41. ÒµÓàÊýѧÌìµØ-ÊýÂÛ֪ʶ 8, 2 216091 1, 65050, David Slowinski, 1985, Mersenne 31. 9, 2 132049 -1, 39751,David Slowinski, 1983, Mersenne 30. 11, 2 86243 -1, 25962, David Slowinski, 1982,Mersenne 28. http://extend.hk.hi.cn/~zzm/basic.htm

Amatuer Mathmatics World ÄÇ´ËØÊýµ½µ×ÓжàÉÙ¸öÄØ?ÔçÔÚ2000¶àÄêÇ°µÄ¹ÅÏ£À°,Å·¼¸ÀïµÂ¾ÍÓ·´Ö¤·¨½â¾öÁËÕâ¸öÎÊÌâ,ÔÚËûµÄ²»ÐàûÖø<¼¸ºÎÔ­±¾>µÄµÚËľíüÌâ20ÖÐÊÇÕâÑùÐðÊöµÄ:"Ô¤Ïȸø¶¨¼¸¸öËØÊý,ÔòÓбÈËûǸü¶àµÄËØÊý."ËûÊÇÕâÑùÖ¤÷µÄ:Éèa,b,cÊǸø¶¨µÄËØÊý,¹¹ÔìÒ»¸öÊý:t:t=a*b*c+1,ÔòÒÑÓеÄËØÊýa,b,c¾ù²»ÄÜÕû³ýt,ËùÒÔÒª´t±¾Éí¾ÍÊÇËØÊý,´Ëʱt²»µÈÓÚa,b,cÖÐÈÎÒâÒ»¸öÊý;Òª´ËûÄܱ»²»Í¬ÓÚa,b,cµÄij¸öËØÊýÕû³ý,Òò´Ë±ØÈ»´æÔÚÒ»¸öËØÊýp²»Í¬ÓÚÒÑÓÐËØÊýa,b,c.ÀýÈç:2X3X5+1=31,3X5X7+1=106=2X53.Ò»°ãµØ,ÓÐÁËn¸öËØÊý,¾Í¿ÉÒÔ¹¹Ôì³ön+1¸öËØÊý,Òò´ËËØÊýÓÐÎÞÇî¶à. ËØÊýµÄ·Ö²¼Ò²ºÜ²»¾ùÔÈ,ϱíÊǵ½Ä¿Ç°ÎªÖ¹ËùÖªµÄСÓÚxµÄËØÊýµÄ¸öÊýpi(x) x pi( x ftp://entropia.com/gimps/prime95.zip http://www.utm.edu/research/primes/ Nayan, Woltman, Kurowski Mersenne 38 Clarkson, Woltman, Kurowski Mersenne 37 Spence, Woltman Mersenne 36 Armengaud, Woltman Mersenne 35 Mersenne 34 Mersenne 33 Mersenne 32 David Slowinski Mersenne 31 David Slowinski Mersenne 30 Mersenne 29 David Slowinski Mersenne 28 Mersenne 27 L. Curt Noll Mersenne 26 Mersenne 25 Bryant Tuckerman Mersenne 24 Donald B. Gillies

42. K. Slowinski 34243. K. Slowinski Improve the tracing of pictures with invisible lines. Tech.Rep. it-189, LIFL, Univ. Lille 1, France, July 1990. David Simplot's Home Page http://www.lifl.fr/~simplot/lf2d/docs/Slowinski-K.html

K. Slowinski Publications P. S ÉÉBOLD AND K. S LOWINSKI Redundant retreat-free word In Mathematical Aspects of Natural Languages (1994), G. Paun, Ed., World Sci. Publi., Singapour, pp. 419-430. G. P AUN , D. R OBILLIARD AND K. S LOWINSKI Connected pictures and minimal words with blank moves In Proc. Automata and Formal Languages (AFL'96) (Salgótarján, Hongrie, 1993), vol. 48 (1996) of Publicationes Mathematicae , Institum Mathematicum Universitatis Debreceniensis, pp. 375-387. K. S LOWINSKI Picture words with invisible lines Theoretical Computer Science 108 K. S LOWINSKI Systèmes de Réécriture et Langages de Mots de Figure PhD thesis, Univ. Lille 1, France, April 1993. in french. D. B EAUQUIER , M. L ATTEUX AND K. S LOWINSKI A decidability result about convex polyominoes In Proc. Latin American Theoretical Informatics (LATIN'92) (Sao Paulo, Brazil, 1992), I. Simon, Ed., vol. 583 of Lecture Notes in Computer Science , Springer-Verlag, Berlin, pp. 32-45. P. S ÉÉBOLD AND K. S LOWINSKI The shortest way to draw a connected picture Computer Graphics Forum 10 P. S

