2022/05/12 by Azizul Hoque, Hoque, Azizul
Physics and Astronomy · Computer Science · Mathematics · #Advanced Mathematical Theories and Applications #Topological and Geometric Data Analysis #Analytic Number Theory Research
paper · doi:10.48550/arxiv.2205.06235
Generalized Mersenne numbers are defined as Mp,n = pn - p + 1, where p is any prime and n is any positive integer. Here, we prove that for each pair (c, p) with c≥ 1 an integer, there is at most one Mp, n of the form cx2 with a few exceptions.