A number theory problem by Franz Louis Cesista

Number Theory Level 5

a , b , c {a, b, c} is a Primary Pythagorean Triple (PPT) when: a 2 + b 2 = c 2 {a}^{2}+{b}^{2}={c}^{2} , a , b , c ∈ Z {a, b, c} \in \mathbb{Z} , and a , b , c {a, b, c} are relatively prime.

Ex. 3 , 4 , 5 {3, 4, 5} is a PPT while 6 , 8 , 10 {6, 8, 10} isn't.

How many PPTs are there where a , b , c ≤ 1000 a, b, c\leq 1000 ?


The answer is 158.

Franz Louis Cesista by Franz Louis Cesista , 22, Philippines

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1 solution

Shivam Mishra
Feb 1, 2016

@Lakshya Sinha how did you solve this? Can you please post a solution

0 Helpful 0 Interesting 0 Brilliant 0 Confused

There is no explanation?

Wahyu Yoga Pratama Kobayakawa - 2 years, 2 months ago

Computer Science

Department 8 - 5 years, 4 months ago

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