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variants of this functions
BernoulliB






Mathematica Notation

Traditional Notation









Integer Functions > BernoulliB[n] > Other identities > Congruence properties





http://functions.wolfram.com/04.13.32.0004.01









  


  










Input Form





Mod[((1 - p^(n - 1))/n) BernoulliB[n], p^e] == Mod[((1 - p^(m - 1))/m) BernoulliB[m], p^e] /; Element[p, Primes] && p >= 5 && Element[n, Integers] && n > 0 && Element[m, Integers] && m > 0 && Mod[n, p^e] == Mod[m, p^e]










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-12-18





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