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The Web's Most Extensive Mathematics Resource


Today, Wolfram Research released Mathematica 9, the newest version of its powerful technical computing software.


WolframAlpha Meets MathWorld 


The web's most extensive mathematics source and most powerful knowledge engine have now joined forces.
Excerpts from MathWorld's 13,000+ mathematical entries are now incorporated in WolframAlpha, making
them accessible and browsable to users of that popular site.


Today, Wolfram Research released Mathematica 8, the newest version of its powerful technical computing software.


47th (and SecondLargest) Known Mersenne Prime Announced 


Join us for the first annual WolframAlpha Homework Day on Wednesday October 21, 2009.
This live, interactive web event will showcase how WolframAlpha is helping students,
parents, and educators solve problems and illuminate knowledge. Learn more on
http://homeworkday.wolframalpha.com.


47th (and SecondLargest) Known Mersenne Prime Announced 


A new Mersenne prime was reported to the GIMPS server in April, but not
noticed until now due to a configuration issue on the server. The
discovery has now been verified and officially announced as
M42643801, which has 12837064
decimal digits, making it the 46th known Mersenne prime ranked by size, and hence
only the second largest. The prime was discovered by Norwegian GIMPS participant
Odd Magnar Strindmo.


47th Known Mersenne Prime Apparently Discovered 


A new Mersenne prime was reported to the GIMPS server in April, but not
noticed until now due to a configuration issue on the server. GIMPS
organizer Woltman has verified that the last save file is valid, so the reported
discovery appears to be real. Verification and announcement of the value
will follow shortly.


Today, Wolfram Research released Mathematica 7, the newest version of its powerful technical computing software.


45th and 46th Mersenne Primes Discovered 


Two years after the 44th known Mersenne prime was reported (MathWorldheadline
news, September 11, 2006), the GIMPS project has discovered the 45th and 46th
known Mersenne primes: 2^37156667  1 and 2^43112609  1. The discoveries
were made by Edson Smith on August 23, 2008 (for the larger prime) and
HansMichael Elvenich on September 6, 2008 (for the smaller prime), and
announced by GIMPS organizer George Woltman on September 16. The new Mersenne
primes have 11,185,272 and 12,978,189 decimal digits, making them not only the
largest Mersenne primes known, but also the largest known primes of any type.
The first discovered (and largest) of these prime also earns its finders a
$100,000 prize from the Electronic Frontier Foundation for the discovery of a
prime number with 10 million or more digits.


Two New Mersenne Primes Apparently Discovered 


A new Mersenne prime was reported to the GIMPS server on August 23, 2008.
This prime was confirmed by Septempber 6, though its value has not yet ben
revealed pending independent verification using a different program on a
different computer architecture. More amazingly still, during the period
required for the first verification of the recently reported new prime a
second new Mersenne prime was reported and is currently being verified.


New Mersenne Prime Apparently Discovered 


A new Mersenne prime was reported to the GIMPS server on August 23. GIMPS
organizer Woltman has asked the finder to send the last save file, so it
should very soon be known with more than 99% certainty if the reported
discovery is true.


A New Look and New Features for MathWorld 


While MathWorld continues to be the most popular and most visited mathematics
sites on the internet, and while its mathematical content continues to
steadily grow and expand, MathWorld readers will notice more immediate visual
changes the next time they visit the site. Design changes and major new pieces
of functionality are generally years in the making for large informational
websites like MathWorld. The last time the site received a major upgrade to
its infrastructure was in July of 2005. On Friday of last week, we introduced
a major update of the MathWorld site featuring improved navigation,
higherquality typesetting, and links to interactive demonstrations. I
encourage you to visite the updated site and enjoy the beneifts that the new
look and associated functionality provide.


NUMB3RS Season 4 Premier to Air Friday, September 28 at 10pm ET on CBS 


Wolfram Research is pleased to partner with CBS in promoting math awareness
through NUMB3RS. As the world's leading producer of software for mathematical
and scientific computation, Wolfram Research is dedicated to spreading our
passion for mathematics and computation throughout the globe. Members of
Wolfram's R&D staff provide NUMB3RS with real math to support each episode
of the show. Just as it is used in so many of today's realworld scientific and
technological innovations, our flagship product Mathematica is also used to
create the math behind NUMB3RS.


