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

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

Question 1

Find a 4-digit number whose digits are all the same and which has only two distinct prime divisors.
  1. 1111
  2. 2222
  3. 3333
  4. 5555