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Question Number 120809 by liberty last updated on 02/Nov/20

$$\mathrm{Find}\mathrm{the}\mathrm{largest}\mathrm{number}\mathrm{of}\mathrm{positive}$$$$\mathrm{integers}\mathrm{that}\mathrm{can}\mathrm{be}\mathrm{found}\mathrm{in}\mathrm{such}\mathrm{a}\mathrm{way}$$$$\mathrm{that}\mathrm{any}\mathrm{two}\mathrm{of}\mathrm{them}a\mathrm{and}b(a\ne b)$$$$\mathrm{satisfy}\mathrm{the}\mathrm{next}\mathrm{inequality}\mid a-b\mid ⩾\frac{ab}{100}$$

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