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Investigating a Prime Pattern

Problem 146

Published on Saturday, 24th March 2007, 09:00 am; Solved by 2654

The smallest positive integer n for which the numbers n2+1, n2+3, n2+7, n2+9, n2+13, and n2+27 are consecutive primes is 10. The sum of all such integers n below one-million is 1242490.

What is the sum of all such integers n below 150 million?