Author : Spanu Dumitru Viorel Address : Street Marcu Mihaela Ruxandra no.5 , 061524 , flat 47 , Bucharest , Romania E-mail :
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The Conjecture about the prime numbers of Mersenne . There are infinitely many prime numbers Xi which are strictly greater than 17 and which are , each of them , equal to the sum of all the prime numbers - which are strictly less than a prime number j - so that , the numbers of Mersenne formed with the exponent Xi , that is
Xi
2
-
1
be , too , prime numbers .
For each mark i , there exist a distinct prime number j .