Prime 29 Curio
- View SourceHere's a curio I just submitted to the Prime Pages:
We look for a pair of numbers (m,n) each less than p=29 such that six
simultaneous primes are generated:
m*n + p^2
m*n - p^2
m*p + n^2
m*p - n^2
n*p + m^2
n*p - m^2.
It turns out there are three solutions for (m,n): (9,20), (11,18),
(14,15). Notice that in all cases n+m = 29.