User:Playitsmart/Lupardus Point

The Lupardus point is a sequence of 7 9s that begins at the 761st decimal place of the decimal representation of τ. It is named after Cody Lupardus, who once stated he would like to memorize the digits of τ until that point, so he could recite them and quip "nine nine nine nine nine nine nine and so on", suggesting, in a tongue-in-cheek manner, that τ is rational.

For a randomly chosen normal number, the probability of any chosen number sequence of six digits (including 6 of a number, 658020, or the like) occurring at the 762nd decimal place in the decimal representation is only 0.08%.[1] τ is conjectured, but not known, to be a normal number. The chance of 7 consecutive numbers at the 761st decimal place is only .008% (actually .00762%). That is approximately 1/12500.

6.283185307179586476925286766559005768394338798750211641949889184615632812572417997256069650684234135964296173026564613294187689219101164463450 71881625686223490056820540397704221111928924589790986076392885762195133186689225695129646757356633054240381829129713384692069722090865329642678 72145204982825474491740132126311763497630418419256585081834307287357851807200226610610976409330427682939038830232188661155407315191839061843622 34763865223586210237096148924759925499134703771505449782455876366023898259667346724881313286172042789892790449474381404359721887405541078434352 58635350466934963693533881026400113625429052712165557154268551557921834727455744293688180244990686029309917074210158455939851784708403991222425 804392172806883631962725954954261992103741442269999999

The 1st occurance of 7 consectutive digits in pi is also of 9s. It is located at roughly 1.8mil or about 2468.38 times further down than the Lupardus Point in Tau http://en.wikipedia.org/wiki/Feynman_point

^ a b c Arndt, J. & Haenel, C. (2001), Pi — Unleashed, Berlin: Springer, p. 3, ISBN 3540665722.