Using Wilson's theorem, find the least positive residue of 8*9*10*11*12*13 modulo 7.

I cant really imply "6!=-1(mod 7)" in this question, how do i use it?

Printable View

- Oct 23rd 2008, 07:47 AMpsb01080Wilson's Theorem
Using Wilson's theorem, find the least positive residue of 8*9*10*11*12*13 modulo 7.

I cant really imply "6!=-1(mod 7)" in this question, how do i use it? - Oct 23rd 2008, 07:52 AMvincisonfire
8 mod 7 = 1

9 mod 7 = 2

...

13 mod 7 = 6

8*9*10*11*12*13 mod 7 = 6! mod 7 = -1