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Old 2005-09-12, 07:56   #13
T.Rex
 
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Feb 2004
France

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Default Pépin's test proved by means of LLT means

Hi Cyrix,
About what I said about proving that a Pépin's-like test can be used for Mersenne numbers, look at the bottom of page 4 of this
paper, which clearly shows that one can prove the Pépin's test (with k=3) for Fermat numbers by means of technics developped by Lucas and refined by Ribenboim for Mersenne numbers, and that I generalized and applied to Fermat numbers.
So I guess the same could be done (with k=5) for Mersenne numbers.
The problem is to find the appropriate Lucas Sequence, I think.
Tony
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