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

Fayez Fok Al Adeh

Abstract


I give an answer in the affirmative to the following unanswered question : Is there always a prime between n^2 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


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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.


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