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Counting ARATs (
Posted on 2016-09-07
)
Let (a, b, c) denote a triplet of distinct integers in an ascending order.
If
a
2
+ b
2
=c
2
+1
or if
a
2
+ b
2
=c
2
- 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: (
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)
Subject
Author
Date
Interesting
Best Astrologer
2016-10-15 07:08:25
Corrected version for c<100,000
Charlie
2016-09-07 12:57:02
re: programming mistake; also need faster computer/programming language
Charlie
2016-09-07 10:41:16
programming mistake; also need faster computer/programming language
Charlie
2016-09-07 10:23:17
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