HDTenEightyP/NetNews huggingface dataset:
From: bs@gauss.mitre.org (Robert D. Silverman)
Newsgroups: sci.math
Subject: Re: An elementary, "naturally occurring" problem
Date: 1 Apr 92 20:17:33 GMT
Article-I.D.: linus.1992Apr1.201733.25777
Organization: Research Computer Facility, MITRE Corporation, Bedford, MA

In article <1992Apr1.183035.14916@Princeton.EDU> carabalo@phoenix.Princeton.EDU (David G. Caraballo) writes:
:The following problem and more general analogs in 2 or more dimensions have
:occurred more than once (in some form) during the course of my research.  The
:problem is elementary, but I found it interesting that problems of this type
:kept occurring "naturally".  Here's the simplest example:
:
:Prove or disprove that there exists a bijection f:[0,1] -> [0,1] that is
:not continuous at any point. 
 
Doesn't the following function do it?

f(x) = 1-x  if x is irrational.
f(x) = x if x is rational.

--
Bob Silverman
These are my opinions and not MITRE's.
Mitre Corporation, Bedford, MA 01730
"You can lead a horse's ass to knowledge, but you can't make him think"
From: smith@gramian.harvard.edu (Steven Smith)
Newsgroups: sci.math
Subject: Re: factoid about new prime
Date: 8 Apr 92 14:47:04 GMT
Article-I.D.: gramian.SMITH.92Apr8094704
	<1992Apr1.201324.25572@linus.mitre.org>
	<SMITH.92Apr7102215@gramian.harvard.edu> <57048@cup.portal.com>
Organization: Harvard Robotics Lab, Harvard University

In article <57048@cup.portal.com> ts@cup.portal.com (Tim W Smith) writes:

> > > This is a (slight) exaggeration. 756839/216091 = 3.5024 times as big.
> > 
> > Pardon me, but
> > 
> >                756839
> >               2       - 1                                          162781
> >               -----------  ~=  2.33397019895780128135136676956 x 10
> >                216091
> >               2       - 1
> >
> >which is larger than four.  It appears that CNN was conservative in
> >their report.
> 
> No, the *value* of the new prime is 2.3E162781 times the *value* of the old
> one.  The size is 3.5 times.  It would take 3.5 times as much space to
> write it.

This remains a (silly) semantical argument.  If someone on the street
offered you $10 for $99 because they are the same size in digits,
would you accept?

Steven Smith
Newsgroups: sci.math
From: poynor@wheaton.edu (George V. Poynor)
Subject: Re: Fermat's Last Theorem
Organization: Wheaton College
Date: Thu, 9 Apr 1992 16:24:30 GMT

In article <1992Apr7.051902.4889@rata.vuw.ac.nz> harper@kauri.vuw.ac.nz (John Harper) writes:
> >Pardon my ignorance. Who is this Erdos dude?
>Several people have been abusing one another instead of answering the
>question. Paul Erdos is a very famous Hungarian mathematician (aged around
>80 I'd guess) who occasionally offers cash prizes of a few hundred dollars
>for solutions to problems that he hasn't solved himself and that interest him.
>The problems I have seen are HARD and are on combinatorics and number theory.
>
>John Harper Mathematics Dept. Victoria University Wellington New Zealand

	If an enquirer hasn't heard of Erdos, it might also be
        that (s)he doesn't know how to pronounce it: Ur'dish.


-- 
------------------------------------------------------------------------------
George V. Poynor       |    UUCP:  poynor@wheaton.wheaton.edu
Wheaton College        |   Voice:  (708) 260-5019 (Office)
------------------------------------------------------------------------------
Newsgroups: sci.math
From: gerry@macadam.mpce.mq.edu.au (Gerry Myerson)
Subject: Re: An elementary, "naturally occurring" problem
Organization: ceNTRe for Number Theory Research
Date: Fri, 10 Apr 92 00:09:21 GMT

In article <1992Apr9.201215.1319@wdl.loral.com>, mab@wdl39.wdl.loral.com (Mark A Biggar) writes:

[...]
> Question: is it possible to partition the interval [0,1] into a finite
> number of uncountable sets that are all dense on the interval [0,1]?
> If so, can you give a rule to determine partition membership?
> 
> --
> Mark Biggar
> mab@wdl1.wdl.loral.com

Let A be the set of all x whose decimal expansion has only even digits from 
some point on. Then A and its complement are uncountable and dense. The 
generalization to any finite number of uncountable dense sets is clear. 

