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.

Printable View

- Jan 24th 2007, 10:54 AMIdeasmanFind Next Integer
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. - Jan 24th 2007, 11:05 AMAfterShock
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. - Jan 24th 2007, 11:16 AMThePerfectHacker
I do not think it is a question about Wilson's theorem it is about just finding the next number.

- Jan 24th 2007, 11:26 AMAfterShock