Earlier this week I nearly set a group theory question "what's the minimum number of generators for a presentation of this group?" with an expected answer greater than 2, so I can sympathise with whoever wrote this prompt twitter.com/Kit_Yates_Math…
In reply to @christianp
.. and now I've done a second's thinking and googling, the factoid I half-remembered only applies to finite simple groups.
Which the group in question was, so maybe I haven't made an error about my error?