Go: package main

import (
	"bufio"
	"fmt"
	"math"
	"os"
	"strconv"
)

var sc = bufio.NewScanner(os.Stdin)

func main() {
	num := make([]bool, 1000000)

	for sc.Scan() {
		var nmpr int

		n, _ := strconv.Atoi(sc.Text())

		lmt := int(math.Sqrt(float64(n)))

		for i := 2; i <= lmt; i++ {
			for j := 2; i*j <= n; j++ {
				if !num[i*j] {
					num[i*j] = true
				}
			}
		}

		for t := 2; t <= n; t++ {
			if !num[t] {
				nmpr++
			}
		}

		fmt.Println(nmpr)
	}

}

Python: # PrimeNumber

from itertools import product
import math

if __name__ == "__main__":
    while True:
        try:
            n = int(input())
            nlist = []
            nlist2 = []
            plist = []

            for i in range(2, n + 1):
                nlist.append(i)  # [2,3,4,5,6,...,n]

            while True:
                #print(nlist, " ", math.sqrt(n))
                if nlist[0] > math.sqrt(n):  # 終了条件
                    #plist.append(map(int,nlist))
                    plist.extend(nlist)
                    break;
                else:
                    plist.append(nlist[0])

                    #i = 0
                    for j in nlist:
                        if j % nlist[0] != 0:
                            #nlist.pop(i)
                            #nlist.remove(j)
                            nlist2.append(j)
                        #i += 1
                    nlist = nlist2
                    nlist2 = []
            #print("fin: {}".format(plist))
            print(len(plist))

        except EOFError:
            break  # escape from while loop

pass
#

Python: import sys,random

rand = random.randint

def prime(n):
	if n == 2:
		return True
	if n < 2 or n & 1 == 0:
		return False
	d = (n-1) >> 1
	while d & 1 == 0:
		d >>= 1
	
	for i in range(5):
		a = rand(1,n-1)
		t = d
		y = pow(a,t,n)
		while t != n-1 and y != 1 and y != n-1:
			y = pow(y,2,n)
			t <<= 1
		if y != n-1 and t & 1 == 0:
			return False
	return True

a = [prime(i) for i in range(1000000)]

for s in sys.stdin:
	i = int(s)
	print(a[:i+1].count(True))

Python: import sys
import math

def isPrime(n):
    if n < 2:
        return 0
    elif n == 2:
        return 1
    elif n%2 == 0:
        return 0   
    num = int(math.sqrt(n))
    for i in range(3, num+1, 2):
        if n%i == 0:
            return 0
    return 1;


while True:
    try: 
        n = input()
        if n == '': 
            break
        n = int(n)
        cnt = 0
        for i in range(2, n+1):
            cnt += isPrime(i)
        print(cnt)
    
    except EOFError:
        sys.exit()

Python: import sys
a=[1]*500000
for i in range(3,999,2):
 if a[i//2]:a[i*i//2::i]=[0]*((499999-i*i//2)//i+1)
for e in map(int,sys.stdin):print([e-1,sum(a[:(e+1)//2])][e>3])

Python: import sys

def prime_calc(n):
    if n < 2:
        return False
    else:
        i = 2
        while n > i:
            if n % i == 0:
                return False
            else:
                i += 1
    return True

def prime(n):
    cnt = 0
    for i in range(0, n+1):
        ans = prime_calc(i)
        if ans is True:
            cnt = cnt + 1
    return cnt

def main():
    l = []

    for line in sys.stdin:
        l.append(int(line))

    for line in l:
        print(prime(line))

if __name__ == "__main__":
    main()

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)
    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: import math

while True:
    try:
        c = 0
        n = int(input())
        for i in range(n,1,-1):
            if i == 2:
                c += 1
                break
            elif i%2 == 0:
                continue
            else:
                j = 3
                while j <= math.sqrt(i):
                    if i%j == 0:
                        break
                    j += 2
                else:
                    c += 1
        print(c)
    except:
        break

Python: import sys
import math

N = 1000000
primes = [1] * (N//2)
primes[0] = 0

for i in range(3,int(math.sqrt(N)),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 == 1:
        print(0)
    elif n == 2:
        print(1)
    else:
        print(sum(primes[0:(n+1)//2])+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: MAX = 999999
L = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997]

def is_prime(n):
  if n == 2:return True
  if n % 2 == 0:return False
  for i in range(3,int(n**0.5)+1,2):
    if n % i == 0:return False
  return True

def is_prime_2(n):
  a = int(n ** 0.5)
  for i in L:
    if i > a:return True
    if n % i == 0:return False
  return True

def prime_count(n):
  result = 0
  if n >= 2:result+=1
  for i in range(3,n+1,2):
    if is_prime_2(i):result+=1
  return result

def prime_list(n):
  result = []
  if n >= 2:result.append(2)
  for i in range(3,n+1,2):
    if is_prime(i):result.append(i)
  return result

while 1:
  print(prime_count(int(input())))

Python: prime=[2]
for i in range(3,1000000,2):
    primeq=True
    for p in prime:
        if i%p==0:
            primeq=False
            break
        if i<p*p:break
    if primeq:prime.append(i)
while True:
    try:
        n=int(input())
        ans=0
        for p in prime:
            if p>n:break
            ans+=1
        print(ans)
    except:break

Python: import itertools, functools, math, sys

def prime_stream():
    stream = itertools.count(2)
    sieve = lambda x, y: x % y != 0

    while True:
        prime = next(stream)
        stream = filter(functools.partial(sieve, y=prime), stream)
        yield prime

for line in sys.stdin:
    primes = prime_stream()
    num = int(line)
    count = 0
    for i in range(num):
        if next(primes) > num:
            break
        count += 1
    print(count)

Python: 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
while True:
    try:
        data = int(input())
    except:
        break
    print(sum(1 for i in range(data, 1, -1) if primes[i]))

Python: def sieve(n):
	p=[True]*(n+1)
	p[0]=p[1]=False
	for i in range(2,n+1,2):
		if p[i]==True:
			for j in range(i*i,n+1,i):
				p[j]=False
	return p

def solve(n):
		if n<2:return 0
		c=1
		for i in range(3,n+1,2):
			if p[i]==1:
				c+=1
		return c

p=sieve(1e6)
while True:
	try:
		n = int(input())
		print(solve(n))
	except EOFError:
		break