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...subgroup]] which has [[Order of a subgroup|order]] which is a power of a [[prime number]], and which is not strictly contained in any other subgroup with the same

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...states that every positive whole number can be expressed as a product of [[prime number]]s in essentially only one way. For instance, <math>12=2 \times 2 \times 3

If the natural number <math>\scriptstyle p\ </math> is a [[prime number]] then it holds that ...divides <math>\scriptstyle V_m(P,Q)-P\ </math> then is <math>m\ </math> a prime number) are individually false and lead to [[Fibonacci pseudoprime|Fibonacci pseud

...' in [[analytic number theory]] is an upper bound on the distribution on [[prime number|prime]]s in an [[arithmetic progression]]. It states that, if <math>\pi(x;

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...Carmichael numbers may be extended<ref>Paulo Ribenboim, ''The new book of prime number records'', Springer-Verlag (1996) ISBN 0-387-94457-5. P.120</ref> to

==Prime number== *If <math>p\ </math> is a prime number, then two integer <math>a\ </math> and <math>b\ </math>, with <math>a + b =

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If ''p'' is a [[prime number]] then ''p'' divides <math>\tbinom{p}{k}</math> for every <math>1<k<p\ </ma

== Thanks for your input to the prime number article. == Thanks for your input on the [[prime number]] article. Many of the math articles need to be explained more clearly to

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The '''''p''''' '''-adic''' metric, with respect to a given [[prime number]] ''p'', on the field '''Q''' of [[rational number]]s is a [[metric space|m

I started this article from material taken from [[Prime number]]. Some of what's currently in this article should probably go instead in a Perhaps the page name should be "Prime number theorem" rather than "Prime Number Theorem". --[[User:Catherine Woodgold|Catherine Woodgold]] 21:07, 30 April

...ses prime factorizations. Consider the factorizations of 63 and 77 into [[prime number]]s: