Difference between revisions of "Twin prime"
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| − | '''Twin primes''' are | + | '''Twin primes''' are pairs of [[prime number]]s of the form <math>p</math> and <math>p+2</math>. The first few pairs of twin primes are <math>(3, 5), (5, 7), (11, 13), (17, 19), (29, 31)</math>, and so on. Just as with the primes themselves, twin primes become more and more sparse as one looks at larger and larger numbers. |
== Twin Prime Conjecture == | == Twin Prime Conjecture == | ||
{{main|Twin Prime Conjecture}} | {{main|Twin Prime Conjecture}} | ||
| − | The statement that there are infinitely many pairs of twin primes is known as the [[Twin Prime Conjecture]] | + | The statement that there are infinitely many pairs of twin primes is known as the [[Twin Prime Conjecture]]. It is not known whether this statement is true. |
{{stub}} | {{stub}} | ||
[[Category:Definition]] | [[Category:Definition]] | ||
[[Category:Number Theory]] | [[Category:Number Theory]] | ||
Revision as of 12:12, 22 April 2008
Twin primes are pairs of prime numbers of the form 
and 
. The first few pairs of twin primes are 
, and so on. Just as with the primes themselves, twin primes become more and more sparse as one looks at larger and larger numbers.
Twin Prime Conjecture
- Main article: Twin Prime Conjecture
The statement that there are infinitely many pairs of twin primes is known as the Twin Prime Conjecture. It is not known whether this statement is true.
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