Jamel Ghanouchi, A Proof of the Legendre and Goldbach Conjectures via a Generalization of the Concept of Prime Number, IFSL Volume 2, International Frontier Science Letters (Volume 2)
https://www.scipress.com/IFSL.2.24
Abstract:
    In this paper, we generalize the concept of prime number and define new primes. It allows to apply the new concept to the Legendre and Goldbach conjectures and to prove them.
Keywords:
    Conjecture, Goldbach, Legendre, Primes, Proof