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On Fermat’s quotient, base two. (English) Zbl 0452.10001

Summary: This paper extends the search for solutions of the congruence \(2^{p-1}-1 \equiv 0\pmod {p^2}\) to the limit \(p < 6 \cdot {10^9}\). No solution, except the well-known \(p = 1093\) and \(p = 3511\), was found.

MSC:

11A07 Congruences; primitive roots; residue systems
11-04 Software, source code, etc. for problems pertaining to number theory
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