Question: a) Show that 2340 1 (mod 11) by Fermat's little theorem and noting that 2340 = (210)34. b) Show that 2340 1 (mod

a) Show that 2340 ≡ 1 (mod 11) by Fermat's little theorem and noting that 2340 = (210)34.
b) Show that 2340 ≡ 1 (mod 31) using the fact that 2340 = (25)68 = 3268.
c) Conclude from parts (a) and (b) that 2340 ≡ 1 (mod 341).

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