Finding Lattice Points on an Elliptical Curve

We like nice round numbers. We like it even more when these are the solutions to complex equations. We love it when these solutions help find primes. Lattice points on elliptical curves are used in the Sieve of Atkin.

Euler #9: Special Pythagorean Triplet

Pythagorean triplets acted as speed squares in ancient carpentry. The Babylonians knew of them before Pythagoras’s time. Euclid’s Formula makes a guest appearance.