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2003

The first digit cannot be zero because then the number would be less than 1459. Similarly the first digit cannot be greater than 2 because then the number would be more than 2569. Therefore, the first digit must be 2.

Then, so far, we have 20__.

We see now that any number in this range is greater than 1459 and less than 2569. So a complete answer would be 2000, 2001, 2002, ..., 2099.

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10y ago
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Q: What is the 4 digit number between 1459 and 2569 with a zero in the hundreds place?
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