## CassiusDelaney 3 years ago 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)

1. rctnk99

It's a nice theorem, but what is the question?

2. CassiusDelaney

oh sorry u have to make 95

3. rctnk99

Make 95 out of sums of squares?

4. CassiusDelaney

yeah :)

5. rctnk99

Ok, so what the largest perfect square less than 95?

6. rctnk99

what's*

7. CassiusDelaney

ummmmmmmmmmm...

8. rctnk99

10^2 is 100. What's 9^2?

9. CassiusDelaney

81

10. rctnk99

Then the largest perfect square that won't add up to over 95?

11. timo86m

I like that theorem

12. CassiusDelaney

so 9^2 + 4^2 + 1^2 is the answer?

13. rctnk99

Close. 4^2 is 16. 81+16+1 is 98. So you have to use 3^2.

14. CassiusDelaney

now im lost :/

15. rctnk99

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?

16. CassiusDelaney

2^2 and 1^2

17. rctnk99

18. CassiusDelaney

oh thank you mate :)

19. rctnk99

Such a fun theorem.

20. CassiusDelaney

haha :)