMATICA
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lst = {}; Do[p = Prime@ n; If[ IntegerQ[ p! BernoulliB[p + 3]], AppendTo[lst, p]], {n, 77}]; lst (* Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 19 2008 *)
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CROSSREFS
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Cf. A049591.
Sequence in context: A136244 A118754 A140559 this_sequence A138644 A164921 A156830
Adjacent sequences: A067772 A067773 A067774 this_sequence A067776 A067777 A067778
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 06 2002
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