- **Math**
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- - **Bertrand's Theorem for Arithmetic Progression**
(*https://www.mersenneforum.org/showthread.php?t=18258*)

Bertrand's Theorem for Arithmetic ProgressionRecently 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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