Originally Posted by

**wonderboy1953** I believe it can be proven that no number larger than a three-digit number can be found

with the desired properties.

With larger numbers the number of combinations grows rapidly. So for a three-termed number, there are six combinations; when it's four termed, 24 combinations exist; five terms - 120 combinations and so on. It's already known that the primes thin out as they get bigger.

The proof based on the aforementioned should be interesting if it hasn't been done yet.