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Omni-MATH / Find all positive integer m if there exists prime number p such that n^mminus{}m can not be divided by p for any integer n.

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Find all positive integer

m

if there exists prime number

p

such that $ n^m\minus{}m$ can not be divided by

p

for any integer

n

Plain-text mathematical notation (without MathML)

Find all positive integer m if there exists prime number p such that $ n^m\minus{}m$ can not be divided by p for any integer n.

Original LaTeX notation

Find all positive integer $ m$ if there exists prime number $ p$ such that $ n^m\minus{}m$ can not be divided by $ p$ for any integer $ n$.

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task_id: ba2731f6-6a64-5506-ba62-cfb381d64e23
task_key: test--ba2731f6-6a64-5506-ba62-cfb381d64e23
task_revision_id: 4
config / split: / test

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