Wolno im, czy im nie wolno?

Abstract:
1. The method of solving the equation: g = z^{2} - x^{2} with given g:
2. The proof of the theorem X^{4} + Y^{4} ≠ Z^{2} with X, Y, Z ∈ {1, 2, 3, ...}.
3. Corollary 1 (Hilbert's false proof of the theorem X^{4} + Y^{4} ≠ Z^{2} ).
4. Two proofs of the Fermat's Last Theorem (FLT).
5. Corollary 2 (Wiles' absurd proof of FLT).
6. The Birch and Swinnerton-Dyer Conjecture:
a). the answer, if  (1) is equal to 0;
b). the answer; if  (1) is not equal to 0.
7. Indirect Destruction of the Riemann hypothesis.
8. Goldbach's complete conjecture.