Number Theory

    

An Approach to Explore the Infinite Nature of Twin Primes

Authors: Prashanth R. Rao

Abstract: Twin prime conjecture states that there are infinite number of twin primes of the form p and p+2. Remarkable progress has recently been achieved by Y. Zhang to show that infinite primes that differ by large gap (~ 70 million) exist and this gap has been further narrowed to ~600 by others. We use an elementary approach to explore any obvious constraint that could limit the infinite nature of twin primes. Using Fermat’s little theorem as a surrogate for primality we derive an equation that suggests but not prove that twin primes can be infinite.

Comments: 2 Pages.

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Submission history

[v1] 2014-10-19 23:08:56

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