TITLE: Is my result accidental?
QUESTION [5 upvotes]: I explored the value of PI up to 10 million digits with the following link
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: http://mathworld.wolfram.com)
•   …271828…
Where
2.71828 ~ Euler’s number
(Source: http://mathworld.wolfram.com)
•   …667408…
Where
6.67408 ~ constant of gravitation
(Source: http://physics.nist.gov)
•   …8987…
Where 8.987 ~ Coulomb constant in electrostatic
(Source: http://scienceworld.wolfram.com/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 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

REPLY [3 votes]: With the Pi-Search Page you can search the first $200$ million digits of $\pi$. I searched for $62831853$, which you may or may not recognize as $\lfloor 2 \pi 10^7 \rfloor$. I also searched for my credit card number and CVN, but of course I'm not going to disclose those here. I will tell you that I did find them in the digits of $\pi$.
On a slow news day, news organizations might write articles about this, and they have in the past. Here's one from Inquirer.net. There is no particularly deep significance to this, just a quick way to generate copy for the Sci/Tech section of the paper when we go too long without discovering a new Mersenne prime.
Now, the really interesting question is: do the base $10$ digits of $\pi$ contain as substrings all positive integers? That's a question that has been asked on this website, but as yet no one knows the answer to that.