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In this note, we show that if N = q^kn^2 is an odd perfect number with special prime q, and N is not divisible by 3, then the inequality q < n holds. We then give another unconditional proof for the inequality q < n which is independent of the results of Brown and Starni.doi:10.7546/nntdm.2021.27.2.12-19 fatcat:m2bwfzaxa5bede5p7vzdwiqucy