3 citations · 5 across the 6 of their papers we have counts for
6 papers
Improving the error term in the sieve of Eratosthenes
Madieyna Diouf
We have devised an alternative approach to sifting integers in the sieve of Eratosthenes that helps refine the error term. Instead of eliminating all multiples of a prime number $p…
The gap between two consecutive primes satisfies
Madieyna Diouf
The following is proven using arguments that do not revolve around the Riemann Hypothesis or Sieve Theory. If is the prime and , then $g_n=O({p_…
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…
On the Distribution of Twin Primes
Madieyna Diouf
We introduce a sieve for counting twin primes up to a given range. Our method depends on a parameter and the estimation of the number of twin primes obtained as a result, is…
Prime-Generating Polynomial
Madieyna Diouf
We present a prime-generating polynomial where is a lower member of a pair of twin primes less than and the integer is such that $\: \frac {1-p}{…
On the prime counting function and the partial sum of reciprocals of odd primes
Madieyna Diouf
We present a function that tests for primality, factorizes composites and builds a closed form expression of in terms of and a weaker…