<P> The prime numbers for which this is true are called Pythagorean primes . For example , the primes 5 , 13 , 17 , 29 , 37 and 41 are all congruent to 1 modulo 4 , and they can be expressed as sums of two squares in the following ways : </P>
<P> The prime numbers for which this is true are called Pythagorean primes . For example , the primes 5 , 13 , 17 , 29 , 37 and 41 are all congruent to 1 modulo 4 , and they can be expressed as sums of two squares in the following ways : </P>
numbers that are the sum of two squares
numbers that are the sum of two squares
5 13 17 29 37 41
5 13 17 29 37 41