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Prime Ponderings

Math brain teasers require computations to solve.

 

Puzzle ID:#19862
Fun:*** (2.71)
Difficulty:*** (2.78)
Category:Math
Submitted By:snaps*au****

 

 

 



What are the largest and smallest 5-digit numbers that satisfy the following conditions?

1. Each digit of the number is a prime digit.
2. Each successive pair of digits forms a 2-digit number that is NOT a prime number.
3. Each of the prime digits must appear at least once in the 5-digit number.

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