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twins.py
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import math
def segmented_sieve(min_r, max_r):
primes = get_primes(max_r)
numbers = range(min_r,max_r+1)
p_numbers = [1 for x in numbers]
for prime in primes:
if min_r % prime == 0:
index_ = numbers.index(min_r)
else:
index_ = numbers.index(((min_r/prime)*prime)+prime)
for x in range(index_,len(numbers),prime):
if numbers[x] != prime:
p_numbers[x] = 0
prev = 0
count = 0
#print primes, numbers, p_numbers
for x in range(len(p_numbers)):
if p_numbers[x] == 1:
if min_r + x == prev + 2:
count += 1
prev = min_r + x
print count
def get_primes(num):
primes = []
for x in range(2,int(math.sqrt(num))+1):
flag = 0
for y in range(2, int(math.sqrt(x)+1)):
if x % y == 0:
flag = 1
break
if flag == 0:
primes.append(x)
return primes
def twins():
min_r, max_r = map(int,raw_input().strip().split(" "))
segmented_sieve(min_r, max_r)
twins()