I noticed that all number of the form n^41-1 with n<6600 are fully factored. The smallest n been unfactored is n=6697 with an C128 cofactor.
I also noticed, that n^41+1 is much less factored,
only up to n=1100 are all numbers FF. The smallest n been unfactored is n=1109 with C122 cofactor.
Between n=1000 and n=1500 are all numbers FF. Going up to n=2000.
I´ll at least pretest these numbers and list them here. From time to time I´ll take them down. Please note: Slow progress.