Race between primes of the forms 4k + 1 and 4k + 3

32 · John Cook · Feb. 15, 2026, 7:42 p.m.
Summary
The blog discusses the characterization of odd primes in terms of their ability to be expressed as the sum of two squares, focusing on primes of the forms 4k + 1 and 4k + 3. Previous algorithms and a specific example are referenced to illustrate these concepts. The author is John D. Cook.