Give examples of numbers that can be represented as sum of three squares
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Answer:
8n+3,7n+2,6n+1is the correct answer
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Hey in 1796 gauss proved that his eureka theorem
This is equivalent to sum of 3 triangular numbers fact that 8n+3 is the sum of three squares
Thats
N=x^2 +y^2 +z^2
If and only if n is not of the form
N=4^a(8b+7)
For integers a, b
These sequence is that
7,15,23,28,31,39...........
Hope it helps u
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