April 20th, 2017, 05:00 AM  #1 
Newbie Joined: Aug 2016 From: Auckland Posts: 10 Thanks: 1  Interesting finding about pi and scientific constants
Dear all, I explored the value of pi up to 10 million digits with the following link Pi  10 Million Digits @ http://Pi.Karmona.com From here, I realized that it included many scientific constants. Below are some examples • …1618033… Where 1.618033 ~ golden ratio to be used in design, painting, and architecture etc. (Source: Wolfram MathWorld: The Web's Most Extensive Mathematics Resource) • …271828… Where 2.71828 ~ Euler’s number (Source: Wolfram MathWorld: The Web's Most Extensive Mathematics Resource) • …667408… Where 6.67408 ~ constant of gravitation (Source: http://physics.nist.gov) • …8987… Where 8.987 ~ Coulomb constant in electrostatic (Source: Eric Weisstein's World of Physics) • …885418… Where 8.85418 ~ electric constant (Or Vacuum permittivity) (Source: http://physics.nist.gov) • …6626070… Where 6.626070 ~ Planck constant (Source: http://physics.nist.gov) • …16021766… Where 1.6021766 ~ elementary charge (Charge of electron) (Source: http://physics.nist.gov) • …9109383… Where 9.109383 ~ electron mass (Source: http://physics.nist.gov) • …980665… Where 9.80665 ~ acceleration of gravity (Source: http://physics.nist.gov) • …602214085… Where 6.02214085 ~ Avogadro constant (Source: http://physics.nist.gov) • …1380648… Where 1.380648 ~ Boltzmann constant (Source: http://physics.nist.gov) • …167262… Where 1.67262 ~ Proton mass (Source: http://physics.nist.gov) And maybe there are more cases. I wonder whether this interesting finding is only accidental, or there is any implicit rule here. Any feedback or discussion can be sent to theodorenghiem@yahoo.co.nz It’s nice if you can share my article in social media for more opinions Thinh Nghiem Last edited by skipjack; April 21st, 2017 at 05:23 AM. 
April 20th, 2017, 05:20 AM  #2 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 9,065 Thanks: 621 
You didn't find your ddmmyyyy birth date?!

April 20th, 2017, 10:29 AM  #3 
Senior Member Joined: Sep 2015 From: CA Posts: 1,206 Thanks: 614 
if you reduce those constants to the first 8 or so digits, then of course you can find those small strings of digits within the infinite digits of pi. What you can't do, is find their actual infinite digit representation as a substring of the digits of pi. Last edited by skipjack; April 21st, 2017 at 05:25 AM. 
April 20th, 2017, 12:58 PM  #4 
Senior Member Joined: Feb 2010 Posts: 610 Thanks: 93 
Go to this site: http://www.angio.net/pi/piquery I typed in today's date April 20, 2017 as 04202017. It came back that this string of digits 04202017 first appears at the 62,881,977th place after the decimal point in pi and that this string occurs twice in the first 200 million digits of pi. A dyslexic friend typed this string 49913913 into the site and thought he saw applepie. 
April 21st, 2017, 04:15 AM  #5 
Newbie Joined: Aug 2016 From: Auckland Posts: 10 Thanks: 1 
Originally, I also had the same thinking like yours by considering it as coincidence. However, I replaced pi with another irrational number, such as Euler number or golden ratio, and replicated all above testing. This time, these values above could not be found with up to 5 or 6 digits like the result with pi. So I declare that this is pi's secret that needs to be investigated more. Last edited by skipjack; April 21st, 2017 at 05:26 AM. 
April 21st, 2017, 05:56 AM  #6  
Math Team Joined: May 2013 From: The Astral plane Posts: 1,555 Thanks: 597 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
Dan  
April 21st, 2017, 06:37 AM  #7 
Global Moderator Joined: Dec 2006 Posts: 16,944 Thanks: 1255 
Finding particular 6digit sequences amongst 10 million is hardly surprising, as one would find some amongst just one million. Using 2 million digits of e, I found 161803, 141592 (twice), 898755, 885418 (3 times), 662607 (twice), 160217, MMDDYY (my date of birth), 602214 (3 times), 160217, 13806 (15 times) and 861733 (twice) (Boltzmann constant in two different units), etc. All but two of your examples were limited to 6 or 7 digits.

April 21st, 2017, 06:39 AM  #8  
Senior Member Joined: Aug 2012 Posts: 1,254 Thanks: 293  Quote:
 
April 21st, 2017, 06:48 AM  #9 
Math Team Joined: Dec 2013 From: Colombia Posts: 6,700 Thanks: 2177 Math Focus: Mainly analysis and algebra  
April 21st, 2017, 09:05 AM  #10  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 9,065 Thanks: 621  Quote:
Wish you nonMASCHKEist would quit picking on my great^n grandfather, where n = quite a few generations ago...  

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