Prashanth R. Rao

[27] viXra:2001.0055 submitted on 2020-01-04 12:21:58, (235 unique-IP downloads)

Analogy Inspired Biology

Authors: Prashanth R. Rao
Category: Quantitative Biology

[26] viXra:1908.0186 replaced on 2019-08-13 16:53:26, (323 unique-IP downloads)

The Prime Gaps Between Successive Primes to Ensure that there is Atleast One Prime Between Their Squares Assuming the Truth of the Riemann Hypothesis

Authors: Prashanth R. Rao
Category: Number Theory

[25] viXra:1806.0022 replaced on 2018-06-04 20:47:27, (310 unique-IP downloads)

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
Category: Number Theory

[24] viXra:1805.0377 replaced on 2018-05-26 14:50:45, (392 unique-IP downloads)

Envp, Another Prime Number Based Strategy to Encode Graphs

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

[23] viXra:1803.0242 submitted on 2018-03-16 18:19:17, (307 unique-IP downloads)

Proof of Playfair’s Axiom Hits a Roadblock

Authors: Prashanth R. Rao
Category: Geometry

[22] viXra:1802.0123 submitted on 2018-02-10 09:10:18, (187 unique-IP downloads)

Extension of Proposition 23 from Euclid’s Elements

Authors: Prashanth R. Rao
Category: Geometry

[21] viXra:1709.0109 submitted on 2017-09-10 05:11:19, (205 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, (318 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, (200 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, (160 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, (197 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, (278 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, (870 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, (174 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, (176 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, (149 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, (127 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, (238 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, (465 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, (644 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, (199 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, (177 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, (174 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, (199 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, (261 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, (216 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, (198 unique-IP downloads)

An Approach to Explore the Infinite Nature of Twin Primes

Authors: Prashanth R. Rao
Category: Number Theory