Inspired by Sharky Kesa

Number Theory Level 4

Find the largest value of n > 1 n > 1 such that

1 2 + 2 2 + … + n 2 1^2 + 2^2 + \ldots + n^2

is a perfect square.

Inspiration


The answer is 24.

Isaac Buckley by Isaac Buckley , 24, United Kingdom

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1 solution

This is more complicated than I first thought. A complete proof was first provided by Watson, based on investigations by Lucas and Gerono, and published here .

A more general discussion is provided here .

(Sorry for just providing links, but it didn't seem like an efficient use of time to duplicate here the information already provided in them.)

4 Helpful 0 Interesting 0 Brilliant 0 Confused

You just saved me posting the same link (thank you, OEIS).

Mark Hennings - 5 years, 4 months ago

That's LONG.

Abdur Rehman Zahid - 4 years, 11 months ago

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