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Quasiamicable Pair

A quasiamicable pair consists of two distinct positive integers m and n satisfying

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

where sigma(m) is the divisor function. The first few pairs are (48, 75), (140, 195), (1050, 1925), (1575, 1648), .... Their members, arranged in increasing order, form OEIS A005276. Quasiamicable numbers are sometimes called betrothed numbers or reduced amicable pairs.

See also

Amicable Pair

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References

Beck, W. E. and Najar, R. M. "More Reduced Amicable Pairs." Fib. Quart. 15, 331-332, 1977. https://www.fq.math.ca/Scanned/15-4/beck1.pdf.Guy, R. K. "Quasi-Amicable or Betrothed Numbers." §B5 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 59-60, 1994.Hagis, P. and Lord, G. "Quasi-Amicable Numbers." Math. Comput. 31, 608-611, 1977. https://doi.org/10.1090/S0025-5718-1977-0434939-3.Sloane, N. J. A. Sequence A005276/M5291 in "The On-Line Encyclopedia of Integer Sequences."

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Quasiamicable Pair

Cite this as:

Weisstein, Eric W. "Quasiamicable Pair." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/QuasiamicablePair.html

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