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PUZZLET 182

Squares from Concatenated Prime Factors

For certain integers, you can make a perfect square by concatenating its prime factors in ascending order.

For example, the prime factors of 183 are 3 and 61. Concatenating these in ascending order gives 361, and 361 is 19^2.

Find all integers below 1000 which behave in this way.



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Last Updated: January 17th, 2010.