PRIMALITY OF A CERTAIN CLASS OF INTEGERS
Lynn S. Mohler · 1965
Abstract : This report is concerned with determining the primeness of the members of a class of numbers of the form, B sub p = 2 to the pth power + 1/3, where p is an odd prime. This class is similar to the Mersenne and Fermat numbers. A theorem is proven which characterizes the factors of B sub p. This study was conducted using BRLESC, the high-speed digital computer at BRL and a description is given of the program used. Finally, the B sub p's that were found to be prime as well as the B sub p's that were found to be composite are tabulated.