Number Theory

1507 Submissions

[15] viXra:1507.0202 [pdf] replaced on 2015-07-29 13:06:11

The Significance Of The Non-Trivial Zeros Of The Riemann Zeta Function

Authors: Bertrand Wong
Comments: 3 Pages.

This paper expounds the role of the non-trivial zeros of the Riemann zeta function ζ and supplements the author’s earlier papers on the Riemann hypothesis. There is a lot of mystery surrounding the non-trivial zeros.
Category: Number Theory

[14] viXra:1507.0200 [pdf] replaced on 2015-12-02 13:26:42

Conjecture de Collatz (Syracuse) Démonstration

Authors: BERKOUK Mohamed
Comments: 11 Pages.

la démonstration passe par trois étapes : 1° - l’unicité du cycle trivial 2° - la décroissance de tout N du départ 3° - l’atterrissage systématique vers le cycle trivial . la démonstration de ces trois étape implique la démonstration de la conjecture de Collatz.
Category: Number Theory

[13] viXra:1507.0197 [pdf] submitted on 2015-07-27 05:09:58

A Proof of the Goldbach Conjecture

Authors: Diego Liberati
Comments: Pages.

The so called strong form is shown to derive from the recently proved so called weak form
Category: Number Theory

[12] viXra:1507.0196 [pdf] replaced on 2016-05-19 16:36:26

Conjecture de C.Goldbach - Démonstration

Authors: BERKOUK Mohamed
Comments: 10 Pages.

Ceci est une démonstration de la conjecture du C.GOLDBACH aussi bien la forte que la faible dans sa version moderne , qui repose sur le théorème de KRAFFT ,puis sur un théorème sur les nombres premiers ,que j'avais développé pour conclure sur la primalité (v.multimorielle), enfin un 3° théorème qui annonce la propriété de la parité de la somme et le produit de tout entier naturel . La démonstration de la réciproque nous a conduite par une analyse logique, tout droit à celles des deux conjectures.
Category: Number Theory

[11] viXra:1507.0188 [pdf] submitted on 2015-07-25 05:10:50

The Levy_ Bertrand_ Goldbach Proof

Authors: Maik Becker-Sievert
Comments: 1 Page.

Proofed Bertrands Postulate Goldbach´s Ternär and Binär Conjecture Levy´s Conjecture
Category: Number Theory

[10] viXra:1507.0176 [pdf] submitted on 2015-07-23 10:38:51

Real Multiplication Nature and Its Scaling Factors

Authors: Andrea Pignataro
Comments: 7 Pages.

The goal of this paper is to explain that the real nature of the multiplication operation is based on its scaling factors and why is a common mistake to understand the multiplication as a repeated addition.
Category: Number Theory

[9] viXra:1507.0171 [pdf] replaced on 2015-07-24 07:22:01

An Elementary Proof Of Fermat's Last Theorem

Authors: Bezaliel Anotida Joshua
Comments: 5 Pages. Submitted to a formal journal for peer-review.

In this note, we provide an elementary proof of Fermat's Last Theorem.
Category: Number Theory

[8] viXra:1507.0150 [pdf] submitted on 2015-07-20 04:45:42

A Partial Proof of Carmichael Conjecture

Authors: Neelah Deka
Comments: 4 Pages.

In this note,we shall give a partial proof of carmichael conjecture
Category: Number Theory

[7] viXra:1507.0140 [pdf] submitted on 2015-07-18 04:51:43

On the Existence of at Least One Prime Number Between 5n and 6n.

Authors: Irsen Virnoy
Comments: 3 Pages.

One of the still unsolved conjectures related to prime numbers states that for all integers n>k>1 there exists at least one prime number in the interval [kn; (k+1)n]. The case k = 1 is called Bertrand's postulate, which was proved Chebyshev in the year 1850. M. El Bachraoui proved the case k = 2 in 2006, and the case k = 2 was proved by Andy Loo in 2011. This paper gives the proof for the case when k = 5.
Category: Number Theory

[6] viXra:1507.0100 [pdf] submitted on 2015-07-14 12:28:24

Disproof the Four Counterexamples for Beal's Conjecture

Authors: Valdir Monteiro dos Santos Godoi
Comments: 1 Page. Published in Bulletin of Mathematical Sciences and Applications, Vol. 13, pp. 13-13, Oct. 2015.

Probably by mistake, was published a paper which intended give some counterexamples of the Beal’s conjecture. The four examples in that paper are wrong.
Category: Number Theory

[5] viXra:1507.0091 [pdf] submitted on 2015-07-14 03:19:52

A New Conjecture on Prime Numbers

Authors: Neelabh Deka
Comments: 1 Page. A new conjecture on prime numbers is proposed in this short note.

A new conjecture on prime numbers is proposed in this short note.
Category: Number Theory

[4] viXra:1507.0033 [pdf] replaced on 2016-10-09 10:13:13

(pk mk qk) or an Unexpected Simplicity

Authors: Ralf Wüsthofen
Comments: 1 Page. Full version under 1403.0083

This note presents a short arithmetic view of a detailed proof of the strong Goldbach conjecture and of an even strengthened form of it.
Category: Number Theory

[3] viXra:1507.0021 [pdf] submitted on 2015-07-03 07:04:05

La Conjecture de Polignac-Démo.docx

Authors: BERKOUK mohamed
Comments: 1 Page.

démonstration résumée , sans détailler les théorèmes de WARING ,EUCLIDE et le théorème des nombres premiers (TNP) que j'ai utilisé pour asseoir les jalons d'une démonstration de La conjecture de POLIGNAC.
Category: Number Theory

[2] viXra:1507.0004 [pdf] replaced on 2015-07-02 09:36:07

A Proof of the Riemann Hypothesis

Authors: Diego Liberati
Comments: Pages.

Taking into account infinitesimal and iperreal concepts from Robinsons' non standard analysis the proof in the previous versions has been made more general
Category: Number Theory

[1] viXra:1507.0001 [pdf] replaced on 2015-09-04 01:23:52

There Are Infinitely Many Sextuplets of Primes

Authors: Diego Liberati
Comments: 1 Page.

A proof of the conjecture is offered, also implying that: - there are infinitely many prime quadruplets - there are infinitely many twin primes - Polignac conjecture is true for n=2 and for n=4
Category: Number Theory