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Dirichlet's theorem (view source)
Revision as of 20:20, September 30, 2009
, 20:20, September 30, 2009example
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[[category:mathematics]]
[[category:mathematics]]
For example, the sequence of numbers which are one more than a multiple of 11 (1,12,23,34,45,...) is an arithmetic progression. Dirichlet's theorem states that this sequence contains infinitely many prime numbers. Equivalently, there are infinitely many values of k for which 11*k+1 is a prime number.