Gerry Myerson

Newsgroups: sci.math
From: dap@vpharm.com (David A. Pearlman)
Subject: Looking for a formula
Organization: Vertex Pharmaceuticals, Inc.
Date: Wed, 15 Apr 1992 14:32:34 GMT

Hi:

I'm looking for a formula for the following:

Assume you have rotation at a fixed radius R of a point about an axis
whose position is fixed in space. For a given position {x,y,z} of the rotating
point, I am trying to determine the cartesian
derivatives of that point with respect to rotation of the axis, i.e.
d{x,y,z}/d(phi), where "phi" is the rotation angle for the axis.


Does anyone happen to know the answer?

Thanks.

dap
-- 
===============================================================================
    David A. Pearlman

Vertex Pharmaceuticals Inc.                     email: dap@vpharm.com
From: arndt@c3consult.comm.se (Arndt Jonasson)
Newsgroups: sci.math
Subject: Paul Erdos
Date: 13 Apr 92 14:34:33 GMT
	<STROMME.92Apr6130830@jeeves.math.utah.edu>
	<sundquis.702591357@s6.math.umn.edu>
	<1992Apr7.051902.4889@rata.vuw.ac.nz>
Organization: Communicator C3Consult AB


> >Pardon my ignorance. Who is this Erdos dude?
>Several people have been abusing one another instead of answering the
>question. Paul Erdos is a very famous Hungarian mathematician (aged around
>80 I'd guess) who occasionally offers cash prizes of a few hundred dollars
>for solutions to problems that he hasn't solved himself and that interest him.
>The problems I have seen are HARD and are on combinatorics and number theory.

Since no one else did: let me just add that the correct spelling of
his name isn't "Erdos", but since the proper glyph doesn't have an
ASCII representation (nor an ISO Latin-1 one), "Erdos" will have to do
in many circumstances. The proper spelling has two "grave accents" on
top of the 'o'. I think (but am not certain) it would be "Erd\Hos" in
TeX. TeX's \"o (which does exist in ISO Latin-1) is a separate letter
in Hungarian, so using that isn't correct either. Pronunciation?
Something not very close to "Airdersh" (second syllable long).

            //
      E R D O S

Does anyone have a machine-readable list of Erdos's unsolved problems
(and solved, for that matter, if there are any)?
--
Arndt Jonasson				Communicator C3Consult AB
arndt@c3consult.comm.se
From: lgardner@mac.cc.macalstr.edu
Newsgroups: sci.math
Subject: Re: Paul Erdos [correction]
Date: 16 Apr 92 01:15:53 GMT
Article-I.D.: mac.1992Apr15.191553.2479
Organization: Macalester College

In article <ARNDT.92Apr14122042@julius.c3consult.comm.se>, arndt@c3consult.comm.se (Arndt Jonasson) writes:
> 	<STROMME.92Apr6130830@jeeves.math.utah.edu>
> 	<sundquis.702591357@s6.math.umn.edu>
> 	<1992Apr7.051902.4889@rata.vuw.ac.nz>
> 	<ARNDT.92Apr13153433@napoleon.c3consult.comm.se>
> Sender: news@c3consult.comm.se
> Organization: Communicator C3Consult AB
> Lines: 15
> In-Reply-To: arndt@c3consult.comm.se's message of Mon, 13 Apr 1992 14: 34:33 GMT
> 
> 
> 
> I recently posted a piece of misinformation in stating that Paul
> Erdos's name is rightly spelled with "two grave accents". It should
> have been "two acute accents", i.e. the picture below is correct.
> Thanks to John Harper for pointing out the discrepancy.
> 
>                //
>          E R D O S
> 
> [... Second rule of fast proofreading: only read through the parts
> which you know you got right - that's where the mistakes are ...]


Also his first name is not Paul, technically but :
     /
   PAL   (the accent is on the a)

If we want to use the correct Hungarian translation.  I'm just being picky.

> --
> Arndt Jonasson				Communicator C3Consult AB
> arndt@c3consult.comm.se


Lisa
Newsgroups: sci.math
From: rchang@cs.cornell.edu (David Renpan Chang)
Subject: computational topology
Organization: Cornell University, CS Dept., Ithaca, NY
Date: Fri, 17 Apr 1992 03:46:15 GMT


Could anyone point to me any old and recent work on computational topology and
computational algebraic topology?

Email to me would be preferrable.