43. BD-reduction-pw 34243. K. Slowinski Improve the tracing of pictures with invisible lines. Tech.Rep. David Simplot's Home Page - Research Project/Projet de Recherche http://www.lifl.fr/~simplot/lf2d/docs/BD-reduction-pw.html

F. J. B RANDENBURG AND J. D ASSOW Reduction of picture words. Tech. Rep. MIP 8905, Univ. Passau, Germany, 1989. Wanted !!! If you have got this paper, I would be very interested to be informed. Si vous avez cet article, je serais très intéressé d'en être informé. Citations G. P AUN , D. R OBILLIARD AND K. S LOWINSKI Connected pictures and minimal words with blank moves In Proc. Automata and Formal Languages (AFL'96) (Salgótarján, Hongrie, 1993), vol. 48 (1996) of Publicationes Mathematicae , Institum Mathematicum Universitatis Debreceniensis, pp. 375-387. K. S LOWINSKI Picture words with invisible lines Theoretical Computer Science 108 P. S ÉÉBOLD AND K. S LOWINSKI The shortest way to draw a connected picture Computer Graphics Forum 10 P. S ÉÉBOLD AND K. S LOWINSKI Minimizing picture words In Proc. Aspects and Prospects of Theoretical Computer Science, 6th International Meeting of Young Computer Scientists (1990), J. Dassow, and J. Kelemen, Eds., vol. 464 of Lecture Notes in Computer Science , Springer-Verlag, Berlin, pp. 34-243. K. S

44. Slowinski Award New York, New York Slowinski, Ronald J Van Keppel, G. William Kansas City, MissouriWeaver, Chelsea R. - Salado, Arkansas Whitacre, David - Lisle, Illinois http://www.naherpetology.org/slowinskiaward.asp

The Joseph B. Slowinski Award for Excellence in Snake Systematics General Conditions of The Slowinski Award This Award will be established by the Board of Directors of The Center for North American Herpetology (CNAH) as a trust in perpetuity in recognition of the scientific achievements of the late Joseph B. Slowinski, whose life-long study on amphibians and reptiles evolution, especially venomous snakes, is amply demonstrated in his extensive academic and popular writings, photography, and scholarship. Specifications of The Slowinski Award The Slowinski Award, shall be presented once each year provided a qualified recipient is identified. In the absence of a qualified recipient, no award will be given. The award may not be divided, but must be presented in full, to a single individual. The recipient of The Slowinski Award will be chosen by a panel of at least three herpetologists, one of which will serve as chair, and which have been selected by the CNAH board of directors. These panelists are: Frank T. Burbrink (City University of New York, Staten Island), Brian I. Crother (Committee Chairperson, Southeastern Louisiana University, Hammond), and Robin Lawson (California Academy of Sciences, San Francisco). The charge to this panel is to select the most significant published contribution to snake systematics worldwide for the award year. Qualifications of The Slowinski Award Eligibility for The Slowinski Award is automatic upon the publication of a qualifying manuscript in the previous calendar year. A qualifying manuscript must have undergone peer-review prior to its publication in an English periodical or book. Additionally, the content of the publication must examine the relationships or taxonomic status of any group of snakes. The Slowinski Award panel will have full discretion as to whether a manuscript meets the eligibility requirements.

45. Reality And Other States Today's New York Times notes the passing of David Lewis and Joseph Slowinski andcontains interesting stories regarding Sandra Miranda and Abdurrahman Wahid. http://www.davidbrady.net/Notes/RealityAndOtherStates.html

