1260 —
Al-Farisi gave a new proof of
Thābit ibn Qurra's theorem, introducing important new ideas concerning
factorization and
combinatorial methods. He also gave the pair of amicable numbers 17296 and 18416 which have also been jointly attributed to
Fermat as well as Thabit ibn Qurra.[2]
1983 —
Gerd Faltings proves the
Mordell conjecture and thereby shows that there are only finitely many whole number solutions for each exponent of Fermat's Last Theorem.