find-the-nth-prime

Given the value of n, print the n'th prime number.

Input : A single integer n. 
Output : A single number which is the n'th prime number.
Constraints : 
1 ≤ n ≤ 1000

SAMPLE INPUT
2

SAMPLE OUTPUT
3

Explanation

The first few prime numbers are:
2,3,5,7. So, the answer is 3.

Source: hackerearth | Difficulty: UNKNOWN_DIFFICULTY
Tags: Number theory


Solutions:
'''
# Read input from stdin and provide input before running code

name = raw_input('What is your name?\n')
print 'Hi, %s.' % name
'''
#print 'Hello World!'


user_ip = int(input())

list1 = [None]*user_ip
counter = 0
k = 1
newVar = None
a = False
y = 2
while list1[counter] ==None:
	for i in range(y,100*k):
		count = 0
		for j in range(1,i+1):
			if i%j == 0:
				count = count +1
		if count == 2:
			list1[counter] = i
			if not counter+1 >= len(list1) :
				counter = counter +1
		if list1[len(list1)-1]!=None:
			break
		if i == (100*k)-1:
			y = 100*k
			k = k+1
		

print(list1[counter])


import math
import sys

n=int(eval(input()))
c=0
for i in range(2,sys.maxsize):
	p=1
	for j in range(2,i-1):
		if i**2%j**2==0:
			p=0
			break
	if p==1:
		c=c+1
	if c==n:
		break
print(i)
			
		
		


import sys

def is_prime(number):
	for i in range(2, number-1):
		if(number == 2):
			return True;
		if( number %i == 0):
			return False
	return True




def primes(stop_position):
	next_num = 2
	position = 1
	while stop_position >= position:
		if is_prime(next_num) :
			yield (position, next_num)
			position+=1
		next_num = next_num + 1
	

series =  [(a, b) for a,b in primes(int(input()))]

series = series.pop()
print(series[1])




prime = [0,2, 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, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919]
n=int(input())
print(prime[n])


def isprime(k):
	j=2
	while j < k:
		if k % j == 0 :
			return False
		j=j+1
	return True

n=int(input())
count=0
i=2
while count != n :
	if isprime(i):
		count=count+1
	i=i+1
print(i-1)


Nstr = input()
N = int(Nstr)

f = [0] * 10001
f[1] = 1
n = 0
i = 1

while n < N :
	if f[i] == 1 :
		i = i + 1
		continue
	
	n = n + 1;
	j = 2 * i;
	
	while j <= 10 * N :
		f[j] = 1
		j = j + i
	
	i = i + 1

print(i - 1)


p,t = [],[True]*1000001
for i in range(2,1000001):
	if t[i]:
		p.append(i)
		for j in range(i*i,1000001,i):
			t[j] = False
n = eval(input())
print(p[n-1])


t = eval(input())
ct = 0
i = 2
while(ct != t):
	f = 0
	for j in range(1, i + 1):
		if i % j == 0:
			f = f + 1
	i = i + 1
	if f == 2:
		ct = ct + 1
print(i - 1)
	


from math import sqrt
import time
s=time.time()
num=1
pcnt=0
lmt=eval(input())
def prime(n):
	sqroot=int(sqrt(n))
	j=2
	while j<=sqroot:
		if n%j==0:
			return False
		j=j+1
	return True
 
while(1):
	num=num+1
	if prime(num):
		pcnt=pcnt+1
	if pcnt==lmt:
		print(num)
		break
 


import math


def isPrime(num):
	return all(num%i for i in range(2,int(math.sqrt(num))+1))
	
n = int(eval(input()))
num=2
while True:

	if isPrime(num) is True:
		n-=1
	if n==0:
		print(num)
		break
	num+=1
	


no = eval(input())
c = 0
for pk in range(2,7920):
	am = 0
	for qd in range(2,(pk/2)+1):
		if (pk % qd == 0):
			am = 1
			break
	if (am == 0):
		c = c + 1
		if(c == no):
			print(pk)
			break


'''
# Read input from stdin and provide input before running code

name = raw_input('What is your name?\n')
print 'Hi, %s.' % name
'''
import math

def is_prime(k):
	i = 2
	while i*i <= k: 
		if k%i == 0:
			return False
		i += 1
	return True

n = int(eval(input()))
j = 2
counter = 0
while j:
	if is_prime(j):
		counter += 1
	if counter == n:
		print(j)
		break;
	j += 1
	




n=eval(input())
count=1
for i in range(2,100000):
	j=2
	for j in range(2,i):
		if(i%j==0):
			break
	if(j==i-1):
		count+=1
	if(count==n):
		break
print(i)	