The Wolfram 2,3 Turing Machine Research Prize 


A universal Turing machine is powerful enough to emulate any standard
computer. The question is: how simple can the rules for a universal Turing
machine be? Since the 1960s it has been known that there is a universal 7,4
machine. In A New Kind of Science, Stephen Wolfram found a universal 2,5
machine, and suggested that the particular 2,3 machine that is the subject of
this prize might be universal. The prize is for determining whether or not the
2,3 machine is in fact universal.


The Math(ematica) behind Television's Crime Drama NUMB3RS 


Viewers of prime time television will likely be quite familiar with police
chases, bloodstained bodies, and massive explosions. What they may be less
familiar with is a protagonist whose job title is "math professor" and who
uses crime investigation techniques that delve deep into mathematical concepts
and equations. Nevertheless, that's exactly what viewers are likely to find on
the CBS Paramount television crime drama NUMB3RS, which airs at 10
p.m. U.S. Eastern on Fridays. Even before the show first premiered in January
2005, a group of researchers at Wolfram Research has been part of the core
group of advisers who assist with all aspects of the the mathematics in the
show. NUMB3RS remains one of the most popular programs on television, and its
cocreators Nick Falacci and Cheryl Heuton have been the recipients of a
number of prestigious awards for science communication to a general audience.
Most recently, Nick and Cheryl were honored with a Public Service Award from
the National Science Board, presented at the U.S. State Department diplomatic
reception rooms in Washington, DC on May 14. We at Wolfram Research count
ourselves fortunate to be primary consultants for NUMB3RS, and more fortunate
still to have been invited by Cheryl to attend and take part in the award
presentation.


Mathematica 6 and The Wolfram Demonstrations Project Launched 


As many of you have probably noticed on the pages of MathWorld,
a number of exciting new things have happened in the last few
days that may be of special interest to you.
The first is the longawaited release of Mathematica 6.
For MathWorld readers who may not need to harness the full
computational power of Mathematica themselves but may still be
interested in the computations and visualizations it can produce,
the new Wolfram Demonstrations Project (http://demonstrations.wolfram.com),
unveiled in conjunction with the release of Mathematica 6,
contains more than a thousand interactive Demonstrations built
with Mathematica.


Record Twin Prime Discovered 


The largest known twin prime pair found to date was discovered today
through the Twin Internet Prime Search and PrimeGrid distributed computation projects.
The new twins are 2003,663,613 2^195000 +/ 1, each of which has 58711
decimal digits.


44th Mersenne Prime Found 


Less than a year after the 43rd known Mersenne prime was reported
(MathWorldheadline news, December 25, 2005), the GIMPS project has
discovered the 44th known Mersenne prime: 2^32582657  1. The discovery was
made by Dr. Curtis Cooper and Dr. Steven Boone on September 4, tentatively announced by GIMPS organizer
George Woltman on September 4, and independently verified by Tony Reix on
September 11. The new Mersenne prime has 9808358 decimal digits, making
it not only the largest Mersenne prime known, but also the largest known
prime of any type.


44th Mersenne Prime (Probably) Found 


Less than a year after the 43rd known Mersenne prime was reported (MathWorld
headline news, December 25, 2005), GIMPS project organizer George Woltman is
reporting in an email message that a new Mersenne prime has been reported to
the GIMPS server. A verification run on the number has been started, and
more details will be made public when verification of the discovery has been
completed.


Lennart Carleson Receives 2006 Abel Prize 


The Norwegian Academy of Science and Letters has awarded the 2006 Abel
Prize to Lennart Carleson of Royal Institute of Technology, Sweden.
Carleson received the Abel Prize for his contributions to harmonic analysis
and the theory of smooth dynamical systems. King Harald of Norway will
present the Abel Prize to Lennart Carleson at an award ceremony in Oslo on
May 23.


