# 167

This number is a prime.

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It is conjectured that every positive integer may be
written as the sum of seven nonnegative cubes except these
seventeen: {15, 22, 23, 50, 114, 167, 175, 186, 212, 231,
238, 239, 303, 364, 420, 428, 454}. This conjecture has
been tested to 10^{34}and proven for numbers divisible by four. [Caldwell]

Submitted: 2009-03-27 06:27:46; Last Modified: 2009-03-27 14:39:31.

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