ENIGMA 1538 — Six factors

by Richard England

Choose two 2-digit numbers, each of which is the product of two primes, and add them together to produce a 2-digit result which is also the product of two primes. All six primes are different.

Swap over the units digits between the two original numbers to create two new numbers, each of which is the product of two primes. If we repeat the addition, once again all six primes are different.