ISSN: 2995-5823

Volume 9, Number 3 (2024)

Year Launched: 2016

Journal Menu

■ About The Journal

■ Aims & Scope

■ Editorial Board

■ Article Processing Charge

■ Archive

Previous Issues

■ Volume 9, Number 5 (2024)

■ Volume 9, Number 4 (2024)

■ Volume 9, Number 3 (2024)

■ Volume 9, Number 2 (2024)

■ Volume 9, Number 1 (2024)

■ Volume 8, Number 5 (2023)

■ Volume 8, Number 4 (2023)

■ Volume 8, Number 3 (2023)

■ Volume 8, Number 2 (2023)

■ Volume 8, Number 1 (2023)

■ Volume 7, Number 6 (2022)

■ Volume 7, Number 5 (2022)

■ Volume 7, Number 4 (2022)

■ Volume 7, Number 3 (2022)

■ Volume 7, Number 2 (2022)

■ Volume 7, Number 1 (2022)

■ Volume 6, Number 6 (2021)

■ Volume 6, Number 5 (2021)

■ Volume 6, Number 4 (2021)

■ Volume 6, Number 3 (2021)

■ Volume 6, Number 2 (2021)

■ Volume 6, Number 1 (2021)

■ Volume 5, Number 5 (2020)

■ Volume 5, Number 4 (2020)

■ Volume 5, Number 3 (2020)

■ Volume 5, Number 2 (2020)

■ Volume 5, Number 1 (2020)

■ Volume 4, Number 6 (2019)

■ Volume 4, Number 5 (2019)

■ Volume 4, Number 4 (2019)

■ Volume 4, Number 3 (2019)

■ Volume 4, Number 2 (2019)

■ Volume 4, Number 1 (2019)

■ Volume 3, Number 3 (2018)

■ Volume 3, Number 2 (2018)

■ Volume 3, Number 1 (2018)

■ Volume 2, Number 3 (2017)

■ Volume 2, Number 2 (2017)

■ Volume 2, Number 1 (2017)

■ Volume 1, Number 2 (2016)

■ Volume 1, Number 1 (2016)

On Randomness

Volume 9, Issue 3, June 2024 | PP. 74-83 | PDF (1311 K) | Pub. Date: June 16, 2024
DOI: 10.54647/mathematics110488 53 Downloads 4549 Views

Author(s)

C.J. Mozzochi, P.O. Box 1424,Princeton, NJ 08542 U.S.A.

Abstract
Using a primitive formulation of the circle method together with a random number generator , which is based on the naive notion of randomness, we prove there exists an infinite number of twin primes. Then we show that a deduction, crucial to the proof, which is immediately implied by , is false.

Keywords
Goldbach Conjecture; Twin Primes Conjecture; circle method; generalized Riemann Hypothesis

Cite this paper
C.J. Mozzochi, On Randomness , SCIREA Journal of Mathematics. Volume 9, Issue 3, June 2024 | PP. 74-83. 10.54647/mathematics110488

References

[ 1 ]	T. Estermann, Introduction to Modern Prime Number Theory, London/New York: Cambridge University Press, 1961.
[ 2 ]	G.H. Hardy and E.M. Wright, An Introduction to the Theory of Numbers, London/New York: Oxford University Press, 1965.