Starting with a prime digit add another digit, after or before the first, then another, adding it after, before or within the second number, and continue, keeping the resulting numbers prime, without repeating any of the digits you have used so far.

Example: 2, 23, 263, 2063, 29063....

Obviously you cannot reach a pandigital number (it will always be divisible by 9) .

What are the lowest and highest numbers in the set of eligible solutions with the maximum number of digits?

Please specify the interim stages leading to your results.

(In reply to Smarandache-Wellin numbers? by Benny)

Very interesting!!

I'VE NEVER HEARD ABOUT THIS SERIES,

I've created a puzzle, found few solutions 

and was genuinely surprised to find out

how far can one go.  

Posted by Ady TZIDON on 2011-03-05 17:09:10