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 2022-09-19, 16:29 #63 mart_r     Dec 2008 you know...around... 22·11·19 Posts Where's the revolution? C'mon, people, you're letting me down! The "puzzle" with the geometric mean of consecutive gaps can be generalized: for n consecutive gaps the average ratio of the largest gap divided by the smallest gap appears to be as follows (rounded to three decimal places for n>=4): Code:  n r_gm 1 1 2 4 3 8 4 12.641 5 17.757 6 23.249 7 29.052 8 35.121 9 41.423 10 47.928 I'm afraid these numbers will give me headaches. 1.8 n (0.38 + log n) is an asymptotic facsimile for n<=1000, but we want more than this. What is it that I should ask myself?