Extension of the Fermat's numbers

Numbers of Fermat, Formulas for prime numbers, Prime numbers between consecutive powers, Sums of squares, Imbalzano's Test, Extended numbers (X^2+1), Theorem for the forms (ax^2+bx+c) and (X^2+1)/2, Goldbach sums, Differences between prime numbers, Limitation of twin prime numbers, Repulsion of prime numbers, Conjecture of Riemann, Observation for Physicist, Limitation of perfect numbers, Germain-Mersenne-Fermat infinity, Perfect numbers, Infinity of forms (2^p-1) and (2^p+1)/3, Solution of enigmatic Fermat sequence n=2^(2^k)+1. This is a first edition (complete proofs in other version)