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Omni-MATH / Determine whether or not there exist positive integers a and b such that a does not divide b^n minus{} n for all positive integers n.

Problem

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problem

Determine whether or not there exist positive integers

a

and

b

such that

a

does not divide $ b^n \minus{} n$ for all positive integers

n

Plain-text mathematical notation (without MathML)

Determine whether or not there exist positive integers a and b such that a does not divide $ b^n \minus{} n$ for all positive integers n.

Original LaTeX notation

Determine whether or not there exist positive integers $ a$ and $ b$ such that $ a$ does not divide $ b^n \minus{} n$ for all positive integers $ n$.

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task_id: 19d1ef5b-081f-5651-b106-aabf05dac19b
task_key: test--19d1ef5b-081f-5651-b106-aabf05dac19b
task_revision_id: 3
config / split: / test

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