to x (without simple prime numbers):

N = sum(1)(p^n <= x), p prime, n>1 ?

Suggestion: N ~ sqrt(x ln x) / ((ln ln x)^(ln ln x))

Hardy's formula (1999) N ~ sqrt(x)*ln(x) is only an upper bound and not

what I am looking for.

Werner D. Sand

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to x (without simple prime numbers):

N = sum(1)(p^n <= x), p prime, n>1 ?

Suggestion: N ~ sqrt(x ln x) / ((ln ln x)^(ln ln x))

Hardy's formula (1999) N ~ sqrt(x)*ln(x) is only an upper bound and not

what I am looking for.

Werner D. Sand