On a conjecture of Erdos and Stewart

Luca, Florian

doi:10.1090/S0025-5718-00-01178-9

On a conjecture of Erdos and Stewart
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by Florian Luca;

Math. Comp. 70 (2001), 893-896

DOI: https://doi.org/10.1090/S0025-5718-00-01178-9

Published electronically: March 8, 2000

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Abstract:

For any $k\ge 1$, let $p_k$ be the $k$th prime number. In this paper, we confirm a conjecture of Erdős and Stewart concerning all the solutions of the diophantine equation $n!+1=p^a_kp^b_{k+1}$, when $p_{k-1}\le n<p_k$.

References

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