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== Background == == Background ==
hi klgfcd llfyi
A number may represent some type of ] or ], legal to possess only by certain authorized persons. An ] (09 F9 11 02 9D 74 E3 5B D8 41 56 C5 63 56 88 C0) that came to prominence in May 2007 is an example of a number claimed to be a secret, and whose publication or inappropriate possession is claimed to be illegal in the United States. It allegedly assists in the decryption of any ] or ] released before this date. The issuers of a series of cease-and-desist letters claim that the key itself is therefore a copyright circumvention device,<ref>{{cite web |title=AACS licensor complains of posted key |date=April 17, 2007 |url=https://www.lumendatabase.org/notices/21725# |work=] |quote=Illegal Offering of Processing Key to Circumvent AACS Copyright Protection are thereby providing and offering to the public a technology, product, service, device, component, or part thereof that is primarily designed, produced, or marketed for the purpose of circumventing the technological protection measures afforded by AACS (hereafter, the "circumvention offering"). Doing so constitutes a violation of the anti-circumvention provisions of the Digital Millennium Copyright Act (the "DMCA") |access-date=December 30, 2018}}</ref> and that publishing the key violates Title 1 of the US ].

In part of the ] court order<ref name="memo">{{cite web |url=https://cyber.harvard.edu/openlaw/DVD/filings/NY/0202-mem-order.html |title=Memorandum Order, in MPAA v. Reimerdes, Corley and Kazan |date=February 2, 2000 |access-date=December 30, 2018}}</ref> and in the AACS legal notices, the claimed protection for these numbers is based on their mere possession and the value or potential use of the numbers. This makes their status and legal issues surrounding their distribution quite distinct from that of ].<ref name="memo" />]Any image file or an executable program<ref>{{cite web |url=https://primes.utm.edu/curios/page.php?number_id=953 |title=Prime Curios: 48565...29443 (1401-digits) |quote=What folks often forget is a program (any file actually) is a string of bits (binary digits)—so every program is a number. |access-date=December 30, 2018}}</ref> can be regarded as simply a very large ]. In certain jurisdictions, there are images that are illegal to possess,<ref>{{cite web|url=https://www.legislation.gov.uk/ukpga/1988/33/contents#attrib |title=Criminal Justice Act 1988 |access-date=December 30, 2018}}</ref> due to ] or secrecy/classified status, so the corresponding numbers could be illegal.<ref name="carmody2" /><ref>{{cite book |title=Prime Numbers: The Most Mysterious Figures in Math |first=David |last=Wells |publisher=Wiley |year=2011 |pages=126–127 |section=Illegal prime |isbn=9781118045718}}</ref>

In 2011 Sony sued ] and members of fail0verflow for ] the ].<ref>{{cite web |url=https://www.engadget.com/2011/01/12/sony-follows-up-officially-sues-geohot-and-fail0verflow-over-ps/ |title=Sony follows up, officially sues Geohot and fail0verflow over PS3 jailbreak |first=Nilay |last=Patel |work=] |date=January 12, 2011 |access-date=December 30, 2018}}</ref> Part of the lawsuit complaint was that they had published PS3 keys. Sony also threatened to sue anyone who distributed the keys.<ref name="ars11">{{cite web |url=https://arstechnica.com/gaming/2011/02/sony-lawyers-now-targeting-anyone-who-posts-playstation-3-hack/ |title=Sony lawyers now targeting anyone who posts PlayStation 3 hack |first=David |last=Kravets |date=February 8, 2011 |publisher=Ars Technica |access-date=December 30, 2018}}</ref> Sony later accidentally retweeted an older ] key through its fictional ] character.<ref>{{cite web |url=https://www.engadget.com/2011/02/09/ps3-jailbreak-code-retweeted-by-sonys-kevin-butler-no-punchl/ |title=PS3 'jailbreak code' retweeted by Sony's Kevin Butler, no punchline needed |first=Ross |last=Miller | date=February 9, 2011 |publisher=Engadget |access-date=December 30, 2018}}</ref>


== Flags and steganography == == Flags and steganography ==

Revision as of 23:13, 15 September 2022

A number that represents information which is illegal in some legal jurisdiction
Free Speech flag, from the HD DVD AACS case

An illegal number is a number that represents information which is illegal to possess, utter, propagate, or otherwise transmit in some legal jurisdiction. Any piece of digital information is representable as a number; consequently, if communicating a specific set of information is illegal in some way, then the number may be illegal as well.

