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Problem 146


Problem 146


Investigating a Prime Pattern

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?


素数模式研究

使得n2+1,n2+3,n2+7,n2+9,n2+13以及n2+27为连续素数的最小的n是10。在小于一百万的整数中,所有满足这一条件的整数n的总和为1242490。

在小于一亿五千万的数中,所有满足这一条件的整数n的总和是多少?