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Omni-MATH / Find all ordered triples of primes (p,q,r) such that p∣q^(r)+1, q∣r^(p)+1, r∣p^(q)+1. [i]Reid Barton[/i]

Problem

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problem

Find all ordered triples of primes

(p, q, r)

such that

p \mid q^r + 1, \quad q \mid r^p + 1, \quad r \mid p^q + 1.

[i]Reid Barton[/i]

Plain-text mathematical notation (without MathML)

Find all ordered triples of primes (p,q,r) such that p∣q^(r)+1, q∣r^(p)+1, r∣p^(q)+1. [i]Reid Barton[/i]

Original LaTeX notation

Find all ordered triples of primes $(p, q, r)$ such that \[ p \mid q^r + 1, \quad q \mid r^p + 1, \quad r \mid p^q + 1.  \] [i]Reid Barton[/i]

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task_id: 15e65c69-7ccb-57a2-9b9d-e8363d6d69c5
task_key: test--15e65c69-7ccb-57a2-9b9d-e8363d6d69c5
task_revision_id: 2
config / split: / test

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