# 539633

This number is a prime.

The sum of 7 positive 11th powers. [Sloane]

The smallest prime number of the form *a*^{m} + *b*^{m} + *c*^{m} + ... , where (*a* * *b* * *c* * …) is the prime factorization of *m*. Here m = 12, therefore 2^12 + 2^12 + 3^12 = 539633. [Honaker]

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