Stairway Constants, π\piNEWS

Originally published in mathNEWS v148i5 on . Reposted .

Two years ago in 2020 (before the pandemic!), I wrote about the computation of π\pi in Stairway Constants. At the time, the most digits of π\pi that anyone had computed was 5050 trillion, set by Timothy Mullican earlier that year. Even using what was essentially a personal data center, it took about ten months of full-time computation to get the job done. However, the amazing feat came with a disappointment: the previous record held by Emma Haruka Iwao of π×1013=31,415,926,535,897\floor{\pi \times 10^{13}} = 31{,}415{,}926{,}535{,}897 digits was replaced by a less exciting number.

We can rejoice now, because there is a new adorable record in town! Last August, a team at the University of Applied Sciences of Eastern Switzerland finished computing π\pi to τ×1013=62,831,853,071,796\floor{\tau \times 10^{13}} = 62{,}831{,}853{,}071{,}796 digits. This Monday marks the first Pi Day since.

While this is a new adorable record, purists might note the use of τ\tau here. If that bothers you, you are welcome to build your own supercomputer to try replacing it with any of these next records:

  • The “Is that a group theory reference?”: 64,561,751,654,40064{,}561{,}751{,}654{,}4001
  • The Very Loud: π!×1013=Γ(π+1)×1013=71,880,827,289,760\floor{\pi! \times 10^{13}} = \floor{\Gamma(\pi+1) \times 10^{13}} = 71{,}880{,}827{,}289{,}760
  • The Hyperinflation: π28=83,214,007,069,229\floor{\pi^{28}} = 83{,}214{,}007{,}069{,}229
  • The Pie: πe×1013=85,973,422,267,356\floor{\pi e \times 10^{13}} = 85{,}973{,}422{,}267{,}356
  • The Compromise: 3π×1013=94,247,779,607,693\floor{3 \pi \times 10^{13}} = 94{,}247{,}779{,}607{,}693
  • The Feynman: 9.99999×1013=99,999,900,000,0009.99999 \times 10^{13} = 99{,}999{,}900{,}000{,}000
  • The Immeasurable Disappointment: 100100 trillion
  • The Overachiever: πππ=1,340,164,183,006,357,435\floor{\pi^{\pi^\pi}} = 1{,}340{,}164{,}183{,}006{,}357{,}435

Let me know when you finish, I look forward to writing about it in mathNEWS 157.5.

Exercise: celebrate Pi Day by throwing a pie at your local τ\tau supporter!

Footnotes