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Formula:8201

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Digital Library of Mathematical Functions ID 24.10.E2

p โข B 2 โข n โ‰ก p - 1 ( mod p โ„“ + 1 ) , modular-equivalence ๐‘ Bernoulli-number-B 2 ๐‘› annotated ๐‘ 1 pmod superscript ๐‘ โ„“ 1 {\displaystyle{\displaystyle pB_{2n}\equiv p-1\pmod{p^{\ell+1}},}}


Constraint(s)

Symbols List

  • B n Bernoulli-number-B ๐‘› {\displaystyle{\displaystyle B_{\NVar{n}}}} :
  • โ‰ก modular-equivalence {\displaystyle{\displaystyle\equiv}} :
  • โ„“ โ„“ {\displaystyle{\displaystyle\ell}} : integer
  • n ๐‘› {\displaystyle{\displaystyle n}} : integer
  • p ๐‘ {\displaystyle{\displaystyle p}} : prime
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This page was last edited on 28 January 2024, at 10:30.
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