I created a gmail account for my dad some time ago. He almost never uses it, and even if he does it's only for mailing with some friends/colleges.
So the mail was never public. And the name is fairly long and not generic, so it's not likely to "guess"...
Still, from day 1 i think, the mail is full of spam, and I mean really full (at least 10 spam/day, gets even to 100/day...
In short: a gmail account can get spam w/o ever being public...
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