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For a number to be divisible by 3, its digit sum has to be divisible by 3. For a number not to be divisible by 2, the last digit must be a 1,3,5,7 or 9.

Using these rules, the numbers between 500 and 600 that divide by 3 but not 2 become clear:

501, 507, 513, 519, 525, 531, 537, 543, 549, 555, 561, 567, 573, 579, 585, 591 and 597

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13y ago

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