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Enigma Number 1604

By Richard England

14 July 2010

From primes to squares

Harry has been looking for 5-digit perfect squares that can be read (in any order) as a 1-digit prime and two 2-digit primes. He knows that 1 is not a prime. 31329 (1772) qualifies in two ways, since the primes could be 3, 13, 29 or 31, 3, 29. Harry hasn’t found that example, but he has found three squares that each qualify in one way; they use nine different primes.

What are those three 5-digit squares?

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 18…

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