Reality and Other States Today's New York Times notes the passing of David Lewis and Joseph Slowinski and contains interesting stories regarding Sandra Miranda and Abdurrahman Wahid. David Lewis was a professor of philosophy at Princeton University. He championed the idea that all conceivable worlds actually exist. According to the Times, "He believed, for instance, that there was a world with talking donkeys." I like the Times statement for its suggestion through the use of past tense that the world of talking donkeys was obliterated with Lewis's passing. Joseph Slowinski was an expert on venomous snakes. He died at age 38 as a result of krait (relative of the cobra) bite in a remote region of Myanmar. It was his 11th trip to the country. Sandra Miranda stole the credit card of a friend killed in the World Trade Center collapse and went on a shopping spree with it September 15 through 18. The theft was discovered by the victim's mother when the bill came with charges after the 11th. Mirandra's $5000 nefarious purchases included $2000 in religious figurines from a gift shop in Bensonhurst. Abdurrahn Wahid was removed from office as the President of Indonesia by legislative action on July 23. Interviewed this week "alone in his tiny office..., his hands folded quietly before him on his desktop. Blind from two strokes, he stared straight ahead, unmoving. But within his mind, behind his placid expression the world was clearly swirling with activity, scenes as extraordinary and subtle and perhaps as fantastic, as the shadow puppet shows he loves." (Seth Mydans, the Times reporter, writes flamboyantly for a newspaperman.) Despite universal celebration of his passing from the scene, Wahid expects to be returned to office by popular demand at any moment.

46. CDMA Online As New Alliances Unfold Anti-Trust Issues. Session Chairs Gene Slowinski,Alliance Management Group David Jewell, Eastman Chemical Company. http://www.cdmaonline.org/spring02_publist.html

National Proceedings for the Spring 2002 Meeting - NOW AVAILABLE! To order any of these proceedings, click here and let Headquarters know which particular presentations you are interested in. At that time, Headquarters will request either credit card information (Visa, Mastercard or AMEX) or a check will need to be mailed before proceedings are sent. Sunday, April 28, 2002 The Value of Customer Loyalty for Growing Market Share and Successfully Bringing New Products and Services to Market Chemicals and materials have been the dream sector of the 20th century. But in the 21st century, the dream for many industry segments has tarnished, particularly in the light cast by glamour segments such as pharmaceuticals and electronics. Declining growth rates and lower profitability have plagued the sector, and companies have struggled to find ways to reverse these trends. Can customer loyalty help? Judith Giordan , Aileron Flight Plan: Optimize Business Performance Live Customer Loyalty Own the Value Net Farrokh Suntook , Total Research Actionable Analytical Tools to Achive Sustainable Advantage Through Improved Customer Satisfaction and Loyalty

47. Gazeta.pl : Czasopisma : Wiedza I ¯ycie David Slowinski UZYWA CRAYA. Jej wspólodkrywca, cytowany wyzej David Slowinski,natychmiast potwierdzil prawdziwosc wyniku Joela Armengauda. http://www.wiedzaizycie.pl/98022400.htm

+ Og³oszenia Gazeta Wyborcza Wiedza i ¯ycie Poprzednie numery ... Wiedza i ¯ycie ¦roda , 2 kwietnia 2003 Obecnie w sprzeda¿y Numer 3/2003 * Miêdzy magi± a medycyn± * Przeklêty ¿ywot kata * Kto nas wrobi³ w wielk± p³ytê? * Zaginiona planeta + wiêcej ... + wiêcej W nastêpnym numerze: Jak powstaje miasto? Jak dzi¶ buduje siê miasta, ka¿dy wie. Ale jak powstawa³y miasta 10 tys. lat temu? Kto w nich mieszka³, jak budowano domy, jak wygl±da³y "szosy"? Operacja: migracja Dlaczego grupa zapaleñców uczy ¿urawie, dok±d i którêdy maj± odlatywaæ na zimê? Informacje niesprawdzone przestarza³e zbyteczne ... Studia Kalendarium 2 marca 1894 Na ¶wiat przyszed³ Aleksander Iwanowicz Oparin, biochemik, który przedstawi³ pierwsze teorie powstania ¿ycia na Ziemi. 3 marca 1845 W Sankt Petersburgu w Rosji urodzi³ siê George Cantor, matematyk, który pierwszy wprowadzi³ pojêcie mocy zbioru i wykaza³, ¿e zbiór liczb rzeczywistych jest nieprzeliczalny. 8 marca 1976 Na Jilin w Chinach spad³ meteoryt o masie 1,7 tony - najwiêkszy znaleziony na Ziemi fragment materii kosmicznej. 10 marca 1876 "Watson, proszê przyj±æ tutaj! Pilnie pana potrzebujê" - powiedzia³ Alexander Graham Bell do swego asystenta znajduj±cego siê w s±siednim pokoju. By³y to pierwsze na ¶wiecie s³owa przekazane przez telefon.

