Two squares, 2 and powers of 5

[JSH]

4² + 3² = 5²

13² + 9² = 2(5³)

7² + 24² = 5⁴

79² + 3² = 2(5⁵)

44² + 117² = 5⁶

307² + 249² = 2(5⁷)

Which got using my BQD Iterator to get two squares summed to powers of 10, and then divided off shared factors of 2. 

Like looking at those first, of an infinite series.

James Harris