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The smallest prime number that starts a series of five consecutive primes (619, 631, 641, 643, and 647) such that their sum (3181) is prime, the sum of their squares (2024261) is prime, the sum of their cubes (1288478701) is prime, and the sum of these three sums (1290506143) is prime. The next such prime number is 4603. [Goelz]

Submitted: 2012-05-02 21:33:19;   Last Modified: 2019-03-11 15:16:14.
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