20160922, 22:05  #1 
Dec 2011
After milion nines:)
1347_{10} Posts 
Primes as pictures
Lets say we have mega prime
So it can put in matrix of 1000*1000 pixels and then any of number in prime can be associated by another color. I look for solution where I can a: change size of matrix b change "color" of numbers as I wish Did you seen something like that on Net? 
20160922, 22:28  #2 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
21643_{8} Posts 
https://www.rstudio.com/wpcontent/u...cheatsheet.pdf
https://wiki.nbic.nl/index.php/R_ggplot2_tutorial or similar tools in python 
20160922, 22:38  #3 
Dec 2011
After milion nines:)
3×449 Posts 
Thanks!
I will now look at those links! 
20170721, 15:40  #4 
Random Account
Aug 2009
U.S.A.
2^{2}×401 Posts 
I did something similar to this a few years ago. The most recent prime, which I believe to be M74207281, has 22,338,618 digits. If one wanted a truly square image, then said image would need to be 4327 x 4327 pixels. I arrived at this by taking the square root of the number of digits, and rounding up. This probably coudn't be done on a screen, but I believe ti could be done in RAM then saved to a bitmap file. Using colors could be misleading. I would use grayscale. A value of 0 (zero) would be white, and 9 would be black. The values between could be represented by increasing the grayscale value by 25.

20170721, 17:02  #5 
Aug 2006
2·2,963 Posts 
I used something like this as my profile picture on mymathforum for many years.

20170721, 19:09  #6 
If I May
"Chris Halsall"
Sep 2002
Barbados
2×4,643 Posts 

20170722, 01:11  #7  
Random Account
Aug 2009
U.S.A.
2^{2}×401 Posts 
Quote:
Code:
0 = 250,250,250 1 = 225,225,225 2 = 200,200,200 3 = 175,175,175 4 = 150,150,150 5 = 125,125,125 6 = 100,100,100 7 = 50,50,50 8 = 25,25,25 9 = 0,0,0 It would depend on what type of monitor a person has in regards to being able to see the entire image, without some type of resampling. 

20170722, 04:42  #8 
Dec 2012
2·139 Posts 
I've been working on this as a side project for over a year. I'm having problems with R where lines that should overlap do not, and I can't figure out a way to correct that. The following images are intentionally in low resolution, because it does not meet my standards:
M49, base 10 M30, base 6 This is a common idea, but I got it specifically from Nadieh Bremer. I will point you to her wonderful blog for the explanation of these: https://www.visualcinnamon.com/portfolio/theartinpi (Her code has a few quirks and has trouble with large numbers, so I rewrote the bulk of it.) I also converted M49 to base 2^241 in order to have (almost) every colour in the 24bit colour space represent a digit. Here is that image (I cannot upload it to a hosting site because they compress large files): Google drive link 
20170722, 17:01  #9  
Random Account
Aug 2009
U.S.A.
1604_{10} Posts 
Quote:


20170723, 01:27  #10  
If I May
"Chris Halsall"
Sep 2002
Barbados
2×4,643 Posts 
Quote:
Amusingly, I remembered this previous work, and first searched using Google Images using the term "Prime Curve". This is the result I got back. And, of course, my girlfriend then immediately entered the room asking what I would like for dinner. Thankfully she has a good sense of humour, but I'm going to cook tonight.... 

20170723, 03:11  #11  
Dec 2012
426_{8} Posts 
Quote:
Quote:


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