Fermats-Little-Theorem-assignment-help-

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(7) 

(a) Use Fermat’s Little Theorem to find the last digit of 3100.
(b) Let a be ant positive integer. Show that a and a5 have th same last digit.

(8) (a) Find the remainder when 15! is divided by 17. (b) Find the remainder when 2(26!) is divided by 29. 

(9) Show that 18! ≡ −1 (mod 437) 

 
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