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

Home > Just Math
Composite Contemplation (Posted on 2013-02-16) Difficulty: 3 of 5
S=a+b+c+d+e+f, where:
each of a,b,c,d,e and f is a positive integer.

If S divides each of:
a*b*c + d*e*f and:
a*b + b*c + c*a - d*e - e*f - d*f
then, is S always composite?

If so, prove it. If not, provide a counter example.

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): spoilerSteve Herman2013-02-18 10:11:27
re: spoilerJer2013-02-17 22:13:01
spoilerxdog2013-02-17 15:35:12
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 (23)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information