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Old 2022-05-24, 23:11   #2
Dobri
 
"Καλός"
May 2018

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Quote:
Originally Posted by Tomazio View Post
How can I prove that if p=3 (mod 4) is a Sophie Germain prime then the Mersenne number 2^p-1 is composite?
Thanks in advance.
See the following manuscript:
Édouard Lucas, Théorie des Fonctions Numériques Simplement Périodiques, American Journal of Mathematics, Vol. 1, No. 4 (1878), pp. 184-240 and 289-321 (in French).
Available: <http://edouardlucas.free.fr/oeuvres/...eriodiques.pdf>.
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