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math.NT2017
Revisiting Generalized Bertand's Postulate and Prime Gaps
Madhuparna Das, Goutam Paul
It is a well-known fact that for any natural number , there always exists a prime in . Our aim in this note is to generalize this result to . A lower as well a…
math.NT2009★ 3 cited
Some Conjectures on the Number of Primes in Certain Intervals
Adway Mitra, Goutam Paul, Ushnish Sarkar
In this paper, we make some conjectures on prime numbers that are sharper than those found in the current literature. First we describe our studies on Legendre's Conjecture which i…