PrimePi.sagews

'Hit Shift and Enter to Evaluate'

'Hit Shift and Enter to Evaluate'

prime_pi(10)

4

prime_pi(100)

25

for n in [1..7]:
    10^n, prime_pi(10^n)

(10, 4) (100, 25) (1000, 168) (10000, 1229) (100000, 9592) (1000000, 78498) (10000000, 664579)

for n in [1..7]:
    10^n, 10.0^n/ln(10.0^n)

(10, 4.34294481903252) (100, 21.7147240951626) (1000, 144.764827301084) (10000, 1085.73620475813) (100000, 8685.88963806504) (1000000, 72382.4136505420) (10000000, 620420.688433217)