Should my boyfriend know my ex's name?

I dated my ex from freshman year to senior year of high school. I'm 25 now and just got my first boyfriend since that (toxic) relationship. My new boyfriend keeps asking me my ex's name. I have told him a bit about my ex (the bad stuff). But am I required to disclose his identity/should I? My boyfriend claims he has had no serious girlfriends... only dated a girl 2 months. Any thoughts?
Should my boyfriend know my ex's name?
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