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Omni-MATH / Find all triples (a,b,p) of positive integers with p prime and a^(p)=b!+p.

Problem

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problem

Find all triples (a,b,p)(a,b,p) of positive integers with pp prime and ap=b!+p. a^p=b!+p.
Plain-text mathematical notation (without MathML)
Find all triples (a,b,p) of positive integers with p prime and a^(p)=b!+p.
Original LaTeX notation
Find all triples $(a,b,p)$ of positive integers with $p$ prime and \[ a^p=b!+p. \]

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