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

Home > Numbers
Counting ARATs (Posted on 2016-09-07) Difficulty: 3 of 5
Let (a, b, c) denote a triplet of distinct integers in an ascending order.
If a2+ b2=c2+1
or if
a2+ b2=c2- 1
we will call such a triplet an ARAT (since it represents an almost-right-angle triangle) .
(4,8,9) is such a triplet.

How many ARATs are there, provided c<1,000,000?

No Solution Yet Submitted by Ady TZIDON    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
InterestingBest Astrologer2016-10-15 07:08:25
Some ThoughtsCorrected version for c<100,000Charlie2016-09-07 12:57:02
re: programming mistake; also need faster computer/programming languageCharlie2016-09-07 10:41:16
Some Thoughtsprogramming mistake; also need faster computer/programming languageCharlie2016-09-07 10:23:17
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:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information