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Sieve of Eratosthenes implemented in python #40

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Sieve of Eratosthenes implemented in python #40

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35 changes: 35 additions & 0 deletions allalgorithms/numeric/sieve_of_eratosthenes.py
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# Numeric Algorithms
# Contributed by: JordaoA

#Sieve of Eratosthenes implemented in python

def cieve(rangeOfPrimes):
try:
rangeOfPrimes = int(rangeOfPrimes)
primes = []

if rangeOfPrimes < 2:
return("invalid Range :(")

elif rangeOfPrimes == 2:
primes.append(2)
return(primes)

else:
cieve = [True] * rangeOfPrimes
cieve[0] = False
cieve[1] = False

for i in range(2,rangeOfPrimes):
if cieve[i]:
for j in range(i*2,rangeOfPrimes,i):
cieve[j] = False

for i in range(rangeOfPrimes):
if cieve[i]:
primes.append(i)

return(primes)

except:
return("invalid Type :(")