单词 | Giuga Number |
释义 | Giuga NumberAny Composite Number ![]() where ![]() ![]() ![]() ![]() where ![]() ![]() 244197000982499715087866346, 554079914617070801288578559178(8 factors), ... (Sloane's A007850). It is not known if there are an infinite number of Giuga numbers. All the above numbers have sum minus product equal to 1, andany Giuga number of higher order must have at least 59 factors. The smallest Odd Giuga number must have at least ninePrime factors. See also Argoh's Conjecture, Bernoulli Number, Totient Function
Borwein, D.; Borwein, J. M.; Borwein, P. B.; and Girgensohn, R. ``Giuga's Conjecture on Primality.'' Amer. Math. Monthly 103, 40-50, 1996. Sloane, N. J. A. Sequence A007850in ``The On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html. |
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