M44 poster.

T.Rex · 2006-09-12, 19:59

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

T.Rex · 2006-09-12, 20:06

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 q-1 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

Phil MjX · 2006-09-12, 20:07

2) in hexadecimal ???

should be full of xFFFFF...FFF no?

drew · 2006-09-12, 20:11

Quote:

Originally Posted by T.Rex

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 ...)

Any of your suggested bases would make for a very boring poster.

axn · 2006-09-12, 20:16

Quote:

Originally Posted by Phil MjX

2) in hexadecimal ???

Thank goodness he didn't suggest binary or octal

Phil MjX · 2006-09-12, 20:21

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)....

S485122 · 2006-09-12, 20:26

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 :-(

Xyzzy · 2006-09-12, 20:31

http://en.wikipedia.org/wiki/Sexagesimal

akruppa · 2006-09-12, 20:32

How about printing it in base-M44? That would leave plenty of space for explanations etc., and the layout could be re-used for future primes with minimal modifications...

Alex

axn · 2006-09-12, 20:34

Quote:

Originally Posted by akruppa

How about printing it in base-M44? That would leave plenty of space for explanations etc., and the layout could be re-used for future primes with minimal modifications...

Alex

There are 10 kinds of people in this world...

Mystwalker · 2006-09-12, 20:38

Quote:

Originally Posted by Phil MjX

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)....

Lately, I've seen it exactly the other way round (one: white; zero: black). It was on the back-side of a huge flip-page calendar!

2006-09-12, 19:59	#1
T.Rex Feb 2004 France 3×311 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

2006-09-12, 20:06	#2
T.Rex Feb 2004 France 3·311 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 q-1 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

2006-09-12, 20:07	#3
Phil MjX Sep 2004 5×37 Posts	2) in hexadecimal ??? should be full of xFFFFF...FFF no? Last fiddled with by Phil MjX on 2006-09-12 at 20:16

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2006-09-12, 20:21	#6
Phil MjX Sep 2004 271₈ 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)....

2006-09-12, 20:26	#7
S485122 "Jacob" Sep 2006 Brussels, Belgium 11×173 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 :-(

2006-09-12, 20:31	#8
Xyzzy Aug 2002 2×7×13×47 Posts	http://en.wikipedia.org/wiki/Sexagesimal

2006-09-12, 20:32	#9
akruppa "Nancy" Aug 2002 Alexandria 2,467 Posts	How about printing it in base-M44? That would leave plenty of space for explanations etc., and the layout could be re-used for future primes with minimal modifications... Alex