Go: package main

import (
        "fmt"
)

const MAX int = 1000000
var primes [MAX]int

func main() {
        Init()
        var n, cnt int
        for {
                _, err := fmt.Scanf("%d", &n)
                if err != nil {
                        break
                }
                cnt = 0
                for i := 2; i <= n; i++ {
                        cnt += primes[i]
                }
                fmt.Printf("%d\n", cnt)
        }
}

func Init() {
        for i := 0; i < MAX; i++ {
                primes[i] = 1
        }
        primes[0] = 0
        primes[1] = 0
        Soe()
}

func Soe() {
        for i := 2; i < MAX; i++ {
                if primes[i] > 0 {
                        for j := i*2; j < MAX; j+=i {
                                primes[j] = 0
                        }
                }
        }
}

Python: is_prime=[True for i in range(1000000+1)]
is_prime[0]=is_prime[1]=False
for i in range(2,1000):
	if not is_prime[i]:
		continue
	for j in range(2,int(1000000/i)+1):
		is_prime[i*j]=False
cnt=0
primepi=[0 for i in range(1000000)]
for i in range(1000000):
	if is_prime[i]:
		cnt+=1
	primepi[i]=cnt

while True:
	try:
		n = int(input())
	except EOFError:
		break
	print(primepi[n])

Python: import sys
m=10**6;a=[1]*m;a[0:2]=0,0
for i in range(2,999):
 if a[i]>0:
  for j in range(i*2,m,i):a[j]=0
for i in range(m):a[i]+=a[i-1]
for e in sys.stdin:print(a[int(e)])

Python: import sys

l = [True] * 100000
for i in range(2, 100000):
    if (l[i - 1]):
        for j in range(i ** 2 - 1, 100000, i):
            l[j] = False
for n in sys.stdin:
    print(l[1:int(n)].count(True))

Python: import math

def is_prime_num(in_num):
    cnt = 0
    if in_num == 2:
        return True
    elif in_num <= 1:
        return False
    elif in_num % 2 == 0:
        return False
    else:
        max_num = int(math.sqrt(in_num)+1)
        for j in range(3, max_num, 2):
            if in_num % j == 0:
                cnt = cnt + 1
                break
                    
        if cnt == 0:
            #?´???°
            return True
        else:
            return False

while True:
    try:
        n = int(input())
        prime_cnt = 0

        for i in range(2, n+1):
            if is_prime_num(i):
                #?´???°
                prime_cnt = prime_cnt + 1
                

        print(str(prime_cnt))
    except:
        break

Python: import math

m=999999
l=[False]*m
l[1]=True
for i in range(3,m+1):
    if i%2==0:continue
    for e in range(2,int(math.sqrt(i)+1)):
        if i%e==0:
            break
    else:
        l[i-1]=True
    
while True:
    try:n=int(input())
    except:break
    print(len([i for i in l[:n:] if i]))

Python: import math


def sieve_of_erastosthenes(num):
    input_list = [False if i % 2 == 0 or i % 3 == 0 or i % 5 == 0 else True for i in range(num)]
    input_list[0] = input_list[1] = False
    input_list[2] = input_list[3] = input_list[5] = True
    sqrt = math.sqrt(num)

    for serial in range(3, num, 2):
        
        if serial >= sqrt:
            # print([i for i, b in enumerate(input_list) if b == True])
            return sum(input_list)

        for s in range(serial ** 2, num, serial): 
            input_list[s] = False


if __name__ == '__main__':
    while True:
        try:
            n = int(input())
        except:
            break

        print(sieve_of_erastosthenes(n))

Python: import sys
 
 
f = [0, 1] * 500000
 
i = 3
while i <= 1000:
    if f[i] == 1:
        j = i * i
        while j <= 1000000:
            f[j] = 0
            j += i + i
    i += 2
 
f.pop(0)
f.pop(1)
 
for n in sys.stdin:
    i = int(n)
    if i < 2:
        print(0)
    else:
        print(sum(f[:i - 1]))

Python: import sys
a=[1]*500000
for i in range(3,999,2):
 if a[i//2]:a[i*i//2::i]=[0]*len(a[i*i//2::i])
for e in map(int,sys.stdin):print([e-1,sum(a[:(e+1)//2])][e>3])

