Project Euler 9 Mystery Cache

Acknowledgements

This cache was inspired by Project Euler.

General notes

• To solve Project Euler puzzles, you will probably have to write a computer program.
• Many of the containers are small, and contain neither pen nor pencil.
• There are explicit finding notes in each geochecker.

The Puzzle

A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,

a² + b² = c².

Only one such triplet has sum 12: a = 3, b = 4, c = 5. The product of the triplet is 3 × 4 × 5 = 60.

To find this cache:

• Assume the coordinates have form N 52 xx.xxx E 0 x.xxx;
• Find the product of the triplet which has sum 223,060.
• Find the product of the triplet which has sum 59,196.