Around the year of 977, the clan was given the surname of Miyoshi Ason, and among the members of the clan, Shigeaki MIYOSHI was appointed as Shuzeiryo (a position in Bureau of Taxation) in addition to Sanhakase (a position with responsibility for teaching mathematics and looking after mathematicians), the position that his descendants inherited for generations.
貞元(日本)2年（977年）頃に三善朝臣の姓が授けられ、その1人であった三善茂明が主税寮兼算博士に就任し、その子孫は代々算博士を継いだ。