The concrete theory of numbers : New Mersenne conjectures. Simplicity and other wonderful properties of numbers $L(n) = 2^{2n}\pm2^n\pm1$

Details The concrete theory of numbers : New Mersenne conjectures. Simplicity and other wonderful properties of numbers $L(n) = 2^{2n}\pm2^n\pm1$ The concrete theory of numbers : New Mersenne conjectures. Simplicity and other wonderful properties of numbers $L(n) = 2^{2n}\pm2^n\pm1$

2008-04-24

arxiv.org/abs/0804.3830v1

Mathematics

General Mathematics

14 pages

Scientific paper

New Mersenne conjectures. The problems of simplicity, common prime divisors
and free from squares of numbers $L(n) = 2^{2n}\pm2^n\pm1$ are investigated.
Wonderful formulas $gcd $ for numbers $L (n) $ and numbers repunit are proved.

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