Editing Algebraic number theory (section)

===Fermat===
[[Fermat's Last Theorem]] was first [[conjectured]] by [[Pierre de Fermat]] in 1637, famously in the margin of a copy of ''Arithmetica'' where he claimed he had a proof that was too large to fit in the margin. No successful proof was published until 1995 despite the efforts of countless mathematicians during the 358 intervening years. The unsolved problem stimulated the development of algebraic number theory in the 19th century and the proof of the [[modularity theorem]] in the 20th century.