All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Prime, anyway (Posted on 2012-06-17) Difficulty: 3 of 5
List all primes p below 10000 such that every permutation of p's digits is a prime (e.g. 2, 37, 199).
Any conjectures?

  Submitted by Ady TZIDON    
Rating: 3.0000 (2 votes)
Solution: (Hide)
Ignoring trivial solutions (single-digit numbers and repunit numbers) and listing only the lowest sample of all existing permutations there are only 8 numbers : 11, 13, 17, 37, 79, 113, 199, 337.
Conjecture : only 2 or 3-digit numbers qualify.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
No Subjectbrianjn2012-06-17 21:14:22
Solutioncomputer solutionCharlie2012-06-17 16:34:33
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information