43rd Mersenne Prime Found 


Less than a year after the 42nd known Mersenne prime was reported
(MathWorld headline news, February 26, 2005), the GIMPS project has
discovered the 43rd known Mersenne prime: 2^30402457  1. The discovery was
made by Drs. Curtis Cooper and Steven Boone, professors at Central Missouri
State University on December 15, tentatively announced by GIMPS organizer
George Woltman on December 19, and independently verified by Tony Reix on
December 25. The new Mersenne prime has 9,152,052 decimal digits, making
it not only the largest Mersenne prime known, but also the largest known
prime of any type.


43rd Mersenne Prime (Probably) Found 


Less than a year after the 42nd known Mersenne prime was reported (MathWorld
headline news, February 26, 2005), GIMPS project organizer George Woltman is
reporting in an email message that a new Mersenne prime has been reported to
the GIMPS server. A verification run on the number has been started, and will
take a week or two to complete. The potential prime was identified by an
experienced GIMPS participant and no errors were reported during the run, so
it seems likely that a new Mersenne prime has indeed been found. While the
exponent of the potential prime has not yet been revealed, it has has fewer
than ten million digits.


A team at the German Federal Agency for Information Technology Security
(BSI) recently announced the factorization of the 193digit number known as
RSA640. The team responsible for this factorization is the same one that
previously factored the 174digit number known as RSA576 and the 200digit
number known as RSA200. While RSA640 has slightly fewer digits than the
previously factored RSA200, its factorization carries the additional
benefit of a cash reward of $20,000 awarded by RSA Laboratories as part of
RSA's program to encourage research into computational number theory and
the practical difficulty of factoring large integers.


Springer Publishes The Mathematica GuideBooks 


After a nearly 15year wait, the complete 4volume set of Michael
Trott's definitive Mathematica GuideBooks> is now available.
Described as a unique tour de force by prominent mathematicians,
physicists, and visualization experts, the GuideBooks deal with
educational, current research, and recreational problems from
mathematics, computer science, computer graphics, and physics. The
Mathematica GuideBooks are true mathematical gems. Overflowing
with beautiful results, extensive literature references, and stunning
graphics, these books provide a fascinating glimpse into the power of
computational mathematics.


WolframTones Launched by Wolfram Research 


A new system of computergenerated music known as WolframTones has
been launched by Wolfram Research. WolframTones works by taking
simple programs in the form of cellular automata and using music theory
and Mathematica algorithms to render them as music. Each program
can be viewed as defining a virtual world and WolframTones captures
that computational world as a musical composition.


MathWorld Introduces New Interactive Features for Teachers and Students 


Wolfram Research and the MathWorld team are pleased to announce the
unveiling of a number of exciting new features on the MathWorld website.
These innovative featuresincluding the new MathWorld Classroom,
interactive entries, a streamlined comment system, and improved equation
formattingrepresent a major update of the site that enhance the
usability, interactivity, and navigability of the website. We hope you
enjoy these new features, and also that you continue to use and rely on
MathWorld as an important resource in your mathematical explorations.


A team at the German Federal Agency for Information Technology Security
(BIS) has announced the factorization of the 200digit number known as
RSA200. The team responsible for this factorization is the same
one that previously factored the 174digit number known as RSA576
(MathWorld headline news, December 5, 2003). While RSA200 is a much
smaller number than the 7,816,230digit monster Mersenne prime known
as M42 (the largest prime number known), its factorization is
significant because the RSAnumbers serve as benchmarks for users of the
RSA publickey cryptography algorithm in choosing suitable
key lengths that provide an appropriate level of security for data
encryption.


Peter Lax Receives 2005 Abel Prize 


The 2005 Abel Prize in mathematics has been awarded to Peter D. Lax
for his groundbreaking contributions to the theory and application of
partial differential equations and the computation of solitons. The
Abel prize is a mathematics prize of the Norwegian Academy of Science
and Letters that is modeled after the Nobel Prize and has been awarded
annually beginning in the year 2003.


