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Augmented Amicable Pair


A pair of numbers m and n such that

 sigma(m)=sigma(n)=m+n-1,

where sigma(m) is the divisor function. Beck and Najar (1977) found 11 augmented amicable pairs.


See also

Amicable Pair, Divisor Function, Quasiamicable Pair

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References

Beck, W. E. and Najar, R. M. "More Reduced Amicable Pairs." Fib. Quart. 15, 331-332, 1977.Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 59, 1994.

Referenced on Wolfram|Alpha

Augmented Amicable Pair

Cite this as:

Weisstein, Eric W. "Augmented Amicable Pair." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AugmentedAmicablePair.html

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