Which integers are representable as the product of the sum of three integers with the sum of their reciprocals?

Bremner, Andrew; Guy, Richard K.; Nowakowski, Richard J.

doi:10.1090/S0025-5718-1993-1189516-5

Which integers are representable as the product of the sum of three integers with the sum of their reciprocals?
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by Andrew Bremner, Richard K. Guy and Richard J. Nowakowski PDF

Math. Comp. 61 (1993), 117-130 Request permission

Abstract:

For example, the integer 564 is so representable by the three integers 122 44200 50100028778116351171 17995213613513491867, -3460 69586 84255 04865 64589 22621 88752 08971 30654 24460 and 74807 1910153025 27837945836017146464 94820 59055 28060.

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