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PUZZLET 120

Squares from Twin Primes

The consecutive pair of primes are known as Twin Primes.  1913 and 1931 are an example.

This particluar example sums to 3844, which happens to be 62^2.

Find all other Twin Primes whose sum is a perfect square. Limit your search to primes no greater than four digits in length. There is no upper or lower limit to the value of the sum of the primes.


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Last Updated: January 14th, 2010.