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All that remainder is Gold (Posted on 2019-07-21) Difficulty: 3 of 5
(n3-12n2+8n-93)/(11+2n-n2) = p

Let n be some integer satisfying the above equation yielding a prime number p. What is the sum of all possible values of p.

No Solution Yet Submitted by Danish Ahmed Khan    
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re: No Subject | Comment 2 of 3 |
(In reply to No Subject by Daniel)

Nice work, just one thing to add: n=-203 will make the fraction (n+203)/(n^2-2n-11) equal zero so one more integer solution (-203, 213) exists; but since 213 is composite the final answer is still the same.
  Posted by Brian Smith on 2019-07-22 10:21:06

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