On the equation ,

pseudoperfect numbers,

and perfectly weighted graphs

Authors:
William Butske, Lynda M. Jaje and Daniel R. Mayernik

Journal:
Math. Comp. **69** (2000), 407-420

MSC (1991):
Primary 11D68; Secondary 11Y50, 05C50

DOI:
https://doi.org/10.1090/S0025-5718-99-01088-1

Published electronically:
August 19, 1999

MathSciNet review:
1648363

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We present all solutions to the equation with at most eight primes, improve the bound on the nonsolvability of the Erdös-Moser equation , and discuss the computational search techniques used to generate examples of perfectly weighted graphs.

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Additional Information

**William Butske**

Affiliation:
Department of Mathematics, Wayne State University, 1150 FAB, Detroit, Michigan 48202

Address at time of publication:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47906

Email:
butske@math.purdue.edu

**Lynda M. Jaje**

Affiliation:
Department of Mathematics, Wayne State University, 1150 FAB, Detroit, Michigan 48202

Address at time of publication:
EDS Office Centre, Mailstop 2061, 300 E. Big Beaver Road, Troy, Michigan 48083

Email:
lynda.jaje@eds.com

**Daniel R. Mayernik**

Affiliation:
Department of Mathematics, Wayne State University, 1150 FAB, Detroit, Michigan 48202

Email:
mayernik@math.wayne.edu

DOI:
https://doi.org/10.1090/S0025-5718-99-01088-1

Received by editor(s):
June 19, 1996

Received by editor(s) in revised form:
March 17, 1998

Published electronically:
August 19, 1999

Article copyright:
© Copyright 1999
American Mathematical Society