There is always a prime between n^2 and (n + 1 )^2

  • Fayez Fok Al Adeh President of the Syrian Cosmological Society P.O.Box , 13187, Damascus, Syria
Keywords: prime number, number theory

Abstract

I give an answer in the affirmative to the following unanswered question : Is there always a prime between n2 and (n + 1)2 where n is a natural number. The question represents a famous unsolved problem in Mathematics. I employ some familiar ideas in Number Theory.

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References

Apostol , Tom M . ( 1976 ) Introduction to Analytic

Number Theory , New York: Springer – Verlag.

Ribenboim , Paulo (1988 ) The Book of prime Number

Records , New York: Springer – Verlag.

Aigner ,Martin ; Ziegler, Gunter M. ( 2002 ) Proofs from

The Book , Berlin: Springer – Verlag.

Published
2015-04-03
How to Cite
Al Adeh, F. (2015). There is always a prime between n^2 and (n + 1 )^2. Journal of Progressive Research in Mathematics, 3(1), 147-151. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/90
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Articles