Nearly divisible by all

Find a positive integer less than 3000 which satisfy the conditions below.

  • When divided by 1, it leaves a remainder of 0.

  • When divided by 2, it leaves a remainder of 1.

  • When divided by 3, it leaves a remainder of 2.

  • \(\ldots \)

  • When divided by 9, it leaves a remainder of 8.

  • When divided by 10, it leaves a remainder of 9.

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