TY - JOUR
T1 - Twin Prime Numbers and Diophantine Equations
AU - Gueye, Ibrahima
JF - The Bulletin of Society for Mathematical Services and Standards
VL - 5
SP - 10
EP - 13
SN - 2277-8020
PY - 2013
PB - SciPress Ltd
DO - 10.18052/www.scipress.com/BSMaSS.5.10
UR - https://www.scipress.com/BSMaSS.5.10
KW - Clement’s Corollary
KW - Clement’s Theorem
KW - Diophantine Equations
KW - Twin Primes
KW - Wilson’s Theorem
AB - 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.
ER -