the integers N, below 10000, such that the sum of their proper divisors (i.e. N excluded) equals their product.
take 12: s(1,2,3,4,6)=16; p(1,2,3,4,6)=144;
so 12 is not on the list.
(In reply to Analytic Solution
by Brian Smith)
IMHO - excellent proof!
I suggest editing the 1st sentence: either erase the word "at" or replace it by "at least".
Other than that - bravo!
Edited on October 19, 2017, 11:12 pm