All about
flooble

fun stuff

Get a free chatterbox

Free JavaScript

Avatars
perplexus
dot
info
Home
>
Numbers
Cute Divisibility (
Posted on 20130126
)
Given that a number L = (3
^{39}
+5
^{39}
)/4 + 1,
is (3
^{L}
+5
^{L}
)/4 +1 divisible by L ?
If so, prove it.
No Solution Yet
Submitted by
Danish Ahmed Khan
No Rating
Comments: (
Back to comment list
 You must be logged in to post comments.
)
other thoughts
Comment 2 of 2 
If f(L) = (3^L + 5^L)/4 + 1,
then f(1) = 3 and f(f(1)) = 39.
Also the sum of 39th powers is divisible by (3^3 + 5^3) = 152, so the given value of L is of the form 38k + 1.
Posted by
xdog
on 20130127 11:34:31
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 (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On
Chatterbox:
blackjack
flooble's webmaster puzzle
Copyright © 2002  2018 by
Animus Pactum Consulting
. All rights reserved.
Privacy Information