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A122273 Smallest prime p such that p^4 divides the numerator of Bernoulli number B(n). +0
5
5, 5, 7, 5, 5, 7 (list; graph; listen)
OFFSET

1,1

COMMENT

A122272[n] begins {1250,3750,4802,6250,8750,9604,...} - Numbers n such that numerator of Bernoulli number B(n) is divisible by p^4, where p is prime. Note that numerator of BernoulliB[6250] is divisible by 5^5.

LINKS

Table of factors of the numerators of Bernoulli numbers Bn in the range n=2,...,10000. at www.bernoulli.org

FORMULA

a(n)^4 divides Numerator[ BernoulliB[ A122272(n) ] ].

CROSSREFS

Cf. A122272, A122270, A122271, A000367, A090997, A090987.

Sequence in context: A049789 A011500 A003103 this_sequence A052247 A088201 A139261

Adjacent sequences: A122270 A122271 A122272 this_sequence A122274 A122275 A122276

KEYWORD

nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 28 2006

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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