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1971 AMC 12 Question 14

AMC12 · 1971 AMC 12

Question 14

The number $2^{48}-1$ is exactly divisible by two numbers between $60$ and $70.$ These numbers are:
  1. $61,$ $63$
  2. $61,$ $65$
  3. $63,$ $65$
  4. $63,$ $67$
  5. $67,$ $69$