Python: import math
import sys

a = [1]*1000000
a[0] = a[1] = 0

for i in range(2,int(math.sqrt(1000000))):
    if a[i] == 1:
        for j in range(i+i,1000000,i):
            a[j] = 0

for i in range(1,1000000):
    a[i] += a[i-1]
    
for line in sys.stdin:
    print(a[int(input())])

Python: import sys
a=[0,0]+[1]*10**6
for i in range(999):
 if a[i]:a[i*2::i]=[0 for j in a[i*2::i]]
for e in sys.stdin:print(int(e)-len([i for i in a[:int(e)+1]if i]))

Python: import numpy

def get_input():
    while True:
        try:
            yield ''.join(input())
        except EOFError:
            break

def primesfrom3to(n):
    sieve = numpy.ones(int(n/2), dtype=numpy.bool)
    if n%2 != 0:
        sieve = numpy.append(sieve,n/2)
    for i in range(3,int(n**0.5)+1,2):
        if sieve[int(i/2)]:
            sieve[int(i*i/2)::int(i)] = False
    return 2*numpy.nonzero(sieve)[0][1::]+1

if __name__ == "__main__":
    array = list(get_input())
    for i in range(int(len(array))):
        primeList = list(primesfrom3to(int(array[i])))
        primeList.insert(0,2)
        #print(primeList)
        print(len(primeList))

Python: 
prime=[False]*1000000
for i in range(2,1001):
    for j in range(i*2,1000000,i):
        prime[j]=True

while True:
    try:
        n=int(input())
    except:
        break
    print(prime[:n+1].count(False))

Python: primes = [2,3,5]
while True:
    try:
        n = int(input())
    except EOFError:
        break
    if n > primes[-1]:
        q = primes[-1]+2
        while q <= n:
            f = True
            for i in primes:
                if q%i == 0:
                    f = False
                    break
            if f:
                primes.append(q)
            q+=2
        print(len(primes))
    elif n == primes[-1]:
        print(len(primes))
    else:
        for i,p in enumerate(primes):
            if p > n:
                print(i+1)
                break

Python: import bisect
primes = [0, 0] + [1]*999999
for i in range(2, 1001):
    if primes[i]:
        for j in range(i*i, 1000001, i):
            primes[j] = 0

primes = list(filter(lambda x: x != 0, [(v != 0) * i for i, v in enumerate(primes)]))
while True:
    try:
        n = int(input())
    except:
        break
    print(bisect.bisect(primes, n))

Python: import sys

N = 1000000
lst = []
for i in range(2, N):
    lst.append(i)
    for j in range(2, i):
        if i % j == 0:
            lst.pop(lst.index(i))
            break

for i in sys.stdin:
    for j in range(len(lst)):
        if lst[j] <= int(i):
            print(j+1)
            break

Python: import sys


def primes(n):
    f = []
    for i in range(n + 1):
        if i > 2 and i % 2 == 0:
            f.append(0)
        else:
            f.append(1)
    i = 3
    while i * i <= n:
        if f[i] == 1:
            j = i * i
            while j <= n:
                f[j] = 0
                j += i + i
        i += 2
    return f[2:]


if __name__ == "__main__":
    ps = primes(100)
    for n in sys.stdin:
        i = int(n)
        print(i,sum(ps[:i-1]))

Python: import sys

primes = [1] * 500000
primes[0] = 0

for i in range(3, 1000, 2):
    if primes[i // 2]:
        primes[(i * i) // 2::i] = [0] * len(primes[(i * i) // 2::i])

for i in sys.stdin:
    n = int(i)
    if n < 4:
        print(n - 1)
    else:
        print(sum(primes[:(n + 1) // 2]) + 1)

Python: import sys
x = 1000000
xx = 500000
f = [1, 0] * xx
f[0] = 0
f[1] = 1
i = 3
while i < x:
    if f[i] == 1:
        j = i
        y = x // i + 1
        while j < y:
            f[j] = 0
            j += i + i
    i += 2

for n in sys.stdin:
    i = int(n)
    if i < 2:
        print(0)
    else:
        print(sum(f[:i]))

Python: import sys
lines = sys.stdin.readlines()
for line in lines:
    a = int(line)
    b = [False, False]
    for i in range(a-1):
        b.append(True)
    for i in range(a):
        if(b[i]):
            k = i
            while(k <= a-i):
                k += i
                b[k] = False
    cnt = 0
    for i in b:
        if(i):
            cnt += 1
    print(cnt)