eng Science and Education Publishing American Journal of Educational Research 2327-6150 2016-05-03 4 7 504 506 10.12691/education-4-7-1 EDUCATION2016471 article Leszek W. Gu?a yethi@wp.pl 1 Lublin, Poland The Gu?a's Theorem. Only one in the world the proper proof of Fermat's Last Theorem for n=4. Disproof the Birch and Swinnerton-Dyer Conjecture. The proof of Goldbach's Conjecture. http://pubs.sciepub.com/education/4/7/1/education-4-7-1.pdf Birch and Swinnerton-Dyer Conjecture Common Prime Factor Diophantine Equations Diophantine Inequalities Fermat Equation Greatest Common Divisor Newton Binomial Formula