Maybe some of
your puzzlers can find next term (or more terms) of the sequence
A015704: 1, 312, 23760, x
x=smallest m such that
We know all
solutions of the equation phi(x)+sigma(x)=2*x (1 & all primes).
Also we know some solutions of the equations
φ(x) + σ(x) = k.x
; k=3 & 4 (please see A011774 & A011254). But we don't know
even one solution for the equations phi(x)+sigma(x)=k*x where
k>4 and I'd like to know some of them.