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Mathematics of Computation

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On generating new amicable pairs from given amicable pairs

Author: Herman J. J. te Riele
Journal: Math. Comp. 42 (1984), 219-223
MSC: Primary 11Y11; Secondary 11-04, 11A99
MathSciNet review: 725997
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Abstract: Methods are given for constructing new amicable pairs from given amicable pairs. By applying these methods to 1575 "mother" pairs known to the author, 1782 new amicable pairs were generated, so that the average "offspring" of these mother pairs is greater than 1. By a second, much more restricted application of the methods to the 400 smallest "daughter" pairs, 88 new "granddaughter" pairs were generated.

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Keywords: Amicable pair
Article copyright: © Copyright 1984 American Mathematical Society