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Compute the final two (decimal) digits of 3^1000 by hand (and explain your computation). Hints: To get the answer, you need to compute 3^1000 mod

Compute the final two (decimal) digits of 3^1000 by hand (and explain your computation).

Hints: To get the answer, you need to compute 3^1000 mod 100.

Use Eulers theorem from Lecture 9, part 2, slide 17, and the formula (7) from the Boneh-Shoups book (PDF file, page 817)

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