Thanks in advance,

-David Chang
Newsgroups: sci.math
From: michaelg@Xenon.Stanford.EDU (Michael Greenwald)
Subject: Re: An elementary, "naturally occurring" problem
Organization: CS Department, Stanford University, California, USA
Date:  6 Apr 92 23:16:07 GMT

bs@gauss.mitre.org (Robert D. Silverman) writes:

>In article <1992Apr1.183035.14916@Princeton.EDU> carabalo@phoenix.Princeton.EDU (David G. Caraballo) writes:
>:Prove or disprove that there exists a bijection f:[0,1] -> [0,1] that is
>:not continuous at any point. 
> 
>Doesn't the following function do it?

>f(x) = 1-x  if x is irrational.
>f(x) = x if x is rational.

>Bob Silverman

I'll admit I'm rusty, but I'm having trouble seeing why this isn't
continuous at x = .5.  I'm probably missing something obvious...
Newsgroups: sci.math,sci.crypt
From: cyeomans@ms.uky.edu (Charles Yeomans)
Subject: Re: Tangent^2 re: Mersenne
    <1992Apr6.231148.10786@husc3.harvard.edu> 
    <1992Apr9.140121.25691@linus.mitre.org>
Date: Thu, 9 Apr 1992 20:32:41 GMT
Organization: University Of Kentucky, Dept. of Math Sciences
X-Bytes: 

In article <1992Apr9.140121.25691@linus.mitre.org> bs@gauss.mitre.org (Robert D. Silverman) writes:
> 
[stuff omitted]
>Apparently some of Heath-Brown's recent techniques that he developed
>when he proved Artin's conjecture are relevent.
>--

What?! Did Heath-Brown do Artin's conjecture on primitive roots?
If so, it would be great if you, or someone else, could put this
on the net.  It would be a pleasant change.

Charles Yeomnns
cyeomans@ms.uky.edu
yeomans@austin.onu.edu
Newsgroups: sci.math
From: snyder@henry.ece.cmu.edu (John Snyder)
Subject: Re: A simple question about R2 - Q2 (irrational points of the plane)
Organization: Physics Department, Carnegie Mellon University
Date: Sun, 12 Apr 1992 08:39:42 GMT

In article <1992Apr11.175123.360@math.okstate.edu> gindrup@math.okstate.edu (Eric `'d'kidd' G..) writes:
>In article <1992Apr7.233720.12411@newshost.anu.edu.au> gerry@macadam.mpce.mq.edu.au (Gerry Myerson) writes:
>>In article <1992Apr7.174510@masg1.epfl.ch>, baumgart@masg1.epfl.ch (Marcel Baumgartner) writes:
>>> 
>>> Keywords: In R2 - Q2, does there exist an oblique straight line ?
>>
>>Sure; x+y=pi. 
>
>Can you PROVE that the sum of any two irrational numbers is irrational?
>From my humble memories comes a rumbling that that is still an open idea...
>

Am I missing something here?  The sum of ANY two irrational numbers MUST be 
irrational?  What about this?:

[sqrt(2)] + [1-sqrt(2)] = 1 , which is not irrational

or for that matter:

[sqrt(2)] + [-sqrt(2)] = 0 , which is not irrational either

John
snyder@henry.ece.cmu.edu


Newsgroups: sci.math
From: ara@zurich.ai.mit.edu (Allan Adler)
Subject: Re: Math term paper subject requested
Organization: M.I.T. Artificial Intelligence Lab.
Date: Sat, 11 Apr 1992 05:33:59 GMT

I have sometimes asked students in math classes to write papers. I did this
when I taught analysis at MIT and when I taught MATH 1A at Brandeis.  Since
the content of the latter is variable, let me describe the course by saying
that the students were selected for this course after distinguishing themselves
on an objective examination by their utter lack of interest and ability in
mathematics. There are actually two courses for such people. One attempts to
provide them with the skills that they lack so that they can take other 
math courses. I taught the other one. 

