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1999 AMC 12 Question 4

AMC12 · 1999 AMC 12

Question 4

Find the sum of all prime numbers between $1$ and $100$ that are simultaneously $1$ greater than a multiple of $4$ and $1$ less than a multiple of $5.$
  1. $118$
  2. $137$
  3. $158$
  4. $187$
  5. $245$