
06474547
j
2015e.00657
Stephenson, Paul
Primes by paperfolding. The symmetry of the StechkinMatiyasevich sieve.
Math. Sch. (Leicester) 44, No. 3, 4041 (2015).
2015
Mathematical Association (MA), Leicester
EN
G70
F60
parabolas
analytic geometry
coordinate geometry
coordinates
grid points
prime numbers
equations of straight lines
locus
symmetry
collinearity
similar triangles
paper folding
From the text: In the piece `Primes by Searchlight', directed at KS3 children, I mention work suitable for the sixth form. This is it. First I describe the paperfolding construction, then unpick it to reveal the similar right triangles and simple coordinate geometry hidden within the figure it is derived from, a construction which sieves composites from the natural numbers to leave primes first described by two Russians, Boris Stechkin and Yuri Matiyasevich.