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Omni-MATH / Find all positive integers a,b,c and prime p satisfying that

Problem

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problem

Find all positive integers

a,b,c

and prime

p

satisfying that

2^a p^b=(p+2)^c+1.

Plain-text mathematical notation (without MathML)

Find all positive integers a,b,c and prime p satisfying that
2^(a)p^(b)=(p+2)^(c)+1.

Original LaTeX notation

Find all positive integers $a,b,c$ and prime $p$ satisfying that
\[ 2^a p^b=(p+2)^c+1.\]

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task_id: 27b40f4a-6700-5985-9c32-21f2e7f364f7
task_key: test--27b40f4a-6700-5985-9c32-21f2e7f364f7
task_revision_id: 3
config / split: / test

Official source

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