a problem in elementary number theory



Hello,

I am stuck solving this problem from GRE Math training booklet:

Find the maximal integer x such that x divides p^4-1 for all prime
numbers p > 5.

[they actually have a list to choose from: 12, 30, 48, 120, 240]

Do you have any ideas?

--
Dmitry Sustretov

.



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