Ibrahima Gueye, Polynomial Characterization of Twin Primes in Function of another Prime, BSMaSS Volume 5, The Bulletin of Society for Mathematical Services and Standards (Volume 5) https://www.scipress.com/BSMaSS.5.37 Abstract: For two millennia, the prime numbers have continued to fascinatemathematicians. Indeed, a conjecture which dates back to this period states that thenumber of twin primes is infinite. In 1949 Clement showed a theorem on twin primesIn this paper I give the proof of a polynomial characterization of twin primes usingadditive primes number theory. Keywords: Additive Primes Numbers Theory, Twin Primes