9539
This number is a prime.
9539 is the smallest prime that can be expressed as the sum
of 9 fourth powers in 9 different ways. Using the shorthand
(abcdefghi) for a^4 + b^4 + c^4 + d^4 + e^4 + f^4 + g^4 +
h^4 + i^4, the 9 different ways are (122224479),
(122234669), (111222688), (222344778), (223346678),
(111466668), (233366668), (244446777), and (344466677). [Keith]
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