A Parabola Sieve for Prime Numbers
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
The Russian mathematicians Yuri Matiyasevich and Boris Stechkin created this sieve for prime numbers. The parabola contains the subset of points of the form and the subset of points of the form , where and are integers greater than 1. Join all the points of to all the points of by lines; these lines cross the axis at points with coordinates . All composite numbers are crossed by the lines, leaving the prime numbers.
Contributed by: Enrique Zeleny (February 2013)
Open content licensed under CC BY-NC-SA
 Gaussianos. "La sorprendente criba de la parábola." (in Spanish) (Jan 31, 2013) gaussianos.com/la-sorprendente-criba-de-la-parabola/?utm_source=feedburner&utm_medium=feed&utm_campaign=Feed%3A+gaussianos+%28Gaussianos%29.
 Y. Matiyasevich and B. Stechkin. "A Visual Sieve for Prime Numbers." (Jan 31, 2013) logic.pdmi.ras.ru/~yumat/personaljournal/sieve/sieve.html.
"A Parabola Sieve for Prime Numbers"
Wolfram Demonstrations Project
Published: February 4 2013