Search results

* If <math> p^n </math> is a power of a prime number, then

...'except for 2 itself''. Then multiples of 3, 5, 7, 11, and so on for every prime number less than or equal to the ''square root'' of ''N'', are crossed out. In thi

{{r|Prime number}}

A prime number that divides a product of two integers must divide one of the two integers.

* [[Paulo Ribenboim]]: The New Book of Prime Number Records. Springer-Verlag, 1996, ISBN 0-387-94457-5

...ed that if ''n'' is a whole number for which <math> 2^{n} - 1 </math> is [[prime number|prime]], then the number

...nly 23% of the two-digit numbers and 16% of the three-digit numbers. The [[Prime number#Locating primes|trial division method]] provides an intuitive explanation. ...the [[natural logarithm]] of <math>n</math>). The formal statement of the Prime Number Theorem is

A natural number (except 1) which has no proper divisor is called ''[[prime number|prime]]'', * If a prime number divides a product ''ab'', and it does not divide ''a'', then it divides ''b

* [[Paulo Ribenboim]]. The New Book of Prime Number Records. Springer-Verlag, 1996, ISBN 0-387-94457-5

* [[Paulo Ribenboim]]. The New Book of Prime Number Records. Springer-Verlag, 1996, ISBN 0-387-94457-5

* [[Paulo Ribenboim]], ''The New Book of Prime Number Records'' (3 ed.), Springer, 1996, ISBN 0-387-94457-5

* Similarly, a [[finite field]] of [[prime number|prime]] order has only the identity automorphism. ...> of prime power order ''q'', where <math>q = p^f</math> is a power of the prime number ''p'', has the [[Frobenius automorphism]], <math>\Phi: x \mapsto x^p</math>

...s of the module can be constructed. This is analogous to viewing as the [[prime number]]s as building blocks from which all [[whole number]]s can be assembled. L

* <math>p^n</math> and <math>2p^n</math> where ''p'' is an odd [[prime number|prime]].

*If <math>p\ </math> is a prime number, than <math>p\ </math> divides <math>L_p - 1\ </math>. The converse is fals

...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

{{r|Prime number}}

{{r|Prime number}}

{{r|Prime number}}

{{r|Prime number}}