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Which numbers can be written as the sum of an odd and an even square, and in how many ways?

Guest Apr 8, 2017
 #1
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Well, for one 25 meets your conditions:25 =3^2 + 4^2 =9 + 16 =25.  Another number is 85, because you can write it as: 6^2 + 7^2 =85 =2^2 + 9^2 =4 + 81 =85....and so on. There are probably an infinite number of such numbers.

Guest Apr 8, 2017
 #2
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The number must be odd

If it is a prime number modulo 4 = 1, it works

Guest Apr 10, 2017

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