Here are some of the topics they wrote papers on:

(1)  The Hopf Fibration
(2)  Square-Triangular Numbers
(3)  Characterizations of compact metric spaces
(4)  Sonya Kovalevsky
(5)  Mathematics and Sex Differentiation
(6) A Mathematical Analysis of Malthusian Theory
(7) Magic Squares
(8) Is Mathematics a Dead Science?
(9) Statistics: What can you believe?
(10) The Abacus
(11) Why no firemen play hopscotch
(12) Mathematics and humor
(13) Three Accomplished Women: Hypatia, Maria Gaetana, Emmy Noether
(14) A Childs Guide To Ingenuity in Reflecting Circles
(15) A Mathematical Approach To Blackjack
(16) How to buy the right ultralight hang glider
(17) Symmetry in Escher
(18) Antisemitism in Soviet Mathematics
(19) The Psychology of the Mathematical Intellect
(20) Rabbinical Mathematics
(21) Archimedes
(22) The 15 puzzle and homotopy theory

Allan Adler
ara@altdorf.ai.mit.edu
From: fenthe@drycas.club.cc.cmu.edu
Newsgroups: sci.math
Subject: Math songs?
Date: 17 Apr 92 19:26:06 GMT
Organization: Carnegie Mellon Computer Club

Does anyone have any mathematical songs (mnemonic ideally, but
I'm interested in anything) - something along the lines of;
 (which, I hasten to add, is not my creation)

Matrices, integers, rationals, reals
Then polynomials and all their ideals
Real-valued functions and similar things
These are a few of my favourite rings
   (vaguely to the tune of 'My Favourite Things')

 Anyway, anything similar to that.

 thanks.


Newsgroups: sci.math
From: trivedi@rabi.uchicago.edu (Anil Trivedi)
Subject: Re: Zero, "Arabic" numerals, etc.
Organization: Enrico Fermi Institute, University of Chicago.
Date: Fri, 10 Apr 1992 01:42:41 GMT

In article <44588@mentor.cc.purdue.edu> hrubin@pop.stat.purdue.edu (Herman Rubin) writes:

>What is being discussed is not the notion of zero, but a SYMBOL for 
>zero.  

Well, you are half way there but not quite. This is one of the deepest
misunderstandings. The key intellectual and practical leap was in
USING ZERO TO OBTAIN A PLACE VALUE REPRESENTATION OF THE NUMBERS.

Think about it this way. Suppose that the Romans had the concept of
zero as well as a symbol for it. And their number system looked like 
this:
	0, I, II, III, IV, V, VI, VII, VIII, IX, X, XI, ...

Now that is not too much of an improvement, zero or not, is it?
From: andrew@rentec.com (Andrew Mullhaupt)
Newsgroups: sci.math
Subject: Re: Falling cats and flat SO(3)-bundles
Date: 6 Apr 92 21:57:01 GMT
Organization: Renaissance Technologies Corp., Setauket, NY.

In article <1992Apr6.95224.26140@ms.uky.edu> cyeomans@ms.uky.edu (Charles Yeomans) writes:
>In article <1992Apr5.011855.28242@midway.uchicago.edu> kwhyte@math.uchicago.edu (Kevin Whyte) writes:
> ...  Someone gave a reference to some papers which described the
>>falling cat more or less by calculating the holonomy of a canonical
>I would be interested to know if this has been generalized to 
>other animals.

Yes. Especially millipedes and giant squids.

Later,
Andrew Mullhaupt
Newsgroups: sci.math
From: gerry@macadam.mpce.mq.edu.au (Gerry Myerson)
Subject: Re: A simple question about R2 - Q2 (irrational points of the plane)
Organization: ceNTRe for Number Theory Research
Date: Tue, 7 Apr 92 23:37:20 GMT

In article <1992Apr7.174510@masg1.epfl.ch>, baumgart@masg1.epfl.ch (Marcel Baumgartner) writes:
> 
> Keywords: In R2 - Q2, does there exist an oblique straight line ?

Sure; x+y=pi. 

Xref: sparky sci.math:5862 sci.crypt:1843
From: bs@fatima.mitre.org (Robert D. Silverman)
Newsgroups: sci.math,sci.crypt
Subject: Re: Tangent^2 re: Mersenne
Date: 10 Apr 92 01:00:57 GMT
Article-I.D.: linus.1992Apr10.010057.19963
Organization: Research Computer Facility, MITRE Corporation, Bedford, MA

In article <1992Apr9.163241.12221@ms.uky.edu> cyeomans@ms.uky.edu (Charles Yeomans) writes:
:In article <1992Apr9.140121.25691@linus.mitre.org> bs@gauss.mitre.org (Robert D. Silverman) writes:
:> 
:[stuff omitted]
:>Apparently some of Heath-Brown's recent techniques that he developed
:>when he proved Artin's conjecture are relevent.
:>--
:
:What?! Did Heath-Brown do Artin's conjecture on primitive roots?
:If so, it would be great if you, or someone else, could put this
:on the net.  It would be a pleasant change.
 
