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	Illegal prime - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-11-07)
		The first illegal prime to be announced, when interpreted a particular way, describes a computer program which bypasses copyright protection schemes on some DVDs.
		The first illegal prime number was generated on March 2001 by Phil Carmody.
		The large prime database of the prime pages records the top 20 primes of various special forms; one of them is proof of primality using the elliptic curve primality proving (ECPP) algorithm.
	en.wikipedia.org /wiki/Illegal_prime (510 words)

	Learn more about Prime number in the online encyclopedia. (Site not responding. Last check: 2007-11-07)
		In mathematics, a prime number, or prime for short, is a natural number larger than 1 that has as its only positive divisors (factors) 1 and itself.
		Twin Prime Conjecture: A twin prime is a pair of primes with difference 2, such as 11 and 13.
		Prime ideals are an important tool and object of study in commutative algebra and algebraic geometry.
	www.onlineencyclopedia.org /p/pr/prime_number.html (1927 words)

	Talk:Illegal prime - Wikipedia, the free encyclopedia
		He manipulated the program until it became a prime number and then wanted to use that prime number as a proof that the DCMA is ridiculous.
		This entry notes that there is a large prime number which is equivalent to the hexadecimal representation of a gzip compressed form of the DeCSS C source code.
		As for "the" prime, one of the illegal primes is special because its the one that is archived on primepages.org.
	en.wikipedia.org /wiki/Talk:Illegal_prime (1362 words)

	[No title] (Site not responding. Last check: 2007-11-07)
		Twin primes are a set of two prime numbers that have a difference of two.
		The closest is something called Brun's constant, in which the sum of the reciprocals of the twin primes is about 1.90216054...
		Basically it uses the prime number theorem to say that there is a limit to Fermat primes.
	home.ipoline.com /~cfung/Jennifer/primes/primestheories.html (240 words)

	FRB: Testimony, Biern -- "Prime bank" schemes -- July 17, 1996
		The banking agencies committed to refer cases of potential illegal conduct associated with supposed "prime bank" documents to a senior official in the Washington, D.C., office of the SEC and to the local offices of the FBI because almost all "prime bank" schemes appeared to involve fraud, including securities fraud.
		Between late 1993 and mid-1995, hundreds of inquiries were received from individuals who had been solicited to purchase "prime bank" financial instruments, from investment advisors considering potential investments on behalf of clients, and from banking organizations that had received faxed solicitations.
		Most "prime bank" scams entail multi-million dollar investments, and as such we are not aware of losses to individual, as opposed to institutional, investors.
	www.federalreserve.gov /boarddocs/testimony/1996/19960717.htm (1070 words)

	Prime number
		Therefore it cannot be divided by any of what were supposedly all the primes, and it must be another prime, or divisible by a prime that we have omitted from our list of all the primes.
		A simple but inefficient way to compute a list of all the prime numbers up to a given limit is the algorithm called the "Sieve of Eratosthenes".
		All largest known primes are Mersenne primes, because there exists a particularly fast primality test for numbers of this form, the Lucas-Lehmer test[?].
	www.fastload.org /pr/Prime_number.html (1738 words)

	Federal Reserve Bulletin: Statement by Herbert A. Biern, Deputy Associate Director, Division of Banking, Supervision ... (Site not responding. Last check: 2007-11-07)
		A secure escrow account maintained at a "prime bank" or by an attorney would be used to hold the investors' funds, and payments into this account would be made by some sort of "key tested telex" message.
		The banking agencies committed to refer cases of potential illegal conduct associated with supposed "prime bank" documents to a senior official in the Washington, D.C., office of the SEC and to the local offices of the Federal Bureau of Investigation because almost all "prime bank" schemes appeared to involve fraud, including securities fraud.
		Most "prime bank" scams entail multimillion dollar investments, and as such we are not aware of losses to individual, as opposed to institutional, investors.
	www.findarticles.com /p/articles/mi_m4126/is_n9_v82/ai_18711898 (1163 words)

