result += 2
found = True
# result = 3, primes = [2], j = 0, primes[0]*primes[0] > 3 ==> prime
# result = 5, primes = [2, 3], j = 0, result%primes[0] == 1
# j = 1, primes[1]*primes[1] > 5 ==> prime
# result = 7, primes = [2, 3, 5], j = 0, result%primes[0] == 1
# j = 1, primes[1]*primes[1] > 7 ==> prime
# result = 9, primes = [2, 3, 5, 7], j = 0, result%primes[0] == 1
# j = 1, result%primes[1] == 0 ==> not prime
j = 0
while (found and j < len(primes) and primes[j]*primes[j] <= result):
if (result % primes[j] == 0):
found = False
j += 1
if (found):
primes.append(result)
return result
targets = [ 6, 11, 101, 1001, 10001, 50001 ]
sizes = [ 20, 40, 600, 8000, 105000, 612000 ]
# for target in targets:
# print("Worst(%d): %d" %(target, worst_index(target)))
for i, target in enumerate(targets):
sieve = Sieve(sizes[i])
print("Sieve(%d): %d" %(target, sieve.index(target)))
for target in targets:
print("Modified Sieve(%d): %d" %(target, sieve2_index(target)))
for target in targets:
print("Improved Sieve(%d): %d" %(target, sieve3_index(target)))
