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MathNet 2009-part-04 — 175 problems (EN–VI) Question 140

Math Olympiad Vault · MathNet 2009-part-04 — 175 problems (EN–VI)

Question 140

Find the biggest 3-digit number which satisfies the following three conditions:
1) the number is prime;
2) the 3-digit number obtained by writing the digits of our number in the reverse order is a prime too;
3) the product of the digits is a prime too.