M44 poster. - Page 2

T.Rex · 2006-09-12, 20:40

Quote:

Originally Posted by Phil MjX

2) in hexadecimal ???

should be full of xFFFFF...FFF no?

Oh yes ! I'm kind of stupid ! That's the same for bases 32 and 64 ! So we could use bases 17 or 31 !!!! Very nice !
Tony

ewmayer · 2006-09-12, 20:44

Here was my suggestion to Richard Crandall about this - I first suggested fixing the font and height and simply increasing the width (or going to a multi-panel deal) several years ago. Note that I think for sentimental and historical reasons people are going to always want a decimal printout. I know, mathematically speaking it's silly, but OTOH it does give one a visceral sense of the relative sizes of the record primes (at least if one keeps the font size constant).

-Ernst

Quote:

Hi, Richard:

Have you given any thought to my earlier suggestion to at some point (pardon the pun) fix the font, and from then on keep (say) height of the posters constant and simply increase the width as needed? Future Mersenne prime posters might someday need be stored as large scrolls - almost like sacred biblical texts. ;)

T.Rex · 2006-09-12, 20:45

Quote:

Originally Posted by Xyzzy

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

I like the idea ! Have you tried to compute the surface required for M44 ?
Hey ! they DO NOT have a Zero. Big problem !
T.

Phil MjX · 2006-09-12, 20:46

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

Harder ! express it in base M43 !!! 1 symbol to invent ! (but you'll have to change them it if M43 is in fact M44 or M45 and that would be embarassing....

)

1

should be ok...

T.Rex · 2006-09-12, 20:53

And what about my third proposal ?

Quote:

Originally Posted by T.Rex

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, 20:57

Quote:

Originally Posted by T.Rex

And what about my third proposal ?
Tony

I like the fact of seeing "concretely" a part of infinity (i.e. the largest known prime) as I would like to see a deep sky map, covered with stars and galaxies...
Maybe coloured fonts (six colors, decimal output = sexagesimal) would be nice...

axn · 2006-09-12, 21:01

Quote:

Originally Posted by T.Rex

Oh yes ! I'm kind of stupid ! That's the same for bases 32 and 64 ! So we could use bases 17 or 31 !!!! Very nice !
Tony

31 is good. 28 is perfect

T.Rex · 2006-09-12, 21:04

Quote:

Originally Posted by Phil MjX

Maybe coloured fonts (six colors, decimal output = sexagesimal) would be nice...

Oh yes! Colors !!!
T.

Uncwilly · 2006-09-12, 21:07

Base 62 is easy and relatable: 0,1...9,A,B..Z,a,b..z
Just the need for a font that make 0,O and 1,l clear would be important.

It would prevent from resorting to symbols, like % ^ & # [ \

Why not in hyroglyphs?

Phil MjX · 2006-09-12, 21:07

Quote:

Originally Posted by axn1

31 is good. 28 is perfect

220 and 284 are also friendly.... (but they shouldn't be called so...)

Primeinator · 2006-09-12, 21:33

I agree with ewmayer, or think that his idea is the best. Although much of the additional information that Tony brought up would be a nice addition to the posters, I think that people will (like ewmayer said) always want a decimal expansion of the number. Since the poster space is limited, keep the font size constant, but just lengthen or widen the poster as needed for each new prime.

2006-09-12, 21:07	#20
Uncwilly 6809 > 6502 """"""""""""""""""" Aug 2003 101×103 Posts 2³×1,223 Posts	Base 62 is easy and relatable: 0,1...9,A,B..Z,a,b..z Just the need for a font that make 0,O and 1,l clear would be important. It would prevent from resorting to symbols, like % ^ & # [ \ Why not in hyroglyphs? Last fiddled with by Uncwilly on 2006-09-12 at 21:11

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2006-09-12, 21:33	#22
Primeinator "Kyle" Feb 2005 Somewhere near M52.. 3×5×61 Posts	I agree with ewmayer, or think that his idea is the best. Although much of the additional information that Tony brought up would be a nice addition to the posters, I think that people will (like ewmayer said) always want a decimal expansion of the number. Since the poster space is limited, keep the font size constant, but just lengthen or widen the poster as needed for each new prime.