qt(333/106) and qt(355/113) are closer approximations anyway, with 4 and 6 decimal digits of precision, respectively.

There’s also 22/7, which is slightly more precise than 3.14 alone, but if you ask me, the first two nines which appear in pi lend themselves to a nice rhythm in English that are easily worked into a sing-sing mnemonic that keeps up until the “79” after the 12th decimal, when that falls apart and you have to memorize a whole lot more digits in order to get any sort of pattern.