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Wall-Sun-Sun Prime


In mathematics, a Wall-Sun-Sun prime is a certain kind of prime number. A prime ''p'' > 5 is called a Wall-Sun-Sun prime if ''p''² divides :''F''(''p'' − (''p''|5)), where ''F''(''n'') is the ''n''-th Fibonacci number and (''a''|''b'') is the Legendre symbol of ''a'' and ''b''. Wall-Sun-Sun primes are named after D. D. Wall, Zhi Hong Sun and Zhi Wei Sun; Z. H. Sun and Z. W. Sun showed in 1992 that if the first case of Fermat's last theorem was false for a certain prime ''p'', then ''p'' would have to be a Wall-Sun-Sun prime. As a result, prior to Andrew Wiles' proof of Fermat's last theorem, the search for Wall-Sun-Sun primes was also the search for a counterexample to this century-old conjecture. No Wall-Sun-Sun primes are known to date; if any exist, they must be > 1014. It has been conjectured that there are infinitely many Wall-Sun-Sun primes, but the conjecture remains unproven.

Also see

  • Wieferich prime
  • Wilson prime
  • Wolstenholme prime

  • http://primes.utm.edu/glossary/page.php?sort=WallSunSunPrime The Prime Glossary: Wall-Sun-Sun prime
  • http://www.loria.fr/~zimmerma/records/Wieferich.status Status of the search for Wall-Sun-Sun primes Category:Number theory de:Wall-Sun-Sun-Primzahl fr:Nombre de Wall-Sun-Sun

    Sun


    :: ''For the astrological significance of the Sun, see Solar system in astrology.'' :''"Solar" redirects here; for the superhero by that name, see Solar (comics).'' A sun is the star at the center of a solar system. Our sun is usually referred to as ''the'' Sun, and is occasionally referred to as Sol to distinguish it from other "suns". Planet Earth orbits the Sun, as do innumerable other bodies including other planets, asteroids, meteoroids, comets and dust. The primary stellar body around which an object orbits is called ''its'' sun, and stars in a multiple star system are referred to as the "suns" of bodies in that system.

    General information

    The Sun is a main sequence star, with a spectral class of G2, meaning that it is somewhat more massive and hotter than the average star but far smaller than a blue giant star. A G2 star is on the main sequence, and has a lifetime of about 10 billion years (10 Ga), and the Sun formed about 5 Ga (5 billion years) ago, as determined by nucleocosmochronology and computer models of stellar evolution. The Sun orbits the center of the Milky Way galaxy at a distance of about 25,000 to 28,000 light-years from the galactic centre, completing one revolution in about 226 Ma (226 million years). The orbital speed is 217 km/s, i.e. 1 light-year in ca. 1400 years, and 1 AU in 8 days. The astronomical symbol for the Sun is a circle with a point at its centre (☉). Caution: Looking directly at the Sun can damage the retina and one's eyesight. See below for details.

    Structure of the Sun

    The Sun is a near-perfect sphere, with an oblateness estimated at about 9 millionths, which means the polar diameter differs from the equatorial by 10 km at most. This is because the centrifugal effect of the Sun's rather sedate rotation is 18 million times weaker than its surface gravity (at the equator). Tidal effects from the planets do not significantly affect the shape of the Sun, although

    The Sun


    :''For other uses, see Sun (disambiguation).'' thumb|right|''The Sun's'' most famous headline ''The Sun'', a tabloid daily newspaper published in the United Kingdom, has the highest circulation of any daily English-language newspaper in the world, standing at around 3,200,000 copies daily in late-2004. The daily readership is just under 8,500,000. It is published by News Group Newspapers of News International, itself a subsidiary of Rupert Murdoch's News Corporation. Despite its mass popularity, many people hold negative views of the paper. They accuse it of being coarse and unprofessional, its journalistic style amateurish and sensationalist, and designed to appeal to individuals of limited intelligence. However, ''The Sun'' has more than twice as many readers in the http://www.businessballs.com/demographicsclassifications.htm ABC1 demographic than its upmarket stablemate The Times.