42nd Mersenne Prime Found 


Less than a year after the 41st known Mersenne prime was reported
(MathWorld headline news, June 1, 2004), the GIMPS project has
discovered the 42nd known Mersenne prime: 2^2596495  1. The discovery was
tentatively announced by GIMPS organizer George Woltman on February 18,
independently verified by Tony Reix on February 25, and the exponent was
reported on February 26. The new Mersenne prime has 7,816,230 decimal
digits, making it not only the largest Mersenne prime known, but also
the largest known prime of any type.


42nd Mersenne Prime (Probably) Discovered 


Less than a year after the 41st known Mersenne prime was reported
(MathWorld headline news, June 1,
2004), GIMPS project organizer George Woltman is reporting in an
email message that a new Mersenne prime has been
reported to the GIMPS server.
Addendum: As of February 25, the new Mersenne prime has been verified.
More details will be provided as they become available.


The Mathematics of Tsunamis 


The recent tragic events following the December 2004 magnitude 9.0
earthquake in the Indian Ocean have reminded us of the need for scientific
understanding and modeling of complicated physical phenomena in order to
prevent unnecessary loss of life from natural disasters. Here we model and
visualize a tsunami by solving the shallow water wave equations using
Mathematica.


Seven Mathematical Tidbits 


While the last several months have not been filled with any particularly
earthshattering new mathematical results, a number of interesting
events, findings, and mathematical books have recently appeared. Here is
a recap of some of them, including a birthday, some very odd numbers,
a whole lot of nothing, two new books, and major milestones for two
mathematical websites.


Mathematica's Google Aptitude 


Google makes use of unusual mathematically oriented recruiting techniques.
These techniques have received additional coverage in the last few weeks
and months following the erection of a mathematical billboard in Silicon
Valley in July. Google followed their unusual billboard with a
mathintensive Google Labs Aptitude Test. Mathematica clearly shows
its extremely high mathematical aptitude by easily solving most of these
questions, especially when guided by a little research on MathWorld.


Show Your Math Savvy with a MathWorld TShirt 


You can now sport an elegant, mathematical look by donning a Tshirt
bearing the MathWorld logo. The new MathWorld shirt is a shortsleeve
white Tshirt made of 100% cotton adorned with attractive mathematical
graphics. The Tshirts come in medium, large, Xlarge, and youth medium sizes,
and are available for purchase from the Wolfram Worldwide Web Store
(http://store.wolfram.com/view/misc/). In other news, Ed Pegg, Jr. has
recently joined the MathWorld team, and a new RSS newsfeed is now in place
for more convenient reading of MathWorld Headline News.


Wolfram Technology Conference 2004 to Be Held October 2123 in Champaign, Illinois 


The 2004 Wolfram Technology Conference invites authors, students,
educators, and developers who use Mathematica and other Wolfram
products to participate. This year's conference will include contributed
talks, a new student presentation forum, an art gallery, tutorials,
handson workshops, and problemsolving clinics.


Twin Prime Proof Proffered 


A May 26 preprint by Vanderbilt University mathematician R. F. Arenstorf
appears to come close to settling the longstanding question of the
infinitude of twin primes. While a hole has recently been found in the
proof, mathematicians remain hopeful that the proof can be corrected.


Riemann Hypothesis "Proof" Much Ado About Nothing 


A June 8 Purdue University news release reports a proof of the Riemann
Hypothesis by L. de Branges. However, both the 23page preprint
(from 2003) cited in the original release and a 124page preprint
(from 2004) cited in a backdated modified release seem to lack an actual proof.
Furthermore, a counterexample to de Branges's approach by Conrey and
Li has been known since 1998. The media coverage therefore appears
to be much ado about nothing.


41st Mersenne Prime Announced 


Josh Findley, a participant in the Great Internet Mersenne Prime Search (GIMPS),
identified the 41st known Mersenne Prime on the morning of
May 15. The discovery was confirmed on May 29, making 2^24036583  1
the largest known Mersenne prime, as well as the largest prime number known.



Copyright 20042011 Wolfram Research, Inc.



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