	Illegal Prime Number?
		I have been a large prime prover (parse that either way!) for quite a while now (I refer you to, for example, the "Near Repdigit" record on Professor Caldwell's Prime Pages), and I tried to think how I could come up with a number archivable on those pages.
		The Prime Pages is the world's definitive resource for large prime number archiving and information; Professor Caldwell, who manages it, has put an awfully large amount of effort into deveoloping those pages, and into administering the archival of large primes, and has put a lot of thought into the criteria for their archivability.
		However it has become "interesting" enough to be one of the curios on the Prime Curios site, which is part of the Prime Pages site, and is for the more "fun" aspects of prime numbers.
	asdf.org /~fatphil/maths/illegal1.html (1435 words)

	Prime Number Encodings of CSS Descramblers
		illegal prime: a prime number that encodes the gzipped source of the anonymous C source code for the CSS descrambling algorithm (but without the tables).
		It's "illegal" because publishing this number could be considered trafficking in a circumvention device, in violation of the Digital Millenium Copyright Act, 17 USC 1201.
		Note that there is a carriage return (\r, ASCII 13) at the end of the last line to make the resulting number odd.
	www.cs.cmu.edu /~dst/DeCSS/Gallery/Stego/illegal-primes.html (298 words)

	INTERNATIONAL ROUNDUP
		Greek Prime Minister Kostas Simitis met with the ministerial committee on December 5, to discuss the problem of illegal immigration.
		Prime Minister Simitis said that he believed the problem of illegal immigration would only intensify in coming months.
		Also Greece will widen deportation agreements on existing illegal immigrants and adopt policies that are more in line with the European Union.
	www.visalaw.com /01dec1/13dec101.html (489 words)

	4-dim HyperDiamond Lattice
		At the moment the largest known Mersenne prime is 2^13466917 - 1 (which is also the largest known prime) and the corresponding largest known perfect number is 2^13466916(2^13466917 - 1).
		Here the primes are: sqrt(5) and its associates; rational primes 5n +/- 2 and their associates; factors a + bi of rational primes 5n +/- 1 Hardy and Wright use such algebraic extensions, by sqrt(5) and sqrt(3), to prove primality of some Mersenne primes.
		Conway and Sloane use algebraic extension of quaternions by the Golden (1/2)(1 + sqrt(5)) to construct the 8-dimensional E8 lattice and the 24-dimensional Leech lattice.
	www.valdostamuseum.org /hamsmith/PrimeFC.html (5922 words)

	BBC News \| UK Politics \| No trade war - Blair
		Prime Minister Tony Blair has told MPs that the UK does not want a "tit for tat war" with France over beef.
		The prime minister said: "Therefore the ban he is calling for on French products would be illegal.
		We have the prime minister saying meat fed on human sewage is safe, but British t-bone steaks are lethal.
	news.bbc.co.uk /1/hi/uk_politics/489055.stm (599 words)

	FRB: OIG - Hotline - Press Releases
		The 1993 advisory warned that there were illegal schemes claiming to involve financial instruments issued by a "prime bank" and claiming unrealistic rates of return or other benefits.
		Since the issuance of the advisory, law enforcement and regulatory authorities in the United States and abroad have prosecuted numerous individuals for their participation in "prime bank" scams, and millions of dollars in illegal proceeds have been seized.
		Despite the notoriety given to illegal "prime bank" scams and the efforts of law enforcement authorities over the past several years, fraudulent investment schemes supposedly involving "prime bank" financial instruments and other investment opportunities involving extremely unusual rates of return, which are sometimes referred to as "roll programs," are still proliferating.
	www.federalreserve.gov /oig/oig_hotline_press.htm (263 words)

	Prime number - Will Edgington's Mersenne Page (Site not responding. Last check: 2007-11-07)
		Almost prime numbers are the non-prime numbers which are divisible by only a single prime number.
		Formulae to compute prime numbers There is no polynomial which gives all the prime numbers If so, then indeed, there are formulas for the prime numbers.
		Mersenne Project Discovers Largest Known Prime Number An integer greater than one is called a prime number if its only divisors are one and itself.
	factoring.allworldsites.com /q/factoring-prime-number.htm (271 words)

