An enticing study of prime numbers of the shape 𝑝=𝑥^2+𝑦^2

Xiaona Zhou, CUNY New York City College of Technology

This poster was presented at the 31st Semi-Annual Honors and Undergraduate Research Scholars Poster Presentation at New York City College of Technology, Dec. 4, 2019. Mentor: Professor Satyanand Singh (Mathematics).

Abstract

We will study and prove important results on primes of the shape 𝑥²+𝑦²using 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