    History

    ''The Sun'' was launched in 1964 as a replacement for the ''Daily Herald'', an ailing left-wing newspaper which Mirror Group Newspapers had bought from Odhams Press and the TUC. The changes did not help circulation and in 1969 the paper was sold to Murdoch. At this point, the newspaper became a tabloid. The News of the World presses were used during the week - Murdoch had bought that Sunday newspaper the previous year - and the two papers were now managed together at the senior executive levels. The editorial content of the paper was popularised and coarsened (initially remaining loyal to the Labour Party) and the circulation increased, particularly when the Page Three Girl feature changed, on its first anniversary in 1970, from being a glamour pinup to a topless photograph, although "Page Three" was not a daily feature at first. In the two 1974 elections, the papers attitude to the Labour Party was "agnostic", according to Roy Greenslade in ''Press Gang'' (2003); the then editor, Larry (Albert) Lamb, was originally from a Labour background, with a socialist

    Third From The Sun


    in the Twilight Zone episode ''Third from the Sun'']] ''Third From the Sun'' is an episode of the television series ''The Twilight Zone''.

    Details

  • Production code:
  • Original air date: January 8, 1960
  • Writer: Rod Serling (story by Richard Matheson)
  • Director: Richard L. Bare
  • Notable cast members: Fritz Weaver, Joe Maross, Edward Andrews

    Synopsis

    Certain that a nuclear war is imminent, a scientist and a pilot plot to steal an experimental spaceship and escape with their families to a planet eleven million miles away. They are almost stopped by a government agent, but manage to overpower him. Once up in space, they wonder what their new home will be like -- from radio broadcasts, they know it is called Earth. Category:The Twilight Zone

    Sun


    I would understand if you had a list that said, "Bodies in the solar system:" but instead the title is ":" Why does it say:
    :
  • Sun If we do this, then we might as well put this on every article:
    :
  • This article I think putting a different title than ":" is the better way to go. :True, that; the standard approach for the others seems to be putting this under the section: ---- Solar system:
    Sun - Mercury - Venus - Earth - Mars - Asteroids - Jupiter - Saturn - Uranus - Neptune - Pluto - Comets :with the divider included, so I'll try it that way. -- John Owens 22:06 Apr 4, 2003 (UTC) ::Hmm, it would work better without the section at the bottom about other uses of Sun, but it might do. -- John Owens :::I agree, the other uses of Sun are annoying. In fact I find all "other uses of article" to be annoying in articles I read. oh well. ---- oh $hit, sorry, I didn't realize that all solar system objects had the same thing at the bottom including the "self-link". sorry about that, revert if you like, then go from there. A self-link actually wouldn't be bad. It was the ugly bolded Sun part that looked kind of annoying. :No, they don't include a self-link, I cut & pasted from Mercury for that so I figured it'd look silly if Mercury was bolded in the example. But I didn't change ''Sun'' like it would be in keeping with the others, that's why it wasn't bold in the example above. -- John Owens ---- I just saw what you did, it looks better than what was there before. I think because the : was on the same link as the Sun before, so it looked a bit messy. But now there is a space, as well as the divider. cool. ---- Poor Yoric, I don't think it's a good idea to load up the table with all those random factoids. Wikipedia:WikiProject Astronomical Objects has a template for data about stars, and the more stuff the Sun's table gets cluttered up with the more it diverges from

    Suns


    Auto Presentation Brazilian User, in internet 10 years ago. Topics: C, Eletronic, algorithm(huffman,range,sorting,everything), physics, experiments... Contact at irc.brasnet.org #qualquerlugar Born: 03/08/1983 In Wiki: Tiger hash function and TigerDNA

    SUNS


    SUNS (''Stockholms Unga NationalSocialister'') was a neo-Nazi organisation run by Robert Vesterlund. They published the magazine Info 14. In 1996 they changed name to Nationella Alliansen. Category:Neo-Nazi organizations sv:SUNS

    Sun ONE


    Sun ONE stands for the Sun Open Net Environment. The Sun ONE Web Server is a competent, secure, scalable, multi-platform web server. It's relatively easy to set up and administer. It was originally developed by Netscape and was first known as Netscape Enterprise Web Server, later renamed to Netscape iPlanet Web Server. Sun does not seem to be adding features since they bought it from Netscape. As a result its popularity has dropped. The web server has since been renamed again to the Sun Java System Application Server. Category:Sun software Category:Web server software


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