On the simultaneous equations $\sigma(2^a)=p^{f_1}q^{g_1}, \sigma(3^b)=p^{f_2}q^{g_2}, \sigma(5^c)=p^{f_3}q^{g_3}$

Tomohiro Yamada

On the simultaneous equations σ(2a)=pf1qg1, σ(3b)=pf2qg2, σ(5c)=pf3qg3

Abstract

We shall solve the simultaneous equations σ(2a)=pf1qg1, σ(3b)=pf2qg2, σ(5c)=pf3qg3 with p, q distinct primes.

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