The Conjecture About The Prime Numbers Of Mersenne

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Author : Spanu Dumitru Viorel Address : Street Marcu Mihaela Ruxandra no.5 , 061524 , flat 47 , Bucharest , Romania E-mail : [email protected] [email protected] [email protected] Phones : +402141311107 0731522216

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 .

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