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Erdős Problem #405 — Prime-power values of a factorial plus a power

About 46 years old · traced to

Are there only finitely many triples (p,a,k)(p,a,k), with pp prime, satisfying (p−1)!+ap−1=pk(p-1)!+a^{p-1}=p^k?

References

Primary source

P. Erdős and R. L. Graham, Old and new problems and results in combinatorial number theory, Monographies de L'Enseignement Mathématique 28 (1980).

Additional references

P. Erdős and R. L. Graham, Old and new problems and results in combinatorial number theory, Monographies de L'Enseignement Mathématique 28 (1980).

factorialsnumber-theory
InErdős Problems
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