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

Home > Numbers
All the nines (Posted on 2022-04-07) Difficulty: 3 of 5

Let a be a prime of the form (2n+1), and let b be a prime of the form (2a+1), such that 1/b has an even period of length 2a, i.e. 0 followed by 2a decimal digits.

The 'splitadd' function splits these 2a digits into equal halves and adds them.

To give an (imaginary) example, say 1/b was 0.0123456789, then 'splitadd' would produce 01234+56789, and add these for a value of 58023.

Show that the result of the 'splitadd' function is always (10^a-1), or find a counterexample.

No Solution Yet Submitted by broll    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
waffle game Comment 9 of 9 |
waffle game is a game you can play whenever you want right in the browser. The rules of the game are very simple: You just need to use the given characters. Change them so that they link together to make meaningful words. Moreover, the waffle has suggestions for you with colors including, dark orange, light orange and original color.
  Posted by Sana Han on 2024-03-04 01:52:21
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 (0)
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