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A122272
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Numbers m such that the numerator of the Bernoulli number B(m) is divisible by p^4, where p is prime.
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5
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OFFSET
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1,1
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COMMENTS
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For each m in the current sequence, the smallest prime p such that p^4 divides the numerator of the Bernoulli number B(m) is listed in A122273.
Note that the numerator of B(6250) is divisible by 5^5.
The current sequence is a subsequence of A122270, which are the numbers m such that the numerator of the Bernoulli number B(m) is divisible by a cube.
Sequence A122270 itself is a subsequence of A090997, which are the numbers m such that the numerator of the Bernoulli number B(m) is divisible by a square. [Edited by Petros Hadjicostas, May 12 2020]
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LINKS
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EXAMPLE
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a(1) = 1250 because 5^4 divides numerator(B(1250)).
a(3) = 4802 because 7^4 divides numerator(B(4802)).
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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