20060912, 19:59  #1 
Feb 2004
France
3^{2}×103 Posts 
M44 poster.
Hello,
I propose to dedicate this thread to discussing which kind of poster could be proposed for M44. Discussion has started on Mersenne mailing list saying that it seems VERY difficult to print all digits of M44 on the poster so that it is still readable. Must we break down the current "Mersenne poster" process and propose a new solution ? Tony 
20060912, 20:06  #2 
Feb 2004
France
3^{2}×103 Posts 
Proposals 1), 2) and 3).
Since it is sad to need to read the notes at the bottom of the poster in order to know which number it is, I suggest 3 proposals :
1) Print only a reduced number of all the digits around the name (M44) and exact formula (2^32....1) of the number. 2) CHANGE THE BASE ! Why still using base 10 ? With base 16, there are only 8145665 characters (0..9A..F) With base 32, ................... 6516532 .............. (0..9A..V) With base 64, ................... 5430443 .............. (0..9A..ZGreekletters...) This way, it is still printable (but not easily understandable ...) 3) Forget the digits and print:  M44, 2^32....1,  the magic LLT theorem  the tree (with the 3 roots) and the number of cycles of length L dividing q1 built by the LLT  a picture of Mersenne monk, of E. Lucas, and of D. Lehmer,  the name and signatures of discoverers and of George, and maybe verifiers  the list of all previous Mersenne primes, plus "who discovered which and when".  a log graph showing the progression of Mersenne primes  a time graph showing when Mersenne primes appeared since the beginning. This way, people will stop asking me why I've bought a gray poster and if it is modern art !! tony 
20060912, 20:07  #3 
Sep 2004
5·37 Posts 
2) in hexadecimal ???
should be full of xFFFFF...FFF no? Last fiddled with by Phil MjX on 20060912 at 20:16 
20060912, 20:11  #4  
Jun 2005
2·191 Posts 
Quote:


20060912, 20:16  #5 
Jun 2003
5,387 Posts 
Thank goodness he didn't suggest binary or octal
Last fiddled with by axn on 20060912 at 20:16 
20060912, 20:21  #6 
Sep 2004
5·37 Posts 
binary is an excellent suggestion : one black dot for a one, a white for a zero and you obtain a BLACK poster whose area is exactly related to the mersenne number (depending on your printer dpi's)....

20060912, 20:26  #7 
"Jacob"
Sep 2006
Brussels, Belgium
2^{5}·3·19 Posts 
Why limit M44 to one poster ?
Spread the number and the explanation over 4 posters ! Or have wallpaper made with the number (it would not be an easy job to put it on the wall whithout leaving any part out :( 
20060912, 20:31  #8 
Aug 2002
20445_{8} Posts 

20060912, 20:32  #9 
"Nancy"
Aug 2002
Alexandria
100110100011_{2} Posts 
How about printing it in baseM44? That would leave plenty of space for explanations etc., and the layout could be reused for future primes with minimal modifications...
Alex 
20060912, 20:34  #10 
Jun 2003
5387_{10} Posts 

20060912, 20:38  #11 
Jul 2004
Potsdam, Germany
3·277 Posts 
Lately, I've seen it exactly the other way round (one: white; zero: black). It was on the backside of a huge flippage calendar!

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