08/02/20 00:01:15
>>618
A = 122 44200 50100 02877 81163 51171 17995 21361 35134 91867 (48桁)
B = 74807 19101 53025 27837 94583 60171 46464 94820 59055 28060 (50桁)
C = 3460 69586 84255 04865 64589 22621 88752 08971 30654 24460 (49桁)
なお、因数分解すると
A = bc * 19 * 29 * 46591 * 100363979,
B = ca * 37 * 1806705194075701,
C = ab * 3 * 11 * 73 * 1543 * 4663 * 169789,
a = lcd(B,C) = 2^2 * 5 * 449 * 35869 * 516624461,
b = lcd(C,A) = 97 * 3769 * 19329352219,
c = lcd(A,B) = 7 * 79 * 239441 * 50787883,
lcd(a,b,c) =1,
らしい。
〔参考文献〕
A.Bremner, R.K.Guy and R.J.Nowakowski;
"Which integers are representable as the product of the sum of three integers with the sum of their reciprocals ?"
Math. Comput. Vol.６１, No.203, (1993 July)
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