diff options
Diffstat (limited to '10001prime.py')
-rw-r--r-- | 10001prime.py | 52 |
1 files changed, 28 insertions, 24 deletions
diff --git a/10001prime.py b/10001prime.py index ecaa8cd..bc51d49 100644 --- a/10001prime.py +++ b/10001prime.py @@ -1,30 +1,34 @@ -import PIL, math +import PIL +import math + +# Problem 7 - 10,001st prime + +# returns a list of every prime up to a certain number -#Problem 7 - 10,001st prime -#returns a list of every prime up to a certain number def listprimes(number): - primes = [] - if (number <=1): - return [1] - a = [1] * number - a[0]=0 - a[1]=0#1 and 0 are not prime - ##Sieve of eratosthenes - for i in range(2,int(math.ceil(math.sqrt(number)))): - if(a[i]==1): - j = i**2 #cross out all the multiples of i, starting with its square - while(j < number): - a[j] = 0 - j+=i - - for k in range(2, number): - #is prime - if(a[k]==1): - primes.append(k) - return primes + primes = [] + if (number <= 1): + return [1] + a = [1] * number + a[0] = 0 + a[1] = 0 # 1 and 0 are not prime + # Sieve of eratosthenes + for i in range(2, int(math.ceil(math.sqrt(number)))): + if(a[i] == 1): + j = i**2 # cross out all the multiples of i, starting with its square + while(j < number): + a[j] = 0 + j += i + + for k in range(2, number): + # is prime + if(a[k] == 1): + primes.append(k) + return primes + out_list = listprimes(1000000) -#print(out_list) -#return 10,001th prime factor +# print(out_list) +# return 10,001th prime factor print(out_list[10000]) |