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1973 AMC 12 Question 3

AMC12 · 1973 AMC 12

Question 3

The stronger Goldbach conjecture states that any even integer greater than $7$ can be written as the sum of two different prime numbers. For such representations of the even number $126,$ the largest possible difference between the two primes is

*Note:* The regular Goldbach conjecture states that any even integer greater than $3$ is expressible as a sum of two primes. Neither this conjecture nor the stronger version has been settled.
  1. $112$
  2. $100$
  3. $92$
  4. $88$
  5. $80$