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Added SieveOfEratosthenes program #1

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Added SieveOfEratosthenes program #1

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22 changes: 22 additions & 0 deletions algorithms/dynamic_programming/SieveOfEratosthenes.py
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Original file line number Diff line number Diff line change
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def sieve_of_eratosthenes(n):

prime = [True for i in range(n+1)]
p = 2
while (p * p <= n):

if (prime[p] == True):

# Update all multiples of p
for i in range(p * 2, n+1, p):
prime[i] = False
p += 1

for p in range(2, n):
if prime[p]:
print (p),

if __name__=='__main__':
n = 30
print ("Following are the prime numbers smaller"),
print ("than or equal to", n )
sieve_of_eratosthenes(n)