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:
“Unlike femininity, relaxed masculinity is at bottom empty, a limp nullity. While the female body is full of internal potentiality, the male is internally barren.... Manhood at the most basic level can be validated and expressed only in action.”
—George Gilder (b. 1939)
“It’s 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)