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Old 2005-09-11, 16:56   #8
T.Rex
 
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Feb 2004
France

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OK. I understand your points now.
So, seems we have a conjecture for a Pépin-like test for Mersenne numbers ?!
Is it something new ? I've searched in my books and found nothing.

q \equiv 1 \ \pmod{4} , \ M_q\text{ is prime }  \Longleftrightarrow  \ \ 5^{\frac{M_q-1}{2}} \ \equiv \ 1 \  \ \pmod{M_q}

Your opinion ?

Tony
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