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Recall that a perfect square is the square of some integer. How many perfect squares less than 1,000 can be represented as the difference of two consecutive perfect squares?

 Jul 10, 2021
 #1
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The answer is 15.

 Jul 10, 2021
 #2
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Recall that a perfect square is the square of some integer. How many perfect squares less than 1,000 can be represented as the difference of two consecutive perfect squares?

 

so... how many Pythagorean triads are there such that the smallest one squared is less than 1000

 

Pythagorean triads with a prime number

 

sqrt(1000) = 31.6227766016837933

 

I get 16 but there is probably a much better way to do it.

 

 Jul 11, 2021
edited by Melody  Jul 11, 2021

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