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.

Mark