Find the least integer such that can be written as sum of two squares in four ways

Also, find the next few ones.

Find the least integer such that can be written as sum of two squares in **five** ways

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Or, we could use the identities:

to form a 3 x 3 grid:

………. …………………

……………. ……………

………………… …………….

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–> there’s an infinite family containing :

…………………………….. ………………..

………. ……….

……… ………..

Similarly an infinite family containing is given by

………………………………………….. ………………..

…………… …………….

…………… …………….

The least integer is 65, the next few are:- ,85, 130, 145, 170.

and 5 terms is

725

P

Nice.

And we can place them in a 3 x 3 grid

Other possible solutions