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
Snapshots
Details
References
[1] 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.
[2] Y. Matiyasevich and B. Stechkin. "A Visual Sieve for Prime Numbers." (Jan 31, 2013) logic.pdmi.ras.ru/~yumat/personaljournal/sieve/sieve.html.
Permanent Citation
"A Parabola Sieve for Prime Numbers"
http://demonstrations.wolfram.com/AParabolaSieveForPrimeNumbers/
Wolfram Demonstrations Project
Published: February 4 2013