Talk:Fermat polygonal number theorem

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Note

Does anybody know a proof or a sketch of the proof of this theorem to be added in this article? Or is there a proof available online? --Matikkapoika 20:02, 8 November 2005 (UTC)[reply]

The references now have two references to Nathanson's proof.

Accuracy

The article about Lagrange's Four Square Theorem says he proved the case of squares in 1770, not 1772.

Sketchy statement

I don't like the phrasing of this theorem: "Every positive integer is a sum of at most n n-polygonal numbers". Clearly 4 = 1 + 1 + 1 + 1 is a counterexample by that 1 is a 3-gonal number. It should be more like "Expressing any positive integer as a sum requires at most n n-gonal numbers."

Yup, fixed.

Done RobHar (talk) 04:17, 21 April 2011 (UTC)[reply]