The criteria and its proof is given below:
But I do not understand why $p_{i} - 1|n-1$ implies $p_{i} | a^{n-1} - 1$ if we know that $p_{i} | a^{p_{i}-1} -1$. could anyone explain this for me please ?
2026-03-25 04:42:32.1774413752
An elaboration of a part in the proof of a criterion for finding Carmichael numbers.
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