Madieyna Diouf

activity

20172020

most citedPrime-Generating Polynomial

3 citations · 3 across the 1 of their papers we have counts for

collaborators

3 papers

math.NT2020

The gap $g_{n}$ between two consecutive primes satisfies $g_{n} = O (p_{n}^{2/3})$

Madieyna Diouf

The following is proven using arguments that do not revolve around the Riemann Hypothesis or Sieve Theory. If $p_{n}$ is the $n^{th}$ prime and $g_{n} = p_{n + 1} - p_{n}$ , then $g_n=O({p_…

math.GM2018

A conditional proof of Legendre's Conjecture and Andrica's conjecture

Madieyna Diouf

The Legendre conjecture has resisted analysis over a century, even under assumption of the Riemann Hypothesis. We present, a significant improvement on previous results by greatly…

math.GM2017★ 3 cited

Prime-Generating Polynomial

Madieyna Diouf

We present a prime-generating polynomial $(1 + 2 n) (p - 2 n) + 2$ where $p > 2$ is a lower member of a pair of twin primes less than $41$ and the integer $n$ is such that $\: \frac {1-p}{…

The gap gn​ between two consecutive primes satisfies gn​=O(pn​2/3)

A conditional proof of Legendre's Conjecture and Andrica's conjecture

Prime-Generating Polynomial

The gap $g_{n}$ between two consecutive primes satisfies $g_{n} = O (p_{n}^{2/3})$