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Interesting finding about PI and scientific constants


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#1 theodorenghiem

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Posted 20 April 2017 - 12:27 PM

Dear all,

 

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 (See the string in BOLD)

 

·         85236194426736533892035293381796879434588513096544808259521653348853314258590660527010020998130498690661069867723414515021618033218172517802616380355080061151485165018703481386496623229835504747481403

Where

1.618033  ~ golden ratio to be used in design, painting, and architecture etc.

(Source: http://mathworld.wolfram.com)

·         96685196391413997448756843434713683467684405191628302400411300444463543904105050551088502982716308576980991021240051192505245400533996852921477011645488697170458489815728942231323809045241271828309703

Where

2.71828 ~ Euler’s number

(Source: http://mathworld.wolfram.com)

·         42418316129787393244798498349610314002739639418622623492139400688701330038857369897639683856722411572475207203447744724370976474297127526070665511577919477138667408363547467649387788800049461595697608

Where

6.67408 ~ constant of gravitation

(Source: http://physics.nist.gov)

·         0516553790686627333799585115625784322988273723198987571415957811196358330059408730681216028764962867

Where 8.987 ~ Coulomb constant in electrostatic

(Source: http://scienceworld....ram.com/physics)

·         9386128894440412613786249523444947505596522332025294451178219959213450685005376828854182268925755038

Where 8.85418 ~ electric constant (Or Vacuum permittivity)

(Source: http://physics.nist.gov)

·         6818843187021953946745788068387330450266993482047409308509529400887069518186325483548249662607066502

Where 6.626070 ~ Planck constant

(Source: http://physics.nist.gov)

·         1908021458055350953241324036224334117794355382888601011516021766306897099412973119095150917160058845

Where 1.6021766 ~ elementary charge (Charge of electron)

(Source: http://physics.nist.gov)

·         4422845118273209748513571044742385749109383133850655948526797212711896813103833449229778166368094302

Where 9.109383 ~ electron mass

(Source: http://physics.nist.gov)

·         9589217885429733331100886707221516688335762492009010311009976090980665252668644423844360766963859177

Where 9.80665 ~ acceleration of gravity

(Source: http://physics.nist.gov)

·         6267712886022140859278535537337471953589903987579336102194906780894369912982198261645474805859604149

Where 6.02214085 ~ Avogadro constant

(Source: http://physics.nist.gov)

·         7195452860809748682548745244590362604731380648393797344681866249700721554710601935002386483893437562

Where 1.380648 ~ Boltzmann constant

(Source: http://physics.nist.gov)

·         5292492422161329574504065382201672623986186616485814342988831519203159057960073366305926447801768242

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


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#2 koti

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Posted 20 April 2017 - 01:26 PM

The probability of finding a few digit number in a string of 10mln digits is huge. It would be odd if the numbers you found would not be there - you'd actually have my attention then.

Edited by koti, 20 April 2017 - 01:30 PM.

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#3 Lord Antares

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Posted 20 April 2017 - 01:30 PM

Yes, exactly.
10 million digits is enormous and there are bound to be coincidental correspondences with "significant" numbers. I am sure you could find your (or someone's close to you) birth date and year in there. This doesn't mean anything, it is a basic coincidence.
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#4 Sensei

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Posted 20 April 2017 - 01:32 PM

In infinitly long, random, not repeatable, sequence of digits, sooner or later you will find the all possible combinations of digits.

 

1.67*10^-27 kg is mass of proton only in kg as unit.

In electron volts, it's 938.272 MeV/c^2

 

So the same with the all other physical constants.

They can be converted to completely different units.


Edited by Sensei, 20 April 2017 - 01:33 PM.

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#5 imatfaal

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Posted 20 April 2017 - 01:38 PM

One can (and I have) buy a t-shirt with the portion of pi with one's birthday highlighted

 

pidayImageWeb2.jpg

 

 


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there shallow draughts intoxicate the brain, and drinking largely sobers us again.

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feel free to click the green arrow  ---->

 


#6 koti

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Posted 20 April 2017 - 02:56 PM

One can (and I have) buy a t-shirt with the portion of pi with one's birthday highlighted
 
pidayImageWeb2.jpg
 
 


Phew, you're 3 years older than me ;)

My birthday comes up 12 times in those 10mln digits from the link in the OP.


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#7 Strange

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Posted 20 April 2017 - 04:58 PM

In infinitly long, random, not repeatable, sequence of digits, sooner or later you will find the all possible combinations of digits.

 

 

Although we don't actually know if that is true of Pi, as we don't know if it is normal or not.


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#8 Bender

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Posted 20 April 2017 - 07:22 PM

In 10 million random digits, there are almost 10 million strings of six digits. There are only one million such strings, so any string is expected to show up about 10 times, as illustrated by koti.

On average, strings of seven digits occur only once, but for individual strings, that is not a certainty. As expected, about half the constants searched have six digits, and about half have more.
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#9 theodorenghiem

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Posted 21 April 2017 - 11:58 AM

Originally, I also had the same thinking like yours by considering it as coincident. However I replaced PI with other 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


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#10 imatfaal

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Posted 21 April 2017 - 12:19 PM

Originally, I also had the same thinking like yours by considering it as coincident. However I replaced PI with other 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

 

The numeric string 010271 appears at the 1,135,207th decimal digit of E

 

The numeric string 3141593 appears at the 7,550,758th decimal digit of E

 

The numeric string 667408 appears at the 1,984,196th decimal digit of E.

 

The numeric string 167262 appears at the 5,185,365th decimal digit of E.

 

I call shenanigans - my birthday, Pi, G, and M_p all in first 10,000,000 digits of Euler's


 

 

for 8 digits you need more patience

 

The numeric string 01021971 appears at the 32,524,228th decimal digit of the Square Root of 2

 

The numeric string 31415927 appears at the 22,527,250 decimal digit of the Square Root of 2.

 

No point in doing G as we are only sure to one (ish) part in 10thousand

 

The numeric string 16726219 appears at the 36,596,663rd decimal digit of the Square Root of 2.


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A little learning is a dangerous thing; drink deep, or taste not the Pierian spring:
there shallow draughts intoxicate the brain, and drinking largely sobers us again.

- Alexander Pope

 

feel free to click the green arrow  ---->

 





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