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:
“The universal moments of child rearing are in fact nothing less than a confrontation with the most basic problems of living in society: a facing through ones children of all the conflicts inherent in human relationships, a clarification of issues that were unresolved in ones own growing up. The experience of child rearing not only can strengthen one as an individual but also presents the opportunity to shape human relationships of the future.”
—Elaine Heffner (20th century)
“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)