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AIMO 2021 Secondary 3 — Preliminary (Open Trial 1) Question 5

AIMO · AIMO 2021 Secondary 3 — Preliminary (Open Trial 1)

Question 5

Find the sum of the prime factors of $3^8+3^7+1$.

Original printed choices: A: 13; B: 637; C: 690; D: 689.

Editorial format: answer directly; the printed choices are retained for source fidelity. See the solution for the source issue.