Created
May 8, 2009 12:04
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Damn fuckin super-duper n00bish Sieve of Eratosthenes.
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# http://en.wikipedia.org/wiki/Sieve_of_Eratosthenes | |
def getPrimes(num): | |
numbers = range(2, num) | |
primes = [1] | |
while(max(primes)*max(primes) <= max(numbers)): | |
p = numbers.pop(0) | |
primes.append(p) | |
for n in numbers: | |
if (n%p == 0): numbers.remove(n) | |
del primes[0] | |
return primes + numbers | |
# get a list of natural numbers that are product of 2 prime numbers, which is 1 <= n < 100. | |
primes1 = getPrimes(99) | |
primes2 = getPrimes(99) | |
result1 = [] | |
for a in primes1: | |
for b in primes2: | |
result1.append(a*b) | |
print result1 | |
# get a list of natural numbers that are 1 <= n < 100 and are product of 2 prime numbers. | |
primes1 = getPrimes(49) # because 2 * 50 = 100 | |
primes2 = getPrimes(49) # because 2 * 50 = 100 | |
result2 = [] | |
for a in primes1: | |
for b in primes2: | |
product = a*b | |
if product < 100 and product not in result2: result2.append(a*b) | |
result2.sort() | |
print result2 |
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