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Original Articles

Two general constructive methods for amicable numbers

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Pages 165-175 | Received 18 Jan 1995, Published online: 19 Mar 2007

References

  • Borho , W. 1972 . On Thabit ibn Kurrah's Formula for Amicable Numbers . Mathematics of Computation , 26 ( 118 ) : 571 – 578 .
  • Borho , W. and Hoffmann , H. 1986 . Breeding Amicable Numbers in Abundance . Mathematics of Computation , 46 ( 173 ) : 281 – 293 .
  • Dickson , L.E. 1934 . History of the Theory of Numbers , Vol. I , New York : G. E. Stechert & Co . Divisibility and Primality
  • Krishnamurthy , C. 1980 . Some Sets of Amicable Numbers of Higher Order . Indian Journal of Pure and Applied Mathematics , 11 ( 12 ) : 1549 – 1553 .
  • Te Riele , H.J.J. 1983 . “ New very large amicable pairs ” . In Number Theory , Edited by: Jager , H. 210 – 215 . Noordwijkerhout . Springer Lecture Notes in Mathematics 1068, (1984)
  • Yan , S.Y. and Jackson , T.H. 1994 . A New Large Amicable Pair . Computers and Mathematics with Applications , 27 ( 6 ) : 1 – 3 .
  • Yan , S.Y. 1994 . 68 New Large Amicable pairs . Computers and Mathematics with Applications , 28 ( 5 ) : 71 – 74 .
  • Yan , S.Y. 1995 . Primality Testing of Large Numbers in Maple . Computers and Mathematics with Applications , 29 ( 12 ) : 1 – 8 .

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