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Omni-MATH / How many integers n>1 are there such that n divides x¹³−x for every positive integer x?

Problem

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

problem

How many integers n>1n>1 are there such that nn divides x13−xx^{13}-x for every positive integer xx?
Plain-text mathematical notation (without MathML)
How many integers n>1 are there such that n divides x¹³−x for every positive integer x?
Original LaTeX notation
How many integers $n>1$ are there such that $n$ divides $x^{13}-x$ for every positive integer $x$?

Discussion

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Source and history

task_id
fd06b94d-e3dd-531b-a183-cbacdff40892
task_key
test--fd06b94d-e3dd-531b-a183-cbacdff40892
task_revision_id
1
config / split
/ test

Official source

initial import