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

Home > Numbers
Prime-Time Ant (Posted on 2010-10-05) Difficulty: 3 of 5
An ant is placed on a large sheet of graph paper on which numerous concentric squares have been marked in ink, indicating each successive odd prime starting with 3. The ant starts moving North, from the centre square of the 3x3 block, and will alternately;
1. Turn right when it reaches an ink line (which seems like a ‘wall’ to the ant); and
2. Resignedly clamber over the ‘wall’ and continue to scurry forwards in its current direction until confronted by another wall.

Hence the first few moves of the ant will be: North 1 step, turn right, East 2 steps, turn right, South 4 steps, turn right, West 7 steps, turn right, and so on.

Question: How many steps will the ant have had to take by the time it climbs over the 10,000th ‘wall’?

No Solution Yet Submitted by broll    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: computer-aided solutionbroll2010-10-06 12:31:48
Solutioncomputer-aided solutionCharlie2010-10-06 02:50:37
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information