#### 16 Citations

Optimal limits for π ( n ) using Zagier ’ s method

- 2016

Zagier [4] showed using elementary methods that π(n), the number of primes less than or equal to n, can be bounded by 2 3 n logn < π(n) < 1.7 n logn . His proof, which used strong induction and… Expand

Accurate and Infinite Prime Prediction from Novel Quasi-Prime Analytical Methodology

- Mathematics
- 2019

It is known that prime numbers occupy specific geometrical patterns or moduli when numbers from one to infinity are distributed around polygons having sides that are integer multiple of number 6. In… Expand

Dynamic Processes of Formation Classes of Prime Numbers in a Probabilistic Model of Mathematical Computer Proof of the Generalized Artin Hypothesis

- Mathematics
- 2019 XIth International Scientific and Practical Conference on Electronics and Information Technologies (ELIT)
- 2019

The analysis of the probabilistic approach to solving the problem of the distribution of primes in the generalized Artin's hypothesis is given. The foundations of a computer approach to solving… Expand

Defining the prime numbers prior to the integers: A first-principles approach to the distribution of primes

- Mathematics
- 2018

While the prime numbers have been subject to mathematical inquiry since the ancient Greeks, the accumulated effort of understanding these numbers has - as Marcus du Sautoy recently phrased it - 'not… Expand

Matrix model for Riemann zeta via its local factors

- Physics, Mathematics
- 2018

We propose the construction of an ensemble of unitary random matrices (UMM) for the Riemann zeta function. Our approach to this problem is `$p$-iecemeal', in the sense that we consider each factor in… Expand

Some heuristics on the gaps between consecutive primes

- 2018

We give a review of the rigorous results on the gaps between consecutive primes. Next we present heuristic arguments leading to the formula for the number of pairs of consecutive primes pn, pn+1 < x… Expand

Infinite Number of Twin Primes

- Mathematics
- 2016

This work is devoted to the theory of prime numbers. Firstly it introduced the concept of matrix primes, which can help to generate a sequence of prime numbers. Then it proposed a number of theorems,… Expand

On the Location of the Non-Trivial Zeros of the RH via Extended Analytic Continuation

- Mathematics
- 2016

This research paper presents the results of a study on the application of extended analytic continuation to locate the non-trivial zeros of the Riemann Hypothesis.

AN INTRODUCTION TO FAST GENERATION OF LARGE PRIME NUMBERS

- Computer Science
- 2014

This study is aimed at adapting recent methods for generating large random primes such as needed in public-key cryptosystems, and an algorithm has been implemented. Expand

La lezione mancata

- 2014

Facciamo una breve panoramica dei più importanti risultati sulla distribuzione dei numeri primi. Andremo sostanzialmente in ordine cronologico presentando i risultati dei matematici più importanti… Expand