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 2¹² + 2¹² + 3¹² = 539633. Martin Renner of Germany has found that there are only three prime numbers of this form where m < 25500. Do others exist? [Honaker]