Schinzel circle - Alchetron, The Free Social Encyclopedia

Schinzel circles are a set of circles with a given number of integer points on the circumference of the circle.

If the number n = 2k of points on the circumference of the circle is even, then a Schinzel circle is given by:

( x − 1 2 ) 2 + y 2 = 1 4 5 k − 1

if n is odd or 2k + 1, then

( x − 1 2 ) 2 + y 2 = 1 4 5 2 k

References

(Text) CC BY-SA