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

Home > Just Math
n+1,n+11,n+111 (Posted on 2012-12-24) Difficulty: 1 of 5
Find a natural number n such that n+1, n+11, n+111 are all primes.

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 2.2500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Rephrasing the question....SPOILER | Comment 1 of 2

 

Trying 2 as a first even number we get an answer.

To qualify for d1 or d2 I will rephrase the question:

Prove that there is only one natural number n such that n+1, n+11, n+111 are all primes.

SOLUTION:

FOR  n>2  t

The three addends are distinct  members of the set (1,2,3) therefore at least one of them is divisible by 3 and therefore cpomposite.


  Posted by Ady TZIDON on 2012-12-24 10:47:59
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 (1)
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