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#1 2011-11-08 04:48:18

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

e

Wikipedia wrote:

Google was also responsible for a billboard that appeared in the heart of Silicon Valley, and later in Cambridge, Massachusetts; Seattle, Washington; and Austin, Texas. It read {first 10-digit prime found in consecutive digits of e}.com (now defunct). Solving this problem and visiting the advertised web site led to an even more difficult problem to solve, which in turn led to Google Labs where the visitor was invited to submit a resume.

Here is the billboard:

http://media.npr.org/programs/morning/f … _large.jpg

Second time this has happened. Look at those cities, Silicon valley, Cambridge, Seattle, Austin? Hah! Everyone knows the greatest and most bombastic computational minds reside in Vegas! So what is with that choice of cities? Seattle, Bill's headquarters, if ever there was a vacuum of intellect surely it is there. Cambridge? Too much pipe smoke! Silicon valley? Too busy trying to find ways to spy on people. Austin? What the heck goes on there?

Excerpt says if you solve that problem...

FromDigits[#]&/@Partition[RealDigits[E-2,10,1000]//First,10,1];

Position[PrimeQ[%],True]

Well folks that is the earth shattering code that gets you into Google's waiting room. Glad I use Firefox. Oh wait, it says " an even tougher problem," bore, yawn, snore!

How about the first 100 digit prime? It is found at position 346 and is ( drum roll )

2976067371132007093287091274437470472306969772093101416928368190255151086574637721112523897844250569

That ought to get me into Los Alamos.

Update: It did not! Maybe the first 200th digit prime...


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#2 2011-11-12 08:43:39

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,562

Re: e

do you have matlab, mathematica, or self-made tools from C/C++, or other?


igloo myrtilles fourmis

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#3 2011-11-12 10:09:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: e

Hi John;

All of them from time to time. My opinion of software is that you need 3 programs for each task
because no program can entirely do it. Also in mathematics it is useful to check an answer by using different programs.

Currently I am playing with geogebra.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#4 2011-11-14 16:57:23

reconsideryouranswer
Member
Registered: 2011-05-11
Posts: 172

Re: e

bobbym wrote:

How about the first 100 digit prime? It is found at position 346 and is ( drum roll )

2976067371132007093287091274437470472306969772093101416928368190255
15108657463772111252 3897844250569

Your display of the digits of the prime number got cut off.

Last edited by reconsideryouranswer (2011-11-14 16:58:52)


Signature line:

I wish a had a more interesting signature line.

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#5 2011-11-14 17:47:43

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: e

Not on my browser, the last 3 are 569.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#6 2011-11-14 18:12:12

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: e

bobbym wrote:

My opinion of software is that you need 3 programs for each task
because no program can entirely do it.

This is true generally, and I wish every computer program was written with that idea.

Why does most software assume it rules the world?

How many times a day do I save something from one program, open another program, go find the saved file (C:, choose folder, choose another folder, sort by date, find file), then process it a bit more, then save that somewhere else, etc..

In a workshop you just pick up another tool and use it on the object in front of you, but in the software world you always have to load a tool and then get it to find the object.

(end rant)


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#7 2011-11-14 18:33:03

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: e

Why does most software assume it rules the world?

Begin Mo-rant:

Good point! Take Mathematica and Maple for instance. Why do they assume that
mathematics ends with their programs? I know they are competitors but if they would only take the attitude
of thinking about the user above all else. Why are their notebooks and worksheets so
different that you can not even paste and copy an answer from one to another?
Every user knows neither of them can do it all, how come they do not?

End Mo-rant:

My pet peeve: You navigate to some folder because that folder has everything you
want at the moment. You close the program down and open and navigate again. Do
you start in the folder you just were in? Nope, 2 / 3 of the software in the world puts you
back in My Documents every time. I do not even use that folder!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#8 2014-06-05 05:27:12

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,173
Website

Re: e

Why does most software assume it rules the world?

Free software does not!

My opinion of software is that you need 3 programs for each task
because no program can entirely do it.

My feelings too!


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#9 2014-06-05 05:37:26

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,173
Website

Re: e

It is possible that the whole thing is a troll and there is no #-digit prime number in the digits of e? &


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#10 2014-06-05 06:21:05

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: e

You should know the answer to that one.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#11 2014-06-05 06:26:37

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,173
Website

Re: e

I do not.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#12 2014-06-05 06:29:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: e

You did not run the code?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#13 2014-06-05 06:32:28

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,173
Website

Re: e

Not yet.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#14 2014-06-05 06:34:49

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: e

When you do you will see and can verify easily the first one.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#15 2014-06-05 18:27:43

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,173
Website

Re: e


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#16 2014-06-05 19:03:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: e

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#17 2014-06-05 19:38:52

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,173
Website

Re: e

What is the smallest value of n such that there is no n-digit prime in the consecutive digits of e?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#18 2014-06-06 20:37:35

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,173
Website

Re: e

I posted this problem on Brilliant: https://brilliant.org/community-problem … l8nARvyErF

Got 55 solvers, so far.

Calvin featured the problem in his set: https://brilliant.org/profile/calvin-8u … lenges-10/

It has also inspired other members to make similar problems: https://brilliant.org/community-problem … 2xoj76HJcf


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#19 2014-06-06 20:38:57

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: e

That is very good.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#20 2014-06-06 20:48:12

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,173
Website

Re: e

I thought you were going to be become very angry at me.

Thaddeus Abiy wrote:

Wow!It is amazing how mathematica renders these types of problems trivial. That Stephen Wolfram guy is to be commended. Anways,in other languages,we will have to try to implement something similar to what goes on under the hood in Mathematica.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#21 2014-06-06 20:52:45

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: e

I thought you were going to be become very angry at me.

Why is that?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#22 2014-06-06 23:46:04

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,173
Website

Re: e

For posting the question on Brilliant


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#23 2014-06-07 00:18:13

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: e

Is there something you are not telling me?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#24 2014-06-07 01:01:50

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,173
Website

Re: e

I don't think so. Why?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#25 2014-06-07 02:11:43

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: e

Did you post my code?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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