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literka 2013-06-01 12:42

Bertrand's Theorem for Arithmetic Progression
 
Recently I have proved the following theorem:

Let n>1. In the interval [n+1,4n+1] there is a prime number of the form 4k+1.

I already uploaded the proof. It is on the page of Literka [URL="http://www.literka.addr.com/mathcountry/numth/primes.htm"]http://www.literka.addr.com/mathcountry/numth/primes.htm[/URL]

Some time ago I asked about this theorem on this forum. Silverman suggested computation but I don't think this would give small constant as I achieved now.


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