Equal Sums of Two Distinct Like Powers
Samuel S. Wagstaff, Jr.
Center for Education and Research in Information Assurance and Security,
and Department of Computer Sciences
West Lafayette, IN 47907-1398
We study the equation aj +
bj = ck +
dk for positive
integers a, b, c, d, and 2 < j < k. Two
heuristic arguments correctly predict the cases in which the equation
has primitive solutions.
Full version: pdf,
(Concerned with sequences
Received January 8 2022; revised version received February 24 2022; March 6 2022.
Published in Journal of Integer Sequences,
March 6 2022.
Journal of Integer Sequences home page