Prime Curios!: 2521

2521
(another Prime Pages' Curiosity)

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(2 x 2521) - 1 = 71² and 2 x (2521 - 1) = 7!. [Forslund]

2521 minus one is the smallest EPORN.

2521² = 1456³ - 1455³, i.e., one solution to the Diophantine equation z² = x³ - y³. A Diophantine equation is a polynomial equation in which only integer solutions are allowed. These are named after the Greek algebraist Diophantus who lived in the 3rd century. [Mizuki]

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