In number theory fermats last theorem sometimes called fermats conjecture especially in older texts states that no three positive integers a b and c satisfy the equation a n b n c n for any integer value of n greater than 2 the cases n 1 and n 2 have been known since antiquity to have infinitely many solutions. Jul 17 2020 5 min read figure by agsandrew shutterstockcom fermats last theorem flt states that there are no positive integers x y and z that satisfy the following diophantine equation. Fermats last theorem fermats last theorem states that the equation x n y n z xyz6 0 has no integer solutions when nis greater than or equal to 3. Berkeley electronic press selected works