Mersenne: Neumann Newman Re: computational history of the Mersenne primes
Thanks for the smile, Ernst.
János von Neumann the Hungarian is different to the Max Newman
(from London) who's father was German and called Neumann.
Strange coincidence!
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Newman.html
It is a remarkable event, that I hadn't realised before, that the
first 2 (real) computers used Neumann and Von Neumann architectures!
[EMAIL PROTECTED] wrote:
Many thanks to Paul Landon for the very informative and enjoyable
trilogy about the history of computer testing of Mersenne numbers!
So Newman of Manchester was apparently the first - wait, I just got
an e-mail from someone with the handle [EMAIL PROTECTED] -
must work for some cryptography outfit. No, he goes on to explain that
The German Neumann did indeed work for some cryptography
outfit. The history linked to above says "From 1916 until 1919 he
undertook work related to the war, doing various jobs such as army
paymaster and schoolmaster."
There is some data there significant by it's ommission - it is
very vague. Most people in the military had precise ranks,
positions and regiments and after the war are very well recorded.
I guess being a Cryptographer and a German speaker it is possible
that he worked for one of those (shhh!) organisations that don't
publicly overtly state their purpose.
[comments in square brackets are mine]
"In 1942 he joined the Government Code and Cipher School [at
Bletchley Park] and worked there with Turing."
Bletchley Park, otherwise known as Station X has been
referred to as "Britain's Best Kept Secret". It was home to the
Ultra Project (which decrypted almost all of Germany's top level
comms) and the Colossus machines.
http://www.cranfield.ac.uk/ccc/bpark/
http://www.bletchleypark.org.uk/
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Turing.html
"The decoding operation at Bletchley Park became the basis for
the new decoding and intelligence work at GCHQ. With the cold
war this became an important operation and Turing continued to
work for GCHQ, although his Manchester colleagues were totally
unaware of this. Now after his conviction [for Homosexuality],
his security clearance was withdrawn. Worse than that, security
officers were now extremely worried that someone with complete
knowledge of the work going on at GCHQ was now labelled a
security risk. He had many foreign colleagues, as any academic
would, but the police began to investigate his foreign visitors.
A holiday which Turing took in Greece in 1953 caused consternation
among the security officers.
Turing died of potassium cyanide poisoning while conducting
electrolysis experiments. The cyanide was found on a half eaten
apple beside him. An inquest concluded that it was self-
administered but his mother always maintained that it was an
accident."
There are other examples of such accidents amongst EX military
intelligence people around that time.
At first Turing was working in Manchester for Newman without
pay (from Manchester).
"...Thanks to ze efforts of some enlightened mediums who are
knowledgeable about zis 'Internetz' of your modern era, selected
of us restless departed souls have been granted limited browsing
und e-mail privileges from ze great beyond. Zese mediums are
automatically transcribing ze voices zey hear, vich means zat
my missives vill probably sound like badly accented Tcherman,
even zo in reality mein written English ist sehr gut."
{Bunch of blah blah about his childhood and career snipped...
can we just cut to the chase here, fella?}
"...ze very first thing I typed into zis 'search maschine' was
ze phrase 'Mersenne prime', und I haff subsequently spent many
months vading sroo mostly tedious messages about 'Mein Komputer
ist so much faster zen yoors' und 'mein Hard drive ist very big',
but occasionally encountering an item of genuine interest, zo
ze accompanying mathematics ist usually ganz falsch. Ze recent
posting by Mr. P. Landon of Lucent Technologie vus very interesting,
but I must state for ze rekord zat I vas avare of zis at ze time.
After all, Newman vas really chust a persona I invented so I could
obtain verk in England. Ze phrase 'Neu Mann' translates into 'New
man' in English. Neumann/Newman - quite clever, nicht wahr?"
Well spotted that I work for Lucent TechnologIE GmbH.
All of my friends and colleagues do speak like that ;-)
Pröst,
Herr P. Landon
(a persona I invented to work for the Nürnberg Labs :-)
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Mersenne: (fwd)Looking for someone called BRET
Hi all-- At first I thought this was spam, but I suppose not. --Luke Dear friend My name is KOLOKOTRONIS PANAYIOTIS. This letter is sended from GREECE ( THASSOS Island ). I am looking for someone who is called BRET, or his name sounds like BRET, or his nick name is BRET. The only I know about him is that he is involved somehow with the search of mersenne numbers. He was talking frequently about the GIMPS, may be he is a participant, I hope so! If you have any idea about BRET, or if you know someone that you believe that is close to him, please sent him this letter. friendly Panos BRET if you at last recieve this letter please respond at: [EMAIL PROTECTED] _ Unsubscribe list info -- http://www.scruz.net/~luke/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers
Mersenne Digest V1 #695
Mersenne Digest Friday, February 18 2000 Volume 01 : Number 695
--
Date: Wed, 16 Feb 2000 22:24:08 +0900
From: "Kotera Hiroshi"[EMAIL PROTECTED] (Kotera Hiroshi)
Subject: [none]
Hi all
Is a decimal 23-digit numbers 111 prime ?
