Spaces:
Running
on
Zero
Running
on
Zero
GenAi Evolution 8
#73
by
Ravka
- opened
๐: Find a counterexample to the statement that every positive integer can be written as the sum of the squares of
three integers.
๐ค: Sure! Here's an example of a positive integer that cannot be expressed as the sum of the squares of three integers:
50 = 1^2 + 4^2 + 9^2
But, 50 is not equal to 3^2 + 6^2 + 7^2. So, there exists at least one positive integer that cannot be written as the sum of the squares of three integers.