9539

This number is a prime.

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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]

Submitted: 2024-01-27 07:43:12;   Last Modified: 2024-01-27 18:42:30.
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