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New amicable pairs of type $(2,2)$ and type $(3,2)$

Author: Patrick J. Costello
Journal: Math. Comp. 72 (2003), 489-497
MSC (2000): Primary 11A25
Published electronically: May 1, 2002
MathSciNet review: 1933833
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Abstract: A UBASIC computer program was developed to implement a method of te Riele for finding amicable pairs of type $(2,2)$. Hundreds of new pairs were found, including a new largest $(2,2)$ pair and several ``daughter'', ``granddaughter'', and ``great granddaughter'' pairs.

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Additional Information

Patrick J. Costello
Affiliation: Department of Mathematics and Statistics, Eastern Kentucky University, 521 Lancaster Ave., Richmond, Kentucky 40475-3102

Keywords: Amicable pair
Received by editor(s): May 24, 2000
Received by editor(s) in revised form: March 29, 2001
Published electronically: May 1, 2002
Article copyright: © Copyright 2002 American Mathematical Society