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
Purdue University
West Lafayette, IN 47907-1398
USA
Abstract:
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.
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(Concerned with sequences
A003336
A003347
A003358
A004999.)
Received January 8 2022; revised version received February 24 2022; March 6 2022.
Published in Journal of Integer Sequences,
March 6 2022.
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