Quasiamicable Pair

Let sigma(m) be the divisor function of m. Then two numbers m and n are a quasiamicable pair if


The first few are (48, 75), (140, 195), (1050, 1925), (1575, 1648), ... (OEIS A005276). Quasiamicable numbers are sometimes called betrothed numbers or reduced amicable pairs.

See also

Amicable Pair

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Beck, W. E. and Najar, R. M. "More Reduced Amicable Pairs." Fib. Quart. 15, 331-332, 1977.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.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 Web Resource.

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