Below are my factorizations of partition numbers
 

p(6711) = 2.7.7.54323.140624089277310500651431778357850303223.520390690151286308924147668405849455599267
p(6086) = 2.2.2.3.3.11690823562985893872194337803898640613.22612759332040924636928110621003125770571427
p(6121) = 2.2.5.312695418065619558549019212841.5375697308422543743153832174351343649264653617354163
 

Suggestions and errata here.