A Sufficient Condition for the Primality of the Sum of Two Squares

Advances in Pure Mathematics 2026 Open access

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Authors: Han-Lin Li, Shu-Cherng Fang, Way Kuo
DOI: 10.4236/apm.2026.166022
Cited by: 1
References: 8

Abstract

The famous Fermat’s Christmas Theorem states that all Pythagorean primes can be expressed as a sum of two squares of integers. This report specifies the conditions that a ( 4k+1 )-type integer expressed in a sum of two squares becomes prime.

Fields of Study & Subjects

Mathematics and Applications Analytic Number Theory Research History and Theory of Mathematics

Publication details

Journal / source
Advances in Pure Mathematics
Publisher
Scientific Research Publishing, Inc.
Volume
16
Issue
06
Pages
412–415
Publication date
1 January 2026