+227 Let p be a prime. What are the possible remainders when p is divided by 17? Select all that apply.
+1237
Let p be a prime. What are the possible remainders when p is divided by 17? Select all that apply.
17/17 = 1 R 0
103/17 = 6 R 1 73/17 = 4 R 5 43/17 = 2 R 9 47/17 = 2 R 13
19/17 = 1 R 2 23/17 = 1 R 6 61/17 = 3 R 10 31/17 = 1 R 14
37/17 = 2 R 3 41/17 = 2 R 7 79/17 = 4 R 11 83/17 = 4 R 15
89/17 = 5 R 4 59/17 = 3 R 8 29/17 = 1 R 12 67/17 = 3 R 16
So, we can say, shown empirically, that all the possible
remainders are every integer from 0 to 16, inclusive.
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