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Date: 19-1-2020
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Date: 16-7-2020
770
Date: 18-10-2020
662
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Let be an odd prime, be an integer such that and , and
Then the following are equivalent
1. is prime.
2. There exists an such that ,
where GCD is the greatest common divisor (i.e., and are relatively prime). This is a modified version of the original theorem due to Lehmer.
REFERENCES:
Pocklington, H. C. "The Determination of the Prime or Composite Nature of Large Numbers by Fermat's Theorem." Proc. Cambridge Phil. Soc. 18, 29-30, 1914/16.
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