A four digit natural number, divided by 3 to 1, divided by 5 to 2, divided by 7 to 3, what is the smallest one of these natural numbers?

The number multiplied by 2 plus 1 can be divided by 3, 5 and 7 at the same time; the least common multiple of 3, 5 and 7 is 3 × 5 × 7 = 105, (105-1) △ 2 = 52, because the least common multiple of 3, 5 and 7 is 105, so this kind of natural number must be a multiple of 52 + 105, because 52 + 105 × 9 = 997, which is a three digit number, then 52 + 105 × 10 = 1102; a: the minimum of this four digit natural number is 1102

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