Let-S-1-2-3-4-48-49-What-is-the-maximum-value-of-n-such-that-it-is-possible-to-select-n-numbers-from-S-and-arrange-them-in-a-circle-in-such-a-way-that-the-product-of-any-two-adjacent-numbers

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Question Number 116356 by bemath last updated on 03/Oct/20

$$\mathrm{Let}\mathrm{S}=\{1,2,3,4,\dots ,48,49\}.\mathrm{What}\mathrm{is}$$$$\mathrm{the}\mathrm{maximum}\mathrm{value}\mathrm{of}\mathrm{n}\mathrm{such}\mathrm{that}$$$$\mathrm{it}\mathrm{is}\mathrm{possible}\mathrm{to}\mathrm{select}\mathrm{n}\mathrm{numbers}$$$$\mathrm{from}\mathrm{S}\mathrm{and}\mathrm{arrange}\mathrm{them}\mathrm{in}\mathrm{a}\mathrm{circle}$$$$\mathrm{in}\mathrm{such}\mathrm{a}\mathrm{way}\mathrm{that}\mathrm{the}\mathrm{product}\mathrm{of}$$$$\mathrm{any}\mathrm{two}\mathrm{adjacent}\mathrm{numbers}\mathrm{in}\mathrm{the}$$$$\mathrm{circle}\mathrm{is}\mathrm{less}\mathrm{than}100?$$

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