I got a fun little question from Jean-Marie by email the other day. With the disclaimer that I don’t really have the time to solve that many puzzles and therefore probably wont be able to give you a solution to puzzles like this one. This one triggered my curiosity and I managed to find a rather cure solution.

Therefore I will post it to you all and let you wonder a bit about it. If you find the solution feel free to post it in the comments.

The question is simple:

**Find all the primes that contain 9 different digits (0 excluded).**

Good luck 🙂

*Related posts*

Haha. Good one!

… and the biggest prime with 9 different digits (excluding 2) is …

987654103

The largest prime number of 9 different digits.

https://sites.google.com/site/numeropedia2/numbers980m

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Note :

987654301 :

987654301 has the following properties:

It is composite and has the factorization: 2029×486769

http://www.mathblog.dk/tools/prime-factorization/

More on the subject …

Sum of digits and divisibility by 3

http://eli.thegreenplace.net/2006/07/11/sum-of-digits-and-divisibility-by-3/

and the references cited therein.