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**1. Homework Statement**

Let p = 7, 13, or 19. Show that [tex] a^{1728} \equiv 1 (mod p) [/tex] for all a such that p does not divide a.

**2. Homework Equations**

Fermat's little theorem.

**3. The Attempt at a Solution**

I'm not sure how to show this. Any quick help or examples?

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