ScholarLens Back to search
2014•Unpublished venueRequires access

Proofs of Polignac Prime Conjecture, Goldbach Conjecture, Twin Prime Conjecture, Cousin Prime Conjecture, and Sexy Prime Conjecture

Stephen Marshall

Open publisher page 0 citations

Abstract

This paper presents a complete and exhaustive proof of the Polignac Prime Conjecture. The approach to this proof uses same logic that Euclid used to prove there are an infinite number of prime numbers. Then we prove that if p> 1 and d> 0 are integers, that p and p + d are both primes if and only if for integer n (see reference 1 and 2):

About this research paper

What this paper is about

This paper presents a complete and exhaustive proof of the Polignac Prime Conjecture. The approach to this proof uses same logic that Euclid used to prove there are an infinite number of prime numbers. Then we prove that if p> 1 and d> 0 are integers, that p and p + d are both primes if and only if for integer n (see reference 1 and 2):

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

This paper presents a complete and exhaustive proof of the Polignac Prime Conjecture. The approach to this proof uses same logic that Euclid used to prove there are an infinite number of prime numbers. Then we prove that if p> 1 and d> 0 are integers, that p and p + d are both primes if and only if for integer n (see reference 1 and 2):

Key concepts: Twin prime, Goldbach's conjecture, abc conjecture, Conjecture, Mathematics, Mathematical proof, Combinatorics, Prime (order theory)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Proofs of Polignac Prime Conjecture, Goldbach Conjecture, Twin Prime Conjecture, Cousin Prime Conjecture, and Sexy Prime Conjecture — Research Paper | ScholarLens