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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 1034 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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