The abundancy index of divisors of odd perfect numbers – Part II

Keneth Adrian Precillas Dagal, Nasser Vocational Training Centre, Bahrain, Jose Arnaldo Bebita Dris, De La Salle University
2021 Notes on Number Theory and Discrete Mathematics  
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