	Illegal immigrant figure revealed - Stormfront White Nationalist Community (Site not responding. Last check: 2007-11-07)
		Up to 570,000 illegal immigrants are living in the UK, according to the first Home Office estimate published.
		Ministers have not previously published an estimate of the number of illegal immigrants.
		Prime Minister Tony Blair has said in the past it was impossible.
	www.stormfront.org /forum/showthread.php?t=214852 (667 words)

	Wikinfo \| Prime number (Site not responding. Last check: 2007-11-07)
		It is the 64th smallest maximal gap, and it occurs after the prime 1693182318746371.
		The set {2,3,5,7,11,...} (sometimes denoted by a flboard bold 'P', P) is the primes over the natural numbers.
		Images, some of which are used under the doctrine of Fair use or used with permission, may not be available.
	www.wikinfo.org /wiki.php?title=Prime_number (2166 words)

	FrontPage magazine.com :: 21st Century Minutemen by Mark Landsbaum (Site not responding. Last check: 2007-11-07)
		The barren stretch is a prime illegal entry point along the Mexico-Arizona border, where last year the U.S. Border Patrol detained 490,000 illegal aliens, nearly half of the 1.1 million caught along the two nation’s entire common border.
		Significantly, apprehension of illegals by the U.S. Border Patrol have ranged from half to one-third the daily number caught prior to initiating the volunteer effort, a testimony that not only have Minuteman Project volunteers been instrumental in helping U.S. authorities apprehend illegal aliens, but also in deterring them.
		By some estimates, five illegal aliens slip through for every one apprehended, a considerable number considering more than one million were caught sneaking into the country in 2004 alone.
	www.frontpagemag.com /Articles/ReadArticle.asp?ID=17788 (1853 words)

	Search Tuna Report for probable prime code (Site not responding. Last check: 2007-11-07)
		In mathematics, a prime number, or prime for short, is a natural number greater than one whose only distinct positive divisors are one and itself....
		The large prime database of the records the top 20 primes of various special forms one of them is proof of primality using the ECPP algorithm....
		All prime factors were proven probable prime using GMPFAC upon completion of the sequence, PPMPQS was used to rigorously prove primality for all but two of the prime factors....
	www.searchtuna.com /ftlive2/3821.html (1149 words)

	[No title]
		Prime Ministers Howard and Blair, with President Bush, are threatening to start their mass murdering of Iraqis as early as this week.
		Prime Minister Howard spoke to the Press Club of all that we have heard before, but he did not address the legality of this war; he knows the war will be illegal or else he is of unsound mind.
		Prime Minister Howard had the right to appoint yourself as Governor-General and Commander-in-Chief of the Armed Forces and then to stand by you when there was a public clamour for your resignation.
	www.zibycom.com /members/002279015/Site3/index13.html (10435 words)

	The Furcadian Primes (Site not responding. Last check: 2007-11-07)
		Worshipping a Dark Prime is illegal in Kasurian cities and punishable by death.
		The Primes have individual strange powers, and they are most powerful in their own pocket universe (Wevvin and Sek share a single one and they're usually not home).
		If a Dark Prime's specific identity is guessed, he or she loses the ability to use power upon, or directly harm that person-- this is a plot device to keep their influence -subtle-.
	www.realtime.net /~pixel/Fur/primes02.htm (3327 words)

	The Prime Glossary: illegal prime (Site not responding. Last check: 2007-11-07)
		So what has this all to do with prime numbers? At first glance: nothing. But everything stored on a computer, including poems, pictures, spreadsheets and programs, are stored as a sequence of binary bits--so they are simply numbers. Phil Carmody decided to make a version of DeCSS which was a prime number.
		By Dirichlet's theorem on primes in arithmetic progression, we know that for each fixed integer b relatively prime to k, there are infinitely many primes ak+b.
		At the time these were found the second was large enough to fit on the list of largest known primes (because of the method of proof).
	primes.utm.edu /glossary/page.php?sort=Illegal (341 words)

