Kishan Patel	9/27	HW5

3)
a=2mn
60=mn
mxn=60
1*60
2*30
3*20
4*15
5*12
6*10
b=1^2-60^2=3599		c=1^2+60^2		Primitive
b=896			c=904			not
b=391			c=409			Primitive
b=209			c=241			Primitive
b=119			c=169			Primitive
b=64			c=136			not primitive

4)
a^2+b^2=c^2
let a be odd, and b=2
let a + b = c, a + 2 = c now garuntees that the these numbers are relatively prime
and since there are infinetly numbers of primes and integers to fill this.
5) Euler
6)Pierre de Fermat
7)Gerhard Frey
8)Andrew Wiles