Amicable numbers have a long history in magic and astrology, making love potions and talismans. As an example, some ancient Jewish commentators thought that Jacob gave his brother sheep female and 20 male when he was afraid his brother was going to kill him Genesis The philosopher Iamblichus of Chalcis ca. Pythagoras is reported to have said that a friend is "one who is the other I, such as are and There is no formula or method known to list all of the amicable numbers, but formulas for certain special types have been discovered throughout the years.
Thabit ibn Kurrah ca. Viewed 3k times. Daniel Buck 3, 1 1 gold badge 9 9 silver badges 26 26 bronze badges. NotSuper NotSuper 1, 4 4 gold badges 16 16 silver badges 15 15 bronze badges. Add a comment. Active Oldest Votes. For example, John Conway says they are not very useful mathematically: The only application or use for these numbers is the original one - you insert a pair of amicable numbers into a pair of amulets, of which you wear one yourself and give the other to your beloved!
From Dr. Matthew Conroy Matthew Conroy Mike Powell Mike Powell 21 1 1 bronze badge. Glenn Westmore Glenn Westmore 11 1 1 bronze badge. Is there a different name to denote the pair? Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Alanen, J. Battiato, S. Borho, W. Bratley, P. Cohen, H. Costello, P. Dickson, L. History of the Theory of Numbers, Vol.
New York: Dover, pp. Dubner, H. Debrecen 4 , , Escott, E. Gardner, M. New York: Vintage, pp. Guy, R. New York: Springer-Verlag, pp. Hoffman, P. New York: Hyperion, Jobling, P. Lee, E. Madachy, J. Madachy's Mathematical Recreations. Moews, D. Number Theory and Its History. Paganini, B. Atti della R. Torino 2 , , Pedersen, J. Pomerance, C. Root, S. Item 61 in Beeler, M.
Sloane, N.
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