Sieve Of Sundaram

October 7, 2011

In 1934, an Indian math student, S. P. Sundaram, invented a new method of sieving primes:

From a list of integers from 1 to n, remove all integers of the form i + j + 2ij where integers i and j range from 1 ≤ ij and i + j + 2ijn. For each remaining integer k, the integer 2k+1 is prime, and the list gives all the odd primes (thus excluding the prime 2).

Your task is to implement the sieve of Sundaram and calculate the list of primes to a million. When you are finished, you are welcome to read or run a suggested solution, or to post your own solution or discuss the exercise in the comments below.


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