		
		


import sys
n=int(sys.stdin.readline())
count=0
i=1
k=2
while(i==1):
	for j in range(2,k):
		if(k%j==0):
			break
	else:
		count=count+1
	if count==n:
		print(k)
		i=0
	else:
		k=k+1


n=int(input())
i=2
while i:
	c=0
	for j in range(2,i+1):
		if i%j==0:
			c=c+1
		if c>=2:
			break
	if c==1:
		t=i
		n=n-1
		if n==0:
			break
	i=i+1
print(t)


# Read input from stdin and provide input before running codeni
def check_prime(x):
	for i in range(2,(x/2+1)):
	 if(x%i==0):
		  return 0
	return 1   

cnt=0
i=2
k=eval(input())
while(cnt<k):
  if(check_prime(i)==1):
		cnt=cnt+1
		ans=i
  i=i+1
print(ans)  
		 


p = [1] * 100000
p[0] = p[1] = 0
for i in range(2, 10001):
	if p[i]:
		p[2 * i : : i] = [0] * len(p[2 * i : : i])
prime = [i for i in range(2, 100000) if p[i]]

n = int(input())
print(prime[n - 1])



import sys
f = sys.stdin

MAX = 100001
P = [0]*(MAX)
def sieve():
	
	P[0] = P[1] = 1
	for i in range(2,MAX):
		if P[i] == 0:
			j = 2*i
			while j<MAX:
				P[j] = 1
				j += i

sieve()
N = int(f.readline())
for i in range(0,MAX):
	if P[i] == 0:
		N -= 1
	if N == 0:
		print(i)
		break


import math
prime = []
n = 8000
b = int(math.sqrt(n))
flag = [True]*n
i=2
j=4
prime.append(i)
while j<n:
	flag[j]= False
	j+=i

i = 3
while i<=b:
	if flag[i] == True:
		j = i*i
		prime.append(i)
		while j<n:
			flag[j]= False
			j+=i
	i+=2


for i in range(b+1,n):
	if flag[i] == True:
		prime.append(i)

n = eval(input());
print(prime[n-1])


import math
import sys

n=int(eval(input()))
c=0
for i in range(2,sys.maxsize):
	p=1
	for j in range(2,i-1):
		if i**2%j**2==0:
			p=0
			break
	if p==1:
		c=c+1
	if c==n:
		break
print(i)	
		
		


#!/usr/bin/python
n=int(eval(input()))
if(n>=1 and n<=1000):
	ck=2
	p=0
	if(n==1):
		print(2)
	elif(n==2):
		print(3)
	else:	
		for i in range(4,10000):
			for t in range(2,i-1):
				if(i%t==0):
					p=1
					break
			if(p==0):
				ck=ck+1
				if(ck==n):
					print(i)
					break
			p=0

		


#Sieve of Erathothenes
import math
def SeiveOfErathothenes(n,x):
	r=int(math.sqrt(n))
	l=["a","b"]
	for i in range(2,n+1):
		l.append("true")
	#print ;
	for i in range(2,r+1):
		if l[i]=="true":
			k=0
			for j in range(i**2,n+1):
				if j==(i**2+k*i):
					l[j]="false"
					k=k+1
	
	count=0
	for i in range(2,n+1):
		if l[i]=="true":
			count=count+1
			if count==x:
				print(i)
				break
SeiveOfErathothenes(10000,int(input()))


def sqrt(n):
	""" Efficient sqrt Algorithm """
	x = n
	y = (x + n / x) / 2
	while y < x:
		x = y
		y = (x + n / x) / 2
	return x
def isPrime(num):
		""" Primality Test Algorithm """
		if num<=1:
				return 0
		if num==2:
				return 1
		if num%2 == 0:
				return 0
		sRoot = sqrt(num*1.0)
		i=3
		while(i<=sRoot):
				if(num%i==0):
						return 0
	i+=2
		return 1
num = eval(input())
count,i = 1,3
if num == count:
	print(2)
else:
	while count != num:
		if isPrime(i) == 1:
			count += 1
		i+=2
	print(i-2)


n=eval(input())
flag,count,k,i=0,2,0,3
if n==1:
	print("2")
else:
	while(count<=n):
		k=i
		for j in range(2,i):
			if i%j==0:
				flag=1
				break
		if flag==0:
			count+=1
			i+=2
		else:
			i+=1
		flag=0
	print(k)



k = int(input())
l = 1000000
arr = [1] * l
r = []
for i in range(2, l):
	if arr[i]==1:
		r.append(i)
		j = i * 2
		while j < l:           
			arr[j] = 0
			j+= i
		   
			 
print(r[k-1])