- #1
cragar
- 2,552
- 3
Homework Statement
Prove that every prime of the form 4k+1 is a hypotenuse of a rectangular triangle with integer sides.
The Attempt at a Solution
I tried messing around with the Pythagorean theorem but not really sure where to go.
[itex] x^2+y^2=(4k+1)^2 [/itex]
it seems like there would exist x and y that make that true, but I haven't really said anything about the primes