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AMC10 2027 - Self-practice Set 4 Question 10

AMC10 · AMC10 2027 - Self-practice Set 4

Question 10

Let $A$ be the set of positive integers $n$ for which $n^2-19n+91$ is a perfect square. What is the sum of the elements of $A$?
  1. $10$
  2. $91$
  3. $28$
  4. $36$
  5. $19$