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43308631298509 = (2^2 + 3^3 + 5^5 + 7^7 + 11^11 + 13^13)/7. That's because 2^2 + 3^3 + 5^5 + 7^7 + 11^11 + 13^13 is a semiprime. 2^2 is a semiprime. No other semiprime 2^2 + 3^3 + 5^5 + 7^7 + ... + Prime[n]^Prime[n] is known, at least through n = 57 (last term = 271^271), which is a composite 653-digit number not yet fully factored. [Post]

 

  Submitted: 2004-10-03 22:26:47;   Last Modified: 2008-01-30 11:28:00.



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