Fermat polygonal number theorem

id: fermat-polygonal-number-theorem-253-5568375
title: Fermat polygonal number theorem
text: In additive number theory, the Fermat polygonal number theorem states that every positive integer is a sum of at most n n-gonal numbers. That is, every positive integer can be written as the sum of three or fewer triangular numbers, and as the sum of four or fewer square numbers, and as the sum of five or fewer pentagonal numbers, and so on. That is, the n-gonal numbers form an additive basis of order n.
brand slug: wiki
category slug: encyclopedia
description: Every positive integer is a sum of at most n n-gonal numbers
original url: https://en.wikipedia.org/wiki/Fermat_polygonal_number_theorem
date created:
date modified: 2023-04-17T20:22:54Z
main entity: {"identifier":"Q1146791","url":"https://www.wikidata.org/entity/Q1146791"}
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