Hi;
I am given the following:
1! + 1 = 2
2! + 1 = 3
4! + 1 = 25
6! + 1 ...
10! + ...
12! + ...
??! + 1 = ...
Find ??. Find the next 5 in the sequence.
Thanks.
Quite ironic- we were mentioning this in my number theory class.
Are you familiar with Wilson's Theorem?
16!
18!
22!
28!
30!
36!
And so forth.
The theorem states:
(p - 1)! + 1 is divisible by p, where p is prime. It can proven with minimal effort, too, should you want me to give a proof.