CassiusDelaney
Pierre de Fermat, a 17th century French lawyer, stated that any whole number can be written as the sum of four or less square numbers. For Example .
15 = 3(squared) + 2(squared) + 1(squared) + 1(squared)
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rctnk99
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It's a nice theorem, but what is the question?
CassiusDelaney
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oh sorry u have to make 95
rctnk99
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Make 95 out of sums of squares?
CassiusDelaney
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yeah :)
rctnk99
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Ok, so what the largest perfect square less than 95?
rctnk99
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what's*
CassiusDelaney
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ummmmmmmmmmm...
rctnk99
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10^2 is 100. What's 9^2?
CassiusDelaney
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81
rctnk99
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Then the largest perfect square that won't add up to over 95?
timo86m
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I like that theorem
CassiusDelaney
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so 9^2 + 4^2 + 1^2 is the answer?
rctnk99
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Close. 4^2 is 16. 81+16+1 is 98. So you have to use 3^2.
CassiusDelaney
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now im lost :/
rctnk99
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Ok, 9^2 is 81, right? You can't use 4^2 since 81+16 is greater than 95. So 81+3^2 is 90. Now you have 5 left. How can you make 5 out of sums of squares?
CassiusDelaney
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2^2 and 1^2
rctnk99
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So your answer is 9^2+3^2+2^2+1^2.
CassiusDelaney
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oh thank you mate :)
rctnk99
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Such a fun theorem.
CassiusDelaney
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haha :)