The Journal of the Indian Mathematical Society

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An Application of the Selberg Sieve Method


Affiliations
1 The University of Nebraska, Lincoln 8, Neb, United States
     

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A method of approach towards the solution of the unsolved: problem concerning the existence of at least one prime between consecutive perfect squares was presented by Viggo Brun in 1920. Using an elaboration of the Sieve of Eratosthenes he was able to prove the following (p. 24).
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  • An Application of the Selberg Sieve Method

Abstract Views: 220  |  PDF Views: 0

Authors

Walter E. Mientka
The University of Nebraska, Lincoln 8, Neb, United States

Abstract


A method of approach towards the solution of the unsolved: problem concerning the existence of at least one prime between consecutive perfect squares was presented by Viggo Brun in 1920. Using an elaboration of the Sieve of Eratosthenes he was able to prove the following (p. 24).