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Mr. and Mrs. Crazy: Squimes

Math brain teasers require computations to solve.

 

Puzzle ID:#45263
Fun:** (1.97)
Difficulty:*** (2.9)
Category:Math
Submitted By:CaIceDevilAus****!!

 

 

 



Mr. and Mrs. Crazy were just one step away from winning the $1,000,000 prize in the contest. In order for them to win, they must answer this question:

What are the only ten 8-digit squimes?
In case you don't know what a squime is, it is any number that:
-has no zero
-has all different digits
-starts and ends with a single-digit prime or single-digit square number
-each pair of consecutive digits is a square or prime

Mr. and Mrs. Crazy solved it and won one million dollars. What were their answers?

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Answer

The 8-digit squimes are:
25316479
25316497
25364179
25364197
25364719
25364971
25371649
25971643
25973164
25973641

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