Same here. When I was a kid in school, we all had those TI-89 calculator that one could program using Basic. When first introduced to Pi and the concept of irrational numbers, I made a script to find close matches. 355/113 was the closest I got with the slow calculator and my (most probably) very slow code.
I used an electronic calculator, so I had some superhuman help, and I discovered it several centuries after it was truly discovered.
But this is still a good memory for me, and for this reason I remember the ratio 355/113 better than I remember 22/7.