Problem

Find the least positive residues of each of the following.a) 6! modulo 7b) 10! modulo 11c)...

Find the least positive residues of each of the following.

a) 6! modulo 7


b) 10! modulo 11


c) 12! modulo 13


d) 16! modulo 17


e) Can you propose a theorem from the above congruences?

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