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

Home > Just Math
Divisible? Yes and No. (Posted on 2011-08-15) Difficulty: 2 of 5
Prove that 3^105+4^105 is divisible by 13*49*181*379 but is not divisible by either 5 or 11.

No Solution Yet Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution computer solution | Comment 1 of 3

 

a=3^105+4^105
OK

?a
 1645504557321331278892507061310792365037268911602846475476455267
OK
?a@13
 0
OK
?a@49
 0
OK
?a@181
 0
OK
?a@379
 0
OK
b=13*49*181*379
OK
?b
 43697563
OK
?a@b
 0
OK
?a@11
 2
OK

and of course it goes without saying, but I'll say it anyway, that a number ending in 7 is not divisible by 5.

Edited on August 16, 2011, 9:11 am
  Posted by Charlie on 2011-08-16 09:10:14

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 (3)
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