Background

hi klgfcd llfyi

Flags and steganography

The word "Misplaced Pages" translated into colors via hex codes.

As a protest of the DeCSS case, many people created "steganographic" versions of the illegal information (i.e. hiding them in some form in flags etc.). Dave Touretzky of Carnegie Mellon University created a "Gallery of DeCSS descramblers". In the AACS encryption key controversy, a "free speech flag" was created. Some illegal numbers are so short that a simple flag (shown in the image) could be created by using triples of components as describing red-green-blue colors. The argument is that if short numbers can be made illegal, then anything based on those numbers also becomes illegal, like simple patterns of colors, etc.

In the Sony Computer Entertainment v. Hotz case, many bloggers (including one at Yale Law School) made a "new free speech flag" in homage to the AACS free speech flag. Most of these were based on the "dongle key" rather than the keys Hotz actually released. Several users of other websites posted similar flags.

Illegal primes

An illegal prime is an illegal number which is also prime. One of the earliest illegal prime numbers was generated in March 2001 by Phil Carmody. Its binary representation corresponds to a compressed version of the C source code of a computer program implementing the DeCSS decryption algorithm, which can be used by a computer to circumvent a DVD's copy protection.

Protests against the indictment of DeCSS author Jon Lech Johansen and legislation prohibiting publication of DeCSS code took many forms. One of them was the representation of the illegal code in a form that had an intrinsically archivable quality. Since the bits making up a computer program also represent a number, the plan was for the number to have some special property that would make it archivable and publishable (one method was to print it on a T-shirt). The primality of a number is a fundamental property of number theory and is therefore not dependent on legal definitions of any particular jurisdiction.

The large prime database of The Prime Pages website records the top 20 primes of various special forms; one of them is proof of primality using the elliptic curve primality proving (ECPP) algorithm. Thus, if the number were large enough and proved prime using ECPP, it would be published.

Other examples

There are other contexts in which smaller numbers have run afoul of laws or regulations, or drawn the attention of authorities.

  • In 2012, it was reported that the numbers 89, 6, and 4 each became banned search terms on search engines in China, because of the date (1989-06-04) of the June Fourth Massacre in Tiananmen Square.
  • Due to the association with gangs, in 2012 a school district in Colorado banned the wearing of jerseys that bore the numbers 18, 14, or 13 (or the reverse, 81, 41, or 31).
  • In 2017, far-right Slovak politician Marian Kotleba was criminally charged for donating 1,488 euros to a charity. The number is a reference to a white supremacist slogan and the Nazi salute.

See also

References

  1. Carmody, Phil. "An Executable Prime Number?". Retrieved December 30, 2018. Maybe I was reading something between the lines that wasn't there, but if arbitrary programs could be expressed as primes, the immediate conclusion is that all programs, including ones some people wished didn't exist, can too. I.e. the so called 'circumvention devices' of which my previous prime exploit was an example.
  2. Greene, Thomas C. (March 19, 2001). "DVD descrambler encoded in 'illegal' prime number". The Register. Retrieved December 30, 2018. The question, of course, is whether an interesting number is illegal merely because it can be used to encode a contraband program.
  3. "The Prime Glossary: illegal prime". Retrieved December 30, 2018. The bottom line: If distributing code is illegal, and these numbers contain (or are) the code, doesn't that make these number illegal?
  4. S., Ben (March 1, 2011). "46-dc-ea-d3-17-fe-45-d8-09-23-eb-97-e4-95-64-10-d4-cd-b2-c2". Yale Law Tech. Retrieved December 30, 2018.
  5. See File:Free-speech-flag-ps3.svg description.
  6. "Prime glossary - Illegal prime". Primes.utm.edu. 1999-10-06. Retrieved 2013-03-26.
  7. Hamilton, David P. "Banned Code Lives in Poetry and Song"
  8. MacKinnon, Mark (June 4, 2012). "Banned in China on Tiananmen anniversary: 6, 4, 89 and 'today'". The Globe and Mail. Retrieved December 30, 2018.
  9. Meyer, Jeremy P. (September 5, 2012). "Greeley school ban on gang numbers includes Peyton Manning's 18". The Denver Post. Retrieved December 30, 2018.
  10. "Police charge leader of Slovak far-right party with extremism". July 28, 2017. Retrieved December 30, 2018.

External links

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