Posted by **Pythagoras's triple ** on Thursday, October 10, 2013 at 10:29pm.

A Pythagorean triple is an ordered triple of positive integers(a,b,c) such that a^2+B^2=c^2.Find

the number of the Pythagorean triples such that all the numbers a,b and c are prime?

- math -
**Reiny**, Thursday, October 10, 2013 at 11:30pm
for any natural numbers m and n where m and n are relatively prime

2mn, m^2-n^2 and m^2 + n^2 will form a Pythagorean triple.

since the smallest triple is 3,4,5,

one of the numbers (the 2mn) will always be even.

So there are no such Pythagorean triples where all 3 are primes.

## Answer this Question

## Related Questions

- math - Having trouble with these pairs of numbers (20,21,29) - (28,45,53) I am ...
- C programming - Pythagorean Triples. A right triangle can have sides that are ...
- Math - How to Generate Pythagorean Triples using an Odd Number 1. Start with an ...
- math - select at least 5 more Pythagorean Triples. Show why your 5 sets of ...
- Math - 1. Start with an odd number, e.g. 3. Then the square of 3 can be ...
- geometry - State whether the following numbers make a right triangle and a ...
- math - Is it possible to write a Pythagorean triple in which all the numbers are...
- Math/Geometry - A correct answer will yield me an "A" all SEMESTER, so help is ...
- math - Is it possible to write a Pythagorean triple in which all of the numbers ...
- math - Is it possible to write a Pythagorean triple in which all of the numbers ...

More Related Questions