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Old 2013-06-01, 12:42   #1
literka
 
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Mar 2010

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Default 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 http://www.literka.addr.com/mathcoun...mth/primes.htm

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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