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Omni-MATH / For any positive integer d, prove there are infinitely many positive integers n such that d(n!)−1 is a composite number.

Problem

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problem

For any positive integer

d

, prove there are infinitely many positive integers

n

such that

d(n!)-1

is a composite number.

Plain-text mathematical notation (without MathML)

For any positive integer d, prove there are infinitely many positive integers n such that  d(n!)−1 is a composite number.

Original LaTeX notation

For any positive integer $d$, prove there are infinitely many positive integers $n$ such that  $d(n!)-1$ is a composite number.

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task_id: fc85ff17-d50d-58ff-aa23-7aebe71964d8
task_key: test--fc85ff17-d50d-58ff-aa23-7aebe71964d8
task_revision_id: 4
config / split: / test

Official source

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