	An Executable Prime Number?
		The answer to the question "what is the shortest possible executable prime?" must be accompanied with a definition of OS and processor - but it appeared that I had free rein.
		Several of the 8-bit numbers which yield a prime are not single-byte instructions on the x86, so they're out, and some (7, 14, 22) mess with the stack, and cause the following RET to jump into outer space.
		The current largest proven prime with no special form is 5020 digits, 16677 bits, or 2085 bytes.
	asdf.org /~fatphil/maths/illegal.html (2018 words)

	Illegal prime at opensource encyclopedia (Site not responding. Last check: 2007-11-07)
		In March 2001, Phil Carmody discovered a prime number whose binary representation corresponds to the compressed C source code of a computer program implementing the DeCSS decryption scheme and which is hence illegal under the Digital Millennium Copyright Act.
		However, this has never been tested in a court, and it is possible that the number itself would be found to be legal, but not the information on how to use it to view DVDs.
		Following this, Carmody also created an executable illegal prime.
	www.wiki.tatet.com /Illegal_prime.html (346 words)

	Prime Curios!: 48565...29443 (1401-digits) (Site not responding. Last check: 2007-11-07)
		When written in base 16 (hexidecimal), this prime forms a gzip file of the original C-source code (sans tables) that decrypts the DVD Movie encryption scheme (DeCSS).
		It is apparantly illegal to distribute this source code in the United States, so does that make this number (found by Phil Carmody) also illegal?
		A Perl program for extracting the source code from this prime number was written by Jamie McCarthy.
	primes.utm.edu /curios/page.php?number_id=953 (111 words)

	TBTF Log, week of 2001-03-11
		A mathematician has generated a prime number which, by a suitable application of twisted legal logic, may be construed as being illegal in the United States.
		If you were to write this same number in hexadecimal form, they say, it would be a gzip file of the original form of DeCSS -- a C program that decrypts DVD movies.
		Brad Threatt wrote to note that the tables needed to actually compile and use this code are missing.
	tbtf.com /blog/2001-03-11.html (492 words)

	[No title] (Site not responding. Last check: 2007-11-07)
		As you know mathematicians are very interested in prime numbers, with their intriguing properties & applications to things like cryptography, etc. For example 2 years ago, the largest known prime (2^6972593-1) was discovered.
		Well this week mathematicians discovered the first ILLEGAL prime number.
		Last year a Judge in New York ruled that distribution of this program, which allows you to play YOUR DVDs on YOUR computer, is illegal because it violates the Draconain DMCA (Digital Millenium Copyrite Act).
	www.astro.ucla.edu /~chris/DeCSS/prime.number (129 words)

	Illegal action prime priority on ICC agenda - Deccan Herald (Site not responding. Last check: 2007-11-07)
		Illegal action prime priority on ICC agenda - Deccan Herald
		Illegal action prime priority on ICC agenda »
		The ICC Cricket Committee (Playing), chaired by former Indian skipper Sunil Gavaskar, met on Thursday to discuss among other things the issue of illegal bowling action, brought into the spotlight by the recent developments involving Sri Lankan off-spinner Muttiah Muralitharan.
	www.deccanherald.com /deccanherald/may142004/sp5.asp (566 words)

	Search results for Ulam Spiral - 080804 (Site not responding. Last check: 2007-11-07)
		The Prime Number Spiral (aka the Ulam Spiral) is formed by marking the prime numbers in a spiral arrangement of the natural numbers.
		Prime Number Spiral The Prime Number Spiral (aka the Ulam Spiral) is formed by marking the prime numbers in a spiral arrangement of the natural numbers.
		Prime Number Spiral 6.44, The Prime Number Spiral (aka the Ulam Spiral) is formed by marking the prime numbers in a spiral arrangement of the natural numbers.
	www.imathination.net /links_ulam_spiral_080804.htm (4532 words)

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