I have been playing for so long, I can't remember if I've done Purity and Dragon Seeker........... Does anyone know how I would figure it out without going through the huge list in my quest history.

On a side note, my game progress in General Stats has me at 8 quests completed in Companions. Though I think this is only for the main quests. I have completed all of the main quest, and gotten 3 totems for Aela. Both Aela and Vilka seem to be giving me the basic quests now.

Unless you're playing on the PC, I'm not aware of any other way to check for the Purity quests.

BTW: Dragon Seekers is a repeatable quest.

PC console command: getstage CR13

If it returns 100, that means you have done at least one of the Purity quests.

Actually while playing the repeatables I just got purity...... Odd thing is, I arrived at the cave with Vilkas and the quest instantly dropped to my completed list, and Quests Completed is no listed as 112 instead of 113????????????????????

You need to do Farkas' Purity quest prior to doing Vilkas' Purity quest or you will encounter this bug. There is no fix for it on consoles, other than reverting to a previous save.