@article{gueye2013,
author = {Gueye, Ibrahima},
title = {Twin Prime Numbers and Diophantine Equations},
year = {2013},
month = {3},
volume = {5},
pages = {10--13},
journal = {The Bulletin of Society for Mathematical Services and Standards},
doi = {10.18052/www.scipress.com/BSMaSS.5.10},
keywords = {Diophantine Equations, Twin Primes, Wilson’s Theorem, Clement’s Theorem, Clement’s Corollary},
abstract = {For two millennia, the prime numbers have continued to fascinate mathematicians. Indeed, a conjecture which dates back to this period states that the number of twin primes is infinite. In 1949 Clement showed a theorem on twin primes. Starting from Wilson's theorem, Clement’s theorem and the corollary of Clement’s theorem [1], I came to find Diophantine equations whose solution could lead to theproof of the infinitude of twin primes.}
}