Number Theory

1806 Submissions

[15] viXra:1806.0423 [pdf] submitted on 2018-06-27 07:50:08

The Simplest Proof of the Last Fermat Theorem?

Authors: Victor Sorokine
Comments: 1 Page.

The number D=A^n+B^n-C^n < 0.
Category: Number Theory

[14] viXra:1806.0422 [pdf] submitted on 2018-06-27 07:51:11

The Simplest Proof of the Last Fermat Theorem? (in Russian)

Authors: Victor Sorokine
Comments: 1 Page. Russian version

Число D=A^n+B^n-C^n < 0.
Category: Number Theory

[13] viXra:1806.0420 [pdf] replaced on 2018-07-03 11:51:45

Proof of the Last Theorem of Fermat (Russian Version)

Authors: Andrey B. Skrypnik
Comments: 5 Pages.

Here is the only possible Proof of the Last Theorem of the Fermat in the requirements of the Fermat of 1637. - The theorem is proved universally for all numbers. - The theorem is proved on the apparatus of Diofont arithmetic. - The proof takes no more than two notebook pages of handwritten text. - The proof is clear to the pupil of the school. - The real meaning of Fermat's words about the margins of the book page is revealed. The secret of the Last Theorem of Fermat is discovered!
Category: Number Theory

[12] viXra:1806.0375 [pdf] replaced on 2020-03-08 14:10:10

Proof of the Last Theorem of Fermat

Authors: Andrey B. Skrypnik
Comments: 3 Pages.

Here is the only possible Proof of the Last Theorem of the Fermat in the requirements of the Fermat of 1637. - The theorem is proved universally for all numbers. - The theorem is proved on the apparatus of Diofont arithmetic. - The proof takes no more than two notebook pages of handwritten text. - The proof is clear to the pupil of the school. - The real meaning of Fermat's words about the margins of the book page is revealed. The secret of the Last Theorem of Fermat is discovered!
Category: Number Theory

[11] viXra:1806.0353 [pdf] submitted on 2018-06-25 02:58:27

(DFC Version 1.0 11 Pages 17.06.2018) a New Conjecture on the Divisor Summatory Function Offering a Much Higher Prediction Accuracy Than Dirichlet's Divisor Problem Approach

Authors: Andrei Lucian Dragoi
Comments: 11 Pages.

This paper presents a new conjecture on the divisor summatory function (also in relation with prime numbers), offering a much higher prediction accuracy than Dirichlet's divisor problem approach. Keywords: conjecture; divisor function; divisor summatory function; prime numbers; Dirichlet's divisor problem
Category: Number Theory

[10] viXra:1806.0330 [pdf] submitted on 2018-06-22 11:08:32

Queens Puzzle (Russian Version)

Authors: Andrey B. Skrypnik
Comments: 13 Pages.

Complete solution of Queens Puzzle
Category: Number Theory

[9] viXra:1806.0272 [pdf] submitted on 2018-06-15 11:22:27

Proof of Riemann Hypothesis (Russian Version)

Authors: Andrey B. Skrypnik
Comments: 4 Pages.

Now there is a formula for calculating all primes
Category: Number Theory

[8] viXra:1806.0219 [pdf] submitted on 2018-06-19 08:57:13

Question 470: Two Integrals

Authors: Edgar Valdebenito
Comments: 2 Pages.

This note presents two integrals.
Category: Number Theory

[7] viXra:1806.0175 [pdf] submitted on 2018-06-12 09:19:38

Ami: Reconsideration of Axioms for The Real Number

Authors: Yuki Yoshino
Comments: 13 Pages.

The number 0 has no distinction between positive and negative as -0 =+0, it is a number with special properties. In this paper, we define a new concept of numbers that seems to be special, like 0, it's name is Ami.And I propose new axioms of real numbers extended by adding Ami to Hilbert 's real axiom.
Category: Number Theory

[6] viXra:1806.0095 [pdf] submitted on 2018-06-07 07:25:11

Matrix Individualism Conjectrure

Authors: Vladimir Ushakov
Comments: 1 Page.

The key problem of MIT (matrix individualism theory) is to find a way to fill a square matrix of size N by numbers 1 to N in such a way that no row or column or diagonal contains two equal numbers, diagonal here is any line in matrix with +-45% slope. This definition of diagonal (+-45%) refers only to 1-st order individualism, later I will give a clear definition of higher order matrix individualism as well
Category: Number Theory

[5] viXra:1806.0062 [pdf] submitted on 2018-06-05 08:43:10

Question 466: an Identity

Authors: Edgar Valdebenito
Comments: 2 Pages.

This note presents a nontrivial identity that involve the number pi: pi=3.1415926535...
Category: Number Theory

[4] viXra:1806.0061 [pdf] submitted on 2018-06-05 08:46:07

Question 465: Some Integrals , Lambert Function

Authors: Edgar Valdebenito
Comments: 4 Pages.

This note presents some definite integrals.
Category: Number Theory

[3] viXra:1806.0052 [pdf] submitted on 2018-06-06 02:29:12

Identities for Second Order Recurrence Sequences

Authors: Kunle Adegoke
Comments: 18 Pages.

We derive several identities for arbitrary homogeneous second order recurrence sequences with constant coefficients. The results are then applied to present a harmonized study of six well known integer sequences, namely the Fibonacci sequence, the sequence of Lucas numbers, the Jacobsthal sequence, the Jacobsthal-Lucas sequence, the Pell sequence and the Pell-Lucas sequence.
Category: Number Theory

[2] viXra:1806.0051 [pdf] submitted on 2018-06-06 02:32:45

Weighted Tribonacci sums

Authors: Kunle Adegoke
Comments: 9 Pages.

We derive various weighted summation identities, including binomial and double binomial identities, for Tribonacci numbers. Our results contain some previously known results as special cases.
Category: Number Theory

[1] viXra:1806.0022 [pdf] replaced on 2018-06-04 20:47:27

Precious Primes, a New Category of Primes that May be Used to Represent Three Different Primes: Related Conjecture and Possible Applications Such as Encoding Graphs

Authors: Prashanth R. Rao, Tirumal Rao
Comments: 2 Pages.

In this paper we define a novel kind of prime “p” with (m+n) digits whose first “m” digits represent a prime and the next “n” digits also represent a prime in just one possible way. These primes which we call as precious primes relate three different primes and therefore products of precious primes may allow representation of complex structures such as graphs.
Category: Number Theory