An explicit upper bound for the first $k$-Ramanujan prime

Abstract

In this paper we establish an explicit upper bound for the first $k$-Ramanujan prime $R_1^{(k)}$ by using a recent result concerning the existence of prime numbers in small intervals.

4 pages

References in corpus (2)

• Estimates of Some Functions Over Primes without R.H.
• Updating the error term in the prime number theorem