Could you tell me the answer with proof?
24-digit numbers = 101*1100110011001100110011
regards
++
$B.;{!!M5(B
630-8144$B!!F`NI;TEl6erD.(B1014-4
phone : 0742-61-8521
email : [EMAIL PROTECTED]
URL : http://www.asahi-net.or.jp/~nj7h-ktr/
++
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Date: Wed, 16 Feb 2000 22:27:19 +0900
From: "Kotera Hiroshi"[EMAIL PROTECTED] (Kotera Hiroshi)
Subject: Mersenne: 23-digit numbers
Hi all
Is a decimal 23-digit numbers 111 prime ?
Could you tell me the answer with proof?
24-digit numbers = 101*1100110011001100110011
regards
Hiroshi Kotera
1014-4 Tokujyo-cho
Nara City 630-8144 JAPAN
email : [EMAIL PROTECTED]
http://www.asahi-net.or.jp/~nj7h-ktr/
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Date: Wed, 16 Feb 2000 08:24:48 -0600
From: "Chris K. Caldwell" [EMAIL PROTECTED]
Subject: Mersenne: Re:
At 10:24 PM 2/16/00 +0900, Kotera Hiroshi" (Kotera Hiroshi wrote:
Is a decimal 23-digit numbers 111 prime ?
Could you tell me the answer with proof?
Yes--this is small so you could divide by all integers to the square root.
See http://www.utm.edu/research/primes/prove/ for faster ways.
If you use 317 or 1031 digits it is also a known prime. 49081 '1's gives a
probable-prime. See
http://www.utm.edu/research/primes/glossary/Repunit.html
Chris Caldwell
[EMAIL PROTECTED]
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Date: Wed, 16 Feb 2000 09:45:06 -0600
From: "Robert G. Wilson v" [EMAIL PROTECTED]
Subject: Mersenne: Re:
Yes it is. In fact there are five numbers with this
characteristic. (10^n -1)/9 is prime when n is 2, 19, 23, 317 1031.
See "The Encyclopedia of Integer Sequences" sequence M2114, Neil J.A.
Sloane and Simon Plouffe, Academic Press, 1995.
Goto: http://www.research.att.com/~njas/sequences/index.html
Sequentially yours,
Robert G. 'Bob' Wilson v,
PhD ATP / CFI
named my the authors as "our most prolific contributor on new
sequences."
"Kotera Hiroshi (Kotera Hiroshi)" wrote:
Hi all
Is a decimal 23-digit numbers 111 prime ?
Could you tell me the answer with proof?
24-digit numbers = 101*1100110011001100110011
regards
++
$B.;{!!M5(B
630-8144$B!!F`NI;TEl6erD.(B1014-4
phone : 0742-61-8521
email : [EMAIL PROTECTED]
URL : http://www.asahi-net.or.jp/~nj7h-ktr/
++
_
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Date: Wed, 16 Feb 2000 17:23:53 +0100
From: Paul Landon [EMAIL PROTECTED]
Subject: Mersenne: Re:23-digit numbers
Hiya Kotera,
(10^23-1)/9 is prime!
[N-1, Brillhart-Lehmer-Selfridge] (digits:23)
Primeform: CHK:CE16CAB
You have correctly spotted patterns there.
(10^24-1)/9 is divisible by at least:-
11
111 = 3.37
= 11.101
11 = 11.(3.37).91; 91=7.13
= 11.101.10001; 10001=73.137
= 111..900991; 900991=7.13.9901
(10^24-1) / (10^12-1) = 10^12+1
10^12+1 = 73.137.0001
(10^24-1) / (10^8-1) = 10^16+10^8+1
(10^16+10^8+1)/111 = 90090090990991
90090090990991 = 7.13.9901.0001
Clearly /11 = 10101010101
and /111 = 1001001001 etc.
showing that 2^ab-1 is divisible by 2^a-1 and 2^b-1
and can never therefore be prime, and the same for
other bases.
People who know more about this than me, forgive me
for jumping in first, but it is close to my level
of Maths.
Cheers,
Paul Landon
_