Essentially. What Heath-Brown did was to prove Artin's conjecture
was true with at most 2 exceptional primes. This is not **quite** the
full conjecture, since his proof leaves room for two possible exceptions.

Some people have expressed the opinion that he should have gotten a
Fields medal for this. Unfortunately classical analytic number theory
was not a popular topic among the selection committee.

His paper appeared quite recently, but I don't have a reference
right now. My wife [Claudia Spiro] has his paper in her office.

Bob
--
Bob Silverman
These are my opinions and not MITRE's.
Mitre Corporation, Bedford, MA 01730
"You can lead a horse's ass to knowledge, but you can't make him think"
Xref: sparky sci.math:5971 rec.puzzles:3653 soc.culture.japan:3455
From: waynelui@nttioe.NTT.JP (Wayne Lui)
Newsgroups: sci.math,rec.puzzles,soc.culture.japan
Subject: Japanese pentagon puzzle
Date: 9 Apr 92 08:28:21 GMT
Article-I.D.: nttica.4150
Reply-To: waynelui@nttioe.NTT.JP (Wayne Lui)
Organization: NTT Opto-electronics Laboratories, Atsugi, Japan.

The following appears in the evening edition of Asahi Shimbun a 
few days ago.  Says no one in Japan has yet solve it.  Not with
elementary methods anyway.  Here goes:

	Let the area of a convex pentagon be S.  Join 
	all the vertices by straight lines so that a 
	"star" forms within the pentagon.  Now, let the 
	area of the small pentagon in the heart of the 
	star be S'.  What is the biggest possible value 
	of the ratio S'/S ?  Prove your result.

Follow-up in sci.math.
					Wayne Lui
					waynelui@nttica.ntt.jp
Newsgroups: sci.math
From: giulio@alessia.dei.unipd.it (Giulio Rigo 345123/IL)
Subject: ARE equations
Originator: giulio@alessia
Organization: D.E.I. Universita' di Padova (Italy)
Date: Sat, 11 Apr 1992 11:09:21 GMT


Newsgroups: sci.math
From: mtx014@cck.cov.ac.uk (Robert Low)
Subject: Re: test of non-orientability of moibus strip.
Reply-To: mtx014@cck.cov.ac.uk
Organization: Plato's rest home for the incurably geometric
Date: Wed, 8 Apr 1992 12:32:10 GMT

In <1992Apr3.133246.28043@mailer.cc.fsu.edu> rose@fsu1.cc.fsu.edu (Kermit Rose) writes:

>It was suggested that one test of the non-orientability of a moibus strip 
>was that if you drew clockwise circle on the band, moving around the band, 
>when you cam back to where you started, then you would be drawing the 
>circles counterclockwise.   
>I tried this.  I did not find it so.  Actually what I tried was drawing the 
>circles counterclockwise.  When I came back to starting point, I was still 
>drawing them counterclockwise.  
>I assume that the non orientation comes from its having just one side. 
>What is the real point behind the idea of drawing circles to test for 
>orientation posibility?

You misunderstood. (My way of saying I didn't explain carefully enough.)
Forget that the Moebius band is on thick paper, and remember
that it is only a two-dimensional surface. A point on the surface is
just a point on the surface, it doesn't care which side of the paper it
lies. If you like, imagine it made out of clear plastic sheeting rather
than paper. When you go all the way round, *once*, you get back to
where you were before; with paper, you're on the opposite side
to the one you started---but the Moebius band you're modelling with
paper has no thickness. On the plastic sheet you'll find that you've 
got a circle in the same place as the first, but with the opposite 
orientation.

To put it another way, if you carry a normal to the surface around, when 
you get back to your starting point, it is pointing to the opposite side.

The best way to get to grips with this is to get hold of a tame
mathematician, and have him explain it to you. It's the only way to clear
up little misunderstandings as they arise.

And yes, it has to do with the band only having one side.
--
Robert Low  email(JANET): RobLow@uk.ac.coventry.cck
	    smail : Mathematics Department, Coventry Polytechnic,
		    Priory Street, Coventry CV1 5FB, England.
Keep an open mind---but not so open your brain falls out.
Newsgroups: sci.math
From: len@schur.math.nwu.edu (Len Evens)
Subject: Re: SYMMETRIC MATRICES
Summary: True over any field
Keywords: symmetric matrix sleepless zombie proof
Organization: Dept of Math, Northwestern Univ
Distribution: na
Date: Tue, 7 Apr 1992 13:28:25 GMT


If two matrices are similar over an extension field, they are similar
over the field of definition of the matrices.   Thus,  PA = BP  may
be viewed as a system of equations for the entries of  P, and if it
has a solution at all, it has one in the defining field.   You must
still prove that if it has a non-singular solution in the extension then
it has a non-singular solution in the defining field.   That is harder.
I leave it as a puzzle.

