Difference between revisions of "Prime number"
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=== Twin Primes === | === Twin Primes === | ||
− | Two primes that differ by exactly 2 are known as [[twin primes]]. The following are the smallest examples: | + | Two primes that differ by exactly 2 are known as [[twin primes]]. The following are the smallest examples:<br> |
− | 3, 5 | + | 3, 5<br> |
− | 5, 7 | + | 5, 7<br> |
− | 11, 13 | + | 11, 13<br> |
− | 17, 19 | + | 17, 19<br> |
− | 29, 31 | + | 29, 31<br> |
− | 41, 43 | + | 41, 43<br> |
Revision as of 23:35, 19 June 2006
A prime number (or simply prime) is a positive integer whose only positive divisors are 1 and itself. Note that is usually defined as being neither prime nor composite because it is its only factor among the natural numbers.
Contents
[hide]Famous Primes
Fermat Primes
Mersenne Primes
Twin Primes
Two primes that differ by exactly 2 are known as twin primes. The following are the smallest examples:
3, 5
5, 7
11, 13
17, 19
29, 31
41, 43
Advanced Definition
When the need arises to include negative divisors, a prime is defined as an integer p whose only divisors are 1, -1, p, and -p.