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单词 Quasiamicable Pair
释义

Quasiamicable Pair

Let be the Divisor Function of . Then two numbers and are a quasiamicable pair if


The first few are (48, 75), (140, 195), (1050, 1575), (1648, 1925), ... (Sloane's A005276). Quasiamicable numbers are sometimes called Betrothed Numbers or Reduced Amicable Pairs.

See also Amicable Pair


References

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. SequenceA005276/M5291in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.


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