9.3. Find any five consecutive natural numbers less than 100, the product of which is divisible by 2014.
A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.
Official solution
Answer: 53, 54, 55, 56, 57.
This example can be obtained by noting that 2014=2⋅19⋅53.
Remark. This example of such numbers is unique. Only the answer without verification or explanation - 5 points; the answer with verification or explanation - 7 points.
Source: NuminaMath-1.5,
licensed Apache-2.0.
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