On divisibility by nine of the sums of even amicable pairs
Author:
Elvin Lee
Journal:
Math. Comp. 23 (1969), 545548
MSC:
Primary 10.07
MathSciNet review:
0248074
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Abstract: Most known even amicable pairs have sums divisible by nine [9]. The general form of the exceptions to the rule of divisibility by nine (Gardner's rule) is deduced and the results expressed in the form of a theorem. A computer search based on a corollary to the theorem is described and six new exceptions to Gardner's rule are found.
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DOI:
http://dx.doi.org/10.1090/S00255718196902480746
PII:
S 00255718(1969)02480746
Article copyright:
© Copyright 1969 American Mathematical Society