In any characteristic, a matrix has a Jordan canonical form over the
algebraic closure, and the canonical forms for A and the transpose of
A are similar.

One can also avoid the issue of extension fields entirely by using
the rational canonical form and noting that the transpose of
a companion matrix is similar to the matrix.

It would still be nice to see a proof which didn't use canonical form 
theory.



Leonard Evens      len@math.nwu.edu      708-491-5537
Dept. of Mathematics, Northwestern Univ., Evanston, IL 60208
From: jeff@madeleine.ics.uci.edu (Jeff Erickson)
Subject: Re: On knowing who's who (was: Fermat's Last Theorem)
Newsgroups: sci.math
Organization: World Class University, Inc.
Date: 10 Apr 92 01:03:40 GMT

a_rubin@dsg4.dse.beckman.com (Arthur Rubin) writes:

| Erdos is probably the best known active mathematician, possibly the
| best known living mathematician.

Within the mathematical community, probably so.  But outside it, I
would expect Benoit Mandelbrot, John Conway, and Roger Penrose to be
better known than Paul Erdos, in about that order.  I hadn't even
heard of Erdos until last year, but I would've recognized the other
three names ten years ago (in high school).

Then there's Doug Hofstadter and Martin Gardner.  I'm not sure where
to put them in the familiarity standings (certainly above Erdos), or
whether they're properly classified as active mathematicians.

| I don't think Lederman is the best known active physicist.

I'd guess Steven Hawking, but I'm not a physicist.  [I would've said
Feynman, but he's dead.]

--
Jeff Erickson    |  Aleph-null bottles of beer on the wall,
jeff@ics.uci.edu |	Aleph-null bottles of beer!
-----------------+  Take one down, pass it around,
			Aleph-null bottles of beer on the wall!    [Repeat]
From: bic@piglet.mmwb.ucsf.edu (Bruce Cohen)
Newsgroups: sci.math
Subject: Request for AMS Abstract
Date: 13 Apr 92 21:07:26 GMT


	I am looking for a one page abstract from an AMS journal.
Unfortunately, the Semiverisity of California, San Francisco lacks a
math department.  The library bureaucracy will get me this abstract, but
if will take weeks.  I would greatly appreciate a FAX from some kind
person who has access to a real math library.

	In order to prevent a flood of paper, please send me e-mail for
my FAX number.  Additional offers will be politely refused.

	Thanks.

-Bruce

-----------------------------------------------------------------------
Author:           American Mathematical Society.
Title:            Abstracts of papers presented to the American Mathematical
                    Society.
Other forms
of title:         Abbreviated title: Abstr. pap. presented Am. Math. Soc.
                  Key title: Abstracts of papers presented to the American
                    Mathematical Society.

Publisher:        Providence, R.I., American Mathematical Society.

   UCB   Astr/Math QA1 .A515            1(1980)-

Issue:		  March 1992 Vol 13 No 2
section 11 Number Theory 
entry 92T-11-40 (C. Muses, Bernoulli Numbers)

-- 
        Bruce Cohen                    |  UUCP:     ..ucbvax!ucsfcgl!bic
        Pharm Chem, Box 0446, Rm S-926 |  INTERNET: bic@cgl.ucsf.edu
        University of California       |  BITNET:   bic@ucsfcgl
        San Francisco, CA  94143-0446  |  VOICE:    (415) 476-8291
From: gd1@cunixa.cc.columbia.edu (Gautam Dalmia)
Newsgroups: sci.math
Subject: Re: factoid about new prime
Date: 9 Apr 92 08:28:57 GMT
Reply-To: gd1@cunixa.cc.columbia.edu (Gautam Dalmia)
Organization: Columbia University

bs@gauss.mitre.org (Robert D. Silverman)

>And even your arithmetic is wrong. The above ratio is around 2^540748
>I'd like to know where 162781 came from.

I don't have a calculator but 162781 seems okay. 10^x an 2^y.....x,y
ratio seems reasonable.
Newsgroups: sci.math