48. Baker & McKenzie || Lawyers || List By Place || LocationDetails Slowinski, Richard L. Washington DC, richard.l.Slowinski@bakernet.com. Swenson,C. David, Washington DC, c.David.swenson@bakernet.com. http://www.bakerinfo.com/BakerNet/Lawyers/List by Place/LocationDetails.htm?Loca

49. Baker & McKenzie || Lawyers || Alphabetical Listing || S com. Simonek, David, Prague, David.simonek@bakernet.com. Sims com. Slowinski,Richard L. Washington DC, richard.l.Slowinski@bakernet.com. Small http://www.bakerinfo.com/BakerNet/Lawyers/Alphabetical/S/

Home Firm Profile Careers Practice ... Z S Partner names are hyperlinked. Click on a hyperlinked name to view the partner's CV. Lawyers marked with an * are not admitted in the jurisdiction in which their office is located. Attorney Name: Office: E-Mail: Sa, Bruna Maria P.S E. Sao Paulo bruna.e.sa@bakernet.com Saavedra, Diego Madrid diego.saavedra@bakernet.com Sebastian de Erice, Ma. Eugenia Madrid mariaeugenia.sebastian@bakernet.com Sabate, Mireia Barcelona mireia.sabate@bakernet.com Sadler, Robert W. London robert.sadler@bakernet.com Saenz de Santa Maria, Fernando J. Santiago ... fernando.saenz@bakernet.com Sagaon-Garza, Carlos Juarez carlos.sagaon-garza@bakernet.com Sagrado, Marie Christine S. Manila christine.sagrado@bakernet.com Sahin, Ali Frankfurt ali.sahin@bakernet.com Saines, Richard M. Chicago richard.m.saines@bakernet.com Saito, Shinichi Tokyo ... shinichi.saito@bakernet.com Sakai, Masami Tokyo masami.sakai@bakernet.com Salazar-Quintana, Max E. Chicago max.salazar@bakernet.com Salazar Furiati, Maria Eugenia Caracas mariaeugenia.salazar@bakernet.com

50. The Chronology Of Prime Number Records 25962. Slowinski. 1979. 2 44497 1. 13395. David Underbakke and Phil Carmody foundthe previous record, on May 17, 2001. date, prime, digits, who. 2002, 33218925. http://perso.wanadoo.fr/yves.gallot/primes/chrrcds.html

The Chronology of Prime Number Records Contents: Largest Twin Sophie Germain Mersenne ... Comments and Suggestions The Largest Known Prime Records (see also the pages: The top 20: largest known primes On November 14, 2001, Michael Cameron, one of the members of the Great Internet Mersenne Prime Search , discovered a new prime record: , with George Woltman's program connected to Scott Kurowski's Internet PrimeNet Server date prime digits who Cameron Woltman Kurowski , et. al. ( GIMPS Hajratwala Woltman Kurowski , et. al. ( GIMPS Clarkson Woltman Kurowski , et. al. ( GIMPS Spence Woltman , et. al. ( GIMPS Armengaud Woltman , et. al. ( GIMPS Slowinski and Gage Slowinski and Gage Slowinski and Gage Brown Noll Parady ... Smith J. and Zarantonello Slowinski Slowinski Slowinski ... Nelson and Slowinski Noll Nickel and Noll Tuckerman Gillies Hurwitz Riesel Robinson Robinson Miller and Wheeler Ferrier Lucas Landry Looff Euler The Twin Prime Records (see also the pages: The top 20: twin primes Twin primes are primes of the form p and p +2, i.e., they differ by two.

51. Title Last week Paul Gage and David Slowinski of the Cray Research Unit announced thatthey had broken their previous record from 1994 and discovered a prime number http://www.maths.ox.ac.uk/~dusautoy/2soft/primesus.htm

1.-Would you like to enter the Guinness Book of Records for discovering the biggest prime so far? Last week Paul Gage and David Slowinski of the Cray Research Unit announced that they had broken their previous record from 1994 and discovered a prime number with 378,632 digits. Using a Cray T94 supercomputer, one of the most powerful computers in existence, they took only six hours to check that this huge number could not be written as the product of two smaller numbers. 2.-But now, thanks to programmer George Woltman in Florida, armed only with a Pentium PC and access to the internet, you too could earn a place in prime number history. It may seem foolhardy to play David to the Goliath of Cray's supercomputers, but Woltman believes that the combined forces of hundreds of PCs, co-ordinated via the internet, can claim the prize for the next largest prime. 3.-Woltman has devised software especially tuned to a Pentium PC which hunts for big primes when your PC is idle. Since January he has co-ordinated, via his web site, a growing army of PCs which now numbers 430. "There is no way a lone computer can compete with supercomputers, but if we work as a team we can accomplish a great deal."

52. Wayne Slowinski Cyberspace Morning/Noon/Night Wayne Slowinski. Let him step to the musicwhich he hears, however measured or far away. Henry David Thoreau. http://www.kaukauna.k12.wi.us/~slowinskiw/

W ayne's W eb W orks "From a simple mind comes simple designs" Kaukauna High School Guitar Instructor Cyberspace - Morning/Noon/Night Wayne Slowinski River View MS - Mornings Kaukauna HS - Afternoons W ebmaster of these ubiquitous aleatoric web pages! River View MS Home Page Celebrate The Guitar KHS Guitar Class Home Page KHS Music Department Home Pages Kimberly Paperfest "If a man does not keep pace with his companions, perhaps it is because he hears a different drummer. Let him step to the music which he hears, however measured or far away." Henry David Thoreau "I am the webmaster that goes quack in the night" Darkwing Duck (I think)

53. Portage County, Wisconsin Public Library: Donors In honor of David and Cindy Worth Dan Houlihan Ann Kropp* Daniel F. Donna Marx*Wallace Mary Lou Reabe Gary Slowinski Grace Skibicki Barbara Roman Brad http://library.uwsp.edu/pcl/donor98.htm

Library About the Library Ask a question Meeting Rooms Group Events and Programs ... PCPL Main Page Library Catalog Search Renewals Update Patron Information Magazine Indexes Magazine Index and more Internet Internet Links Community Links Wisconsin Links Local Electronic Resources ... Shortcuts Youth Services For Children Kids Teens 2001 DONORS Memorials: In memory of Sarah Eagon In memory of Irene Wagner In memory of Gordon Larson In memory of Helen Hibbitts In memory of Marie Boylan In memory of Fannie Hanson In memory of Glenn Attoe In memory of Elizabeth Parkinson In memory of Larry Ruch The library received gifts of cash to purchase items: In honor of David and Cindy Worth In honor of Bob Schultz The library thanks the following people for their non-memorial cash gifts received during 2001: Friends of Aviation Dan Houlihan U.P.S. Matching Gift* St. Pt. Jr. Woman’s Club

54. Untitled SGI Employee 2^217011 6533 1978 Landon Curt Noll (with Laura Nickel) 2^23209-16987 1979 Landon Curt Noll 2^44497-1 13395 1979 David Slowinski (with Harry http://www.mat.uc.pt/~jaimecs/arqsem/ARQSEMm9-96.html

Date: Fri, 13 Sep 1996 12:47:56 LISBOA Reply-To: sem@cc.fc.ul.pt Originator: sem@cc.fc.ul.pt Sender: sem@cc.fc.ul.pt Precedence: bulk From: ejp@cc.fc.ul.pt To: sem@cc.fc.ul.pt Subject: Sumarios do ESM Date: Fri, 13 Sep 1996 12:49:38 LISBOA Reply-To: sem@cc.fc.ul.pt Originator: sem@cc.fc.ul.pt Sender: sem@cc.fc.ul.pt Precedence: bulk From: ejp@cc.fc.ul.pt To: sem@cc.fc.ul.pt Subject: Sumarios do JRME Date: Fri, 13 Sep 1996 12:50:29 LISBOA Reply-To: sem@cc.fc.ul.pt Originator: sem@cc.fc.ul.pt Sender: sem@cc.fc.ul.pt Precedence: bulk From: jaimecs@mat.uc.pt To: sem@cc.fc.ul.pt Subject: 2^1257787-1 http://www.utm.edu/research/primes/notes/1257787.html http://www.sjmercury.com/business/compute/prime.htm http://reality.sgi.com/csp/ioccc/noll/prime/prime_press.html http://ourworld.compuserve.com/homepages/justforfun/prime.htm ... http://www.utm.edu/research/primes/largest.html Jaime Carvalho e Silva, Univ. Coimbra, Portugal http://www.mat.uc.pt/~jaimecs/index.html Date: Fri, 13 Sep 1996 12:51:01 LISBOA Reply-To: sem@cc.fc.ul.pt Originator: sem@cc.fc.ul.pt Sender: sem@cc.fc.ul.pt Precedence: bulk From: Ana.Paiva@inesc.pt

55. FALL_AWARDS_1998 Patrick Price, Travis Johnson, Charlie Whetzel; Seniors Shawn Slowinski, Chris Landes 2ndyear Brett Walton, Brian Buckner, John Marshall, David McIntyre, Ryan http://tahsfc.rockingham.k12.va.us/~sweaver/ATHLETICS/FallAthletics/FALL_AWARDS_

TURNER ASHBY HIGH SCHOOL Fall Athletic Awards 1998 Golf Boys Cross Country Girls Cross Country Varsity Football ... Training Staff Golf Coach: Tim Clary Record: Tied for 3rd in District Tournament/ 19-31 Captains: Shawn Slowinski, Patrick Price 1st Year: Chris Landes, John Taylor, Aaron Rummel 2nd Year: Shawn Slowinski, Jason Gilkeson 3rd Year: Patrick Price, Travis Johnson, Charlie Whetzel Seniors: Shawn Slowinski, Chris Landes, Patrick Price Team Award: MVGolfer-Charlie Whetzel Post-Season: Charlie Whetzel-1st Place Valley District Tourney, 5th in Region, State AA Qualifier JV Participants: Garrett King, Jason Burch, Dusty Moyer, Mike Zucconi, Matt Kenney JV Record: 4-1 Return to top Boys Cross Country Coach: Dwight Denlinger Assistant: Matt Eberly Record: 2nd in Valley District/7th in Region II Meet Captain: Brian Cohee 1st year: Corey Shull, Chris Kiser, Steve Tennyson 2nd year: Brett Walton, Brian Buckner, John Marshall, David McIntyre, Ryan Walker 3rd year: Brian Cohee, Jason Hart

56. WINTER_AWARDS_2000-2001 Mark Flora, David Metzler, Richie Pariseault, Adam Purcell, Nathaniel Shank, JeremyWhitmore, Adam Wright; 2nd Place John Marshall, Scott Slowinski; 3rd Place http://tahsfc.rockingham.k12.va.us/~sweaver/ATHLETICS/WinterAthletics/WINTER_AWA

TURNER ASHBY HIGH SCHOOL Winter Athletic Awards 2000 - 2001 Varsity Boys Basketball Varsity Volleyball Gymnastics JV Boys Basketball ... AthleticTraining Staff Varsity Boys Basketball Head Coach: John Woodrum Assistants: Mark Palmer, Von Lewis, Ricky Dierker, Michael Bryant Record: 8 - 13 (6th place) Captains: Thomas Barber, Chad Pence, Charlie Whetzel Team Awards: Most Valuable Player - Thomas Barber Hustle Award - Chad Pence Coaches Award - Scott Showalter Free Throw Award - Brandon Shields Seniors: Thomas Barber, Chad Pence, Charlie Whetzel 1st year: Brian Bocock, Cam Gardner, Nick Marshman, Brandon Shields, Scott Showalter, Clark Simmers 2nd year: Sean Loso, Chad Pence, Brett Walton, Charlie Whetzel 3rd year: Thomas Barber Managers: Ryan Hildebrand, Andrew Palmer, Matthew Ridgeway, Matt Ritchie, Matt Wright Return to the top Junior Varsity Boys Basketball Coach: Von Lewis Record: 16 - 4 Captains: Wes Bird, Ethan Boyle, Ben Gardner, Travis Reznik Participants: Jon Alley, Josh Arbogast, Wes Bird, Ethan Boyle, Ben Gardner, Chase Jarvis, Zach Lowe, Justin Moyers, Mike Racca, Travis Reznik, Matt Reish, Kam Tembo, Jeff Wilharm

57. The Largest Known Primes 1992, Peterson92. 2 216091 1, 65050, David Slowinski, 1985, 2 132049-1, 39751, David Slowinski, 1983, See our page on Mersenne numbers http://primes.utm.edu/largest.html

The Largest Known Primes (A historic Prime Page resource since 1994!) Contents: Introduction (What are primes? Who cares?) The Top Ten Record Primes largest twin ... Mersenne , and Sophie Germain The Complete List of the Largest Known Primes Other Sources of Prime Information Euclid's Proof of the Infinitude of Primes Note: The correct URL for this page is http://www.utm.edu/research/primes/largest.html 1. Introduction An integer greater than one is called a prime number if its only positive divisors (factors) are one and itself. For example, the prime divisors of 10 are 2 and 5; and the first six primes are 2, 3, 5, 7, 11 and 13. ( The first 10,000 , and other lists are available). The Fundamental Theorem of Arithmetic shows that the primes are the building blocks of the positive integers: every positive integer is a product of prime numbers in one and only one way, except for the order of the factors. (This is the key to their importance: the prime factors of an integer determines its properties.) The ancient Greeks proved (ca 300 BC) that there were infinitely many primes and that they were irregularly spaced (there can be arