## Pythagorean triples

## Riddle #10

Given a number **N**, find the product of the numbers **a**, **b** and **c** that between them constitute a Pythagorean triple and whose sum is **N**.

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# Riddles

## Pythagorean triples

## Riddle #10

## Sum of prime numbers

## Riddle #11

## Triangular numbers

## Enigma #12

Given a number **N**, find the product of the numbers **a**, **b** and **c** that between them constitute a Pythagorean triple and whose sum is **N**.

Find the sum of the prime numbers less than **N** (excluded).

Find the first triangular number to have more than **N** divisors.