Observe 3

Number Theory Level 2

a a , b b , c c , d d , and e e are distinct positive integers such that a 2 + b 2 = c 2 + d 2 = e a^2+b^2=c^2+d^2=e .

What is the minimum possible value of e e ?


The answer is 65.

Mr. India by Mr. India , 17, India

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1 solution

Mr. India
Mar 2, 2019

65 = 8 2 + 1 2 = 7 2 + 4 2 65=8^2+1^2=7^2+4^2

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