Sieve of Eratosthenes
Sieve of Eratosthenes
You are encouraged to solve this task according to the task description, using any language you may know.
You are encouraged to solve this task according to the task description, using any language you may know.
The Sieve of Eratosthenes is a simple algorithm that finds the prime numbers up to a given integer. http://en.wikipedia.org/wiki/Sieve_of_Eratosthenes
Forth
: sieve ( n -- ) \ find primes up to n here over erase dup 2 do here i + c@ 0= if i dup . begin i + 2dup > while 1 over here + c! repeat drop then loop drop ; 100 sieve
MAXScript
fn eratosthenes n = ( multiples = #() print 2 for i in 3 to n by 2 do ( if (findItem multiples i) == 0 then ( print i for j in (i + i) to n by i do ( append multiples j ) ) ) ) eratosthenes 100
Python
def eratosthenes(n): multiples = [] print 2 for i in xrange(3, n, 2): if not i in multiples: print i for j in xrange((i+i), n, i): multiples.append(j) eratosthenes(100)