20835...60481 (78-digits)

This number is a prime.

20835161
7316091241 2343267463 1212444825 1235562226 4704915141 8633121705 0270460481

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The smallest prime that can be expressed as the sum of the first eleven prime powers of a number plus one. In this case, the number is 312 (i.e., 312^2 + 312^3 + 312^5 + 312^7 + 312^11 + 312^13 + 312^17 + 312^19 + 312^23 + 312^29 + 312^31 + 1 is prime). [Opao]

Submitted: 2003-12-29 05:43:03; Last Modified: 2008-01-30 17:28:00.