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On The Sum Of Reciprocals Of Amicable Numbers, Jonathan Bayless, Dominic Klyve
On The Sum Of Reciprocals Of Amicable Numbers, Jonathan Bayless, Dominic Klyve
Mathematics Faculty Scholarship
Two numbers m and n are considered amicable if the sum of their proper divisors,
s(n) and s(m), satisfy s(n) = m and s(m) = n. In 1981, Pomerance showed that
the sum of the reciprocals of all such numbers, P, is a constant. We obtain both a
lower and an upper bound on the value of P.