Question: .Please solve this problems with explanation. 5. Find the orders of (a) 2 modulo 31; (b) 2 modulo 51. 7. Find (a) 517 mod 7;

.Please solve this problems with explanation.

5. Find the orders of (a) 2 modulo 31; (b) 2 modulo 51. 7. Find (a) 517 mod 7; (b) 216 mod 8; (c) 675 mod 13. 8. Show that for every positive integer a, written in the base 10, a5 and a have the same last digit

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