Generalized Siamese Primes

The odd primes, p and q, are called Siamese primes, if there exists a natural number, n, such that p = n 2 – 2 and q = n 2 + 2. Letting a be a natural number which is not a square, we present properties ofp and q, that satisfy the equations,p = n 2 – a and q = n 2 + a.

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Publication Details

Journal
International journal of mathematics and statistics invention.
Published
2025-05-01
DOI
https://doi.org/10.35629/4767-13052021
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Generalized Siamese Primes

M.Lewinter M.Lewinter, S.Reyman S.Reyman
International journal of mathematics and statistics invention.
Analytic Number Theory Research
article

Generalized Siamese Primes

M.Lewinter M.Lewinter, S.Reyman S.Reyman
article en

Abstract

The odd primes, p and q, are called Siamese primes, if there exists a natural number, n, such that p = n 2 – 2 and q = n 2 + 2. Letting a be a natural number which is not a square, we present properties ofp and q, that satisfy the equations,p = n 2 – a and q = n 2 + a.

International journal of mathematics and statistics invention.Vol. 13(5)
Openalex Percentile: Top 67%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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Generalized Siamese Primes — M.Lewinter M.Lewinter, S.Reyman S.Reyman · International journal of mathematics and statistics invention. (2025) | TGRS Research Map | TGRS