Pham Minh Duc

Some Consequences of Bertrand's Extended Postulate

Pham Minh Duc · Journal of Advances in Mathematics and Computer Science · 2023

Bertrand's postulate establishes that for all positive integers n > 1 there exists a prime number between n and 2n. We consider a generalization of this theorem as: for integers n ≥ k ≥ 2 is there a prime number between kn and (k + 1)n? This is a generalization of Bertrand's p...