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Prime Directive

Math brain teasers require computations to solve.

 

Puzzle ID:#19588
Fun:*** (2.23)
Difficulty:*** (2.96)
Category:Math
Submitted By:cnmne*us*****

 

 

 



Arrange the numerals "11337799" to form an 8-digit number (referred to as "ABCDEFGH") that meets the following conditions:

1) ABCDEFGH is a prime number
2) HGFEDCBA (reversing the digits) is a prime number
3) all consecutive 2-digit subsets of ABCDEFGH are prime numbers (AB, BC, CD, DE, EF, FG, GH are all prime)
4) all consecutive 2-digit subsets of HGFEDCBA are prime numbers (HG, GF, FE, ED, DC, CB, BA are all prime)

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