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

Home > Numbers > Sequences
Divisible (Posted on 2011-09-30) Difficulty: 3 of 5
Five single-digit positive integers appear in a sequence.

The sum of the first two is divisible by the second, but not by the first.
The sum of the first three is divisible by the third, but not by the first or the second.
The sum of the first four is divisible by the fourth, but not by the first, second or third.
The sum of the first five is divisible by the fifth, but not by the first, second, third or fourth.

What are the five integers, in order?

  Submitted by Charlie    
Rating: 4.0000 (3 votes)
Solution: (Hide)
8, 4, 6, 3, 1

This originally appeared in New Scientist as Enigma No. 1656, "Five Integers" by Richard England.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAnswerMath Man2012-09-19 22:31:07
Solutionbroll2011-10-01 09:06:28
SolutionanswerDej Mar2011-10-01 04:47:07
SolutionSecond effort (spoiler)Steve Herman2011-10-01 01:10:41
re: Eureka! (spoiler)Charlie2011-10-01 00:27:24
SolutionEureka! (spoiler)Steve Herman2011-09-30 20:41:54
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 (11)
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