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Bhargava and Hanke proved that if an integer valued quadratic form (such as 3x2 + 2xy + 4y2) can represent the numbers 29 numbers: 1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 17, 19, 21, 22, 23, 26, 29, 30, 31, 34, 35, 37, 42, 58, 93, 110, 145, 203 and 290; then it can represent every positive integer. [Caldwell]

 

  Submitted: 2006-03-17 22:00:25;   Last Modified: 2008-01-30 11:28:00.



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