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...very even perfect number must have this form can be given using elementary number theory. The main prerequisite results from elementary number theory, besides a general familiarity with divisibility, are the following:

{{r|Number theory}}

...e book | author=Pierre Samuel | authorlink=Pierre Samuel | title=Algebraic number theory | publisher=Hermann/Kershaw | year=1972 }}

In [[number theory]] the '''partition function''' ''p''(''n'') counts the number of [[partitio

...the United States which supports research and conferences in the field of number theory.

...ational numbers of finite degree; a principal object of study in algebraic number theory.

The origins and subsequent developments of number theory, which is sometimes distinguished from arithmetic involving elementary calc

...d P. Erdős, ''On the number of sets of integers with various properties'', Number theory (Banff, 1988), de Gruyter, Berlin 1990, pp. 61–79.

...2 September 2005) French-born American mathematician known for his work in number theory and for his mathematics textbooks, including the influential ''Algebra''.

{{r|Number theory}}

In [[mathematics]], in the field of [[number theory]], the '''average order of an arithmetic function''' is some simpler or bet * {{cite book | title=Introduction to Analytic and Probabilistic Number Theory | author=Gérald Tenenbaum | series=Cambridge studies in advanced mathemati

{{r|Partition function (number theory)}}

...thor=Richard K. Guy|authorlink=Richard K. Guy|title=[[Unsolved Problems in Number Theory]]|publisher=[[Springer-Verlag]]|date=2004|isbn=0-387-20860-7}}

{{r|Number theory}}

* {{cite book | title=Introduction to Analytic and Probabilistic Number Theory | author=Gérald Tenenbaum | series=Cambridge studies in advanced mathemati

{{r|Number theory}}

...ath>. Their study forms a part of the branch of [[mathematics]] known as [[number theory]].

...es and the abc-conjecture | editor=Wüstholz, Gisbert | title=A panorama in number theory or The view from Baker's garden. | location=Cambridge | publisher=Cambridge ...$abc$-conjecture | pages=37-44 | editor=Győry, Kálmán (ed.) et al. | title=Number theory. Diophantine, computational and algebraic aspects. Proceedings of the inter

In [[number theory]], an '''arithmetic function''' is a function defined on the set of [[posit ...or multiplicative structure of the integers are of particular interest in number theory.

* {{cite book | author=Tom M. Apostol | title=Introduction to Analytic Number Theory | series=Undergraduate Texts in Mathematics | year=1976 | publisher=[[Sprin