We will study and prove important results on primes of the shape 𝑥2 + 𝑦2 using number theoretic techniques. Our analysis involves maps, actions over sets, fixed points and involutions. This presentation is readily accessible to an advanced undergraduate student and lay the groundwork for future studies.
Zhou, Xiaona, "An enticing study of prime numbers of the shape 𝑝 = 𝑥^2 + 𝑦^2" (2020). CUNY Academic Works.