Prashanth R. Rao

[21] viXra:1709.0109 submitted on 2017-09-10 05:11:19, (21 unique-IP downloads)

A Special Hexagon with Two-Fold Symmetry Must Have an Inscribed Square Satisfying the Toeplitz Conjecture

Authors: Prashanth R. Rao
Category: Geometry

[20] viXra:1709.0026 submitted on 2017-09-02 14:50:05, (21 unique-IP downloads)

Solution for a Special Case of the Toeplitz Conjecture

Authors: Prashanth R. Rao
Category: Geometry

[19] viXra:1708.0236 submitted on 2017-08-19 17:45:13, (14 unique-IP downloads)

Property of a Curve Connecting Any Two Points in Space that Are at Different Differences from a Third Point

Authors: Prashanth R. Rao
Category: Geometry

[18] viXra:1708.0229 submitted on 2017-08-19 12:49:36, (9 unique-IP downloads)

Regarding Three Points in a Plane Such that Two Points Are Non-Equidistant from the Third Point and a Predicted Property of Any Curve in that Plane Connecting the Two Non-Equidistant Points

Authors: Prashanth R. Rao
Category: Geometry

[17] viXra:1612.0387 submitted on 2016-12-28 20:35:01, (23 unique-IP downloads)

Every Even Integer Greater Than Six Can be Expressed as the Sum of Two co-Prime Odd Integers Atleast One of Which is a Prime

Authors: Prashanth R. Rao
Category: Number Theory

[16] viXra:1612.0223 replaced on 2016-12-15 14:31:17, (30 unique-IP downloads)

The Suggestion that 2-Probable Primes Satisfying Even Goldbach Conjecture Are Possible

Authors: Prashanth R. Rao
Category: Number Theory

[15] viXra:1609.0025 submitted on 2016-09-02 07:36:57, (80 unique-IP downloads)

The Smallest Possible Counter-Example of the Even Goldbach Conjecture if Any, Can Lie Only Between Two Odd Numbers that Themselves Obey the Odd Goldbach Conjecture

Authors: Prashanth R. Rao
Category: Number Theory

[14] viXra:1603.0356 submitted on 2016-03-25 12:28:28, (41 unique-IP downloads)

Special Cases of Goldbach Conjecture: for Every Even Integer 2n, there Exists Infinite Integers “d” Greater Than One, Such that the Product 2nd, May be Expressed as Sum of Two Primes

Authors: Prashanth R. Rao
Category: Number Theory

[13] viXra:1603.0341 submitted on 2016-03-23 15:58:15, (33 unique-IP downloads)

A True Kurepa Conjecture Implies Dirichlet-Kurepa Primes: Two New Classes of Infinite Primes Within Arithmetic Progressions

Authors: Prashanth R. Rao
Category: Number Theory

[12] viXra:1603.0321 submitted on 2016-03-21 17:06:19, (16 unique-IP downloads)

Any Two Successive Left Factorials Can Represent Only the First and Second Terms of an Arithmetic Progression of Positive Integers

Authors: Prashanth R. Rao
Category: Number Theory

[11] viXra:1602.0343 submitted on 2016-02-27 06:48:52, (19 unique-IP downloads)

Every Large Prime Must Lie on a Diriclet’s Arithmetic Sequence and a Simple Method to Identify Such Arithmetic Progressions

Authors: Prashanth R. Rao
Category: Number Theory

[10] viXra:1601.0214 replaced on 2016-01-22 17:56:52, (30 unique-IP downloads)

Two Proofs for the Existence of Integral Solutions (A1, A2,……,an) of the Equation a1 (P1^m) + a2 (P2^m)+……+ an (Pn^m) = 0 , for Sequence of Primes P1,p2,…,pn , and Where M is a Positive Integer

Authors: Prashanth R. Rao
Category: Number Theory

[9] viXra:1601.0200 replaced on 2016-01-30 07:39:24, (37 unique-IP downloads)

Defining a Modified Adjacency Value Product Following Unique Prime Labeling of Graph Vertices and Undertaking a Small Step Toward Possible Application for Testing Graph Isomorphism

Authors: Prashanth R. Rao
Category: Combinatorics and Graph Theory

[8] viXra:1512.0222 replaced on 2015-12-09 16:10:09, (133 unique-IP downloads)

A Prime Number Based Strategy to Label Graphs and Represent Its Structure as a Single Numerical Value

Authors: Prashanth R. Rao
Category: Combinatorics and Graph Theory

[7] viXra:1505.0038 submitted on 2015-05-04 22:10:43, (50 unique-IP downloads)

A General Partition Generating Algorithm for a Positive Integer k= K1.k2.…kn

Authors: Pratish R. Rao, Prashanth R. Rao
Category: Number Theory

[6] viXra:1504.0217 submitted on 2015-04-27 23:31:53, (32 unique-IP downloads)

A Modified Circle-Cutting Strategy for Conceptualizing n! and Its Application to Derive Yet Another Well-Known Mathematical Result: the Approximate Sum of a Convergent Series Involving Factorials Equals Unity

Authors: Pratish R. Rao, Prashanth R. Rao
Category: Number Theory

[5] viXra:1503.0217 submitted on 2015-03-28 01:40:00, (38 unique-IP downloads)

An Intuitive Conceptualization of n! and Its Application to Derive a Well Known Result

Authors: Prashanth R. Rao
Category: Number Theory

[4] viXra:1503.0161 submitted on 2015-03-21 18:13:55, (35 unique-IP downloads)

A Simple Algorithm to Express Any Odd Composite Number that is a Product of K-Primes not Necessarily Distinct as a Sum of Exactly K Unequal Terms

Authors: Prashanth R. Rao
Category: Number Theory

[3] viXra:1412.0273 submitted on 2014-12-30 14:23:47, (85 unique-IP downloads)

Verification of Collatz Conjecture for a Positive Integer Px, Where P is Any Prime Number and X is an Odd Integer Derived Using Fermat’s Little Theorem Which is Specific for Each Prime

Authors: Prashanth R. Rao
Category: Number Theory

[2] viXra:1411.0579 submitted on 2014-11-27 09:52:30, (58 unique-IP downloads)

A Useful Criterion to Identify Candidate Twin Primes

Authors: Prashanth R. Rao
Category: Number Theory

[1] viXra:1410.0112 submitted on 2014-10-19 23:08:56, (55 unique-IP downloads)

An Approach to Explore the Infinite Nature of Twin Primes

Authors: Prashanth R. Rao
Category: Number Theory