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A122272 Numbers n such that numerator of Bernoulli number B(n) is divisible by p^4, where p is prime. 5
1250, 3750, 4802, 6250, 8750, 9604 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The smallest prime p such that p^4 divides the Numerator of BernoulliB[ a(n) ] are given in A122273[n] = {5,5,7,5,5,7,...}. Note that numerator of BernoulliB[6250] is divisible by 5^5. a(n) is a subset of A122270[n] = {250,686,750,1250,1372,1750,...} Numbers n such that numerator of Bernoulli number B(n) is divisible by a cube. a(n) is also a subset of A090997[n] = {50,98,150,196,228,242,250,...} Numbers n such that numerator of Bernoulli number B(n) is divisible by a square.

LINKS

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

FORMULA

A122273[n]^4 divides numerator of BernoulliB[ A122272(n) ].

EXAMPLE

a(1) = 1250 because 5^4 divides Numerator[ BernoulliB[ 1250 ] ].

a(3) = 4802 because 7^4 divides Numerator[ BernoulliB[ 4802 ] ].

CROSSREFS

Cf. A122273, A000367, A090997, A090987, A122270, A122271.

Sequence in context: A020384 A086709 A120376 * A195810 A106322 A184610

Adjacent sequences:  A122269 A122270 A122271 * A122273 A122274 A122275

KEYWORD

nonn

AUTHOR

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

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Last modified February 17 13:14 EST 2012. Contains 206031 sequences.