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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    
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Comments: ( Back to comment list | You must be logged in to post comments.)
Interesting Comment 4 of 4 |
This is interesting. Let see who will answer this.
  Posted by Best Astrologer on 2016-10-15 07:08:25
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