From a quick CVE search, less than 1,200 bugs ( https://cve.mitre.org/cgi-bin/cvekey.cgi?keyword=adobe+flash ).
For practical purposes, ~Aleph-nought.
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Over 300 Flash bugs were discovered (and fixed) in 2015 alone:
https://www.gsmarena.com/over_300_flash_bugs_were_discovered...