Example of Basic Sieve
This example will demonstrate standard quadratic sieve without logarithm optimizations or prime powers. Let the number to be factored N = 15347, therefore the ceiling of the square root of N is 124. Since N is small, the basic polynomial is enough: y(x) = (x + 124)2 − 15347.
Read more about this topic: Quadratic Sieve
Famous quotes containing the words basic and/or sieve:
“I fly in dreams, I know it is my privilege, I do not recall a single situation in dreams when I was unable to fly. To execute every sort of curve and angle with a light impulse, a flying mathematicsthat is so distinct a happiness that it has permanently suffused my basic sense of happiness.”
—Friedrich Nietzsche (18441900)
“Its like pushing marbles through a sieve. It means the sieve will never be the same again.”
—Before the 1972 Democratic Convention in Miami. As quoted in Crazy Salad, ch. 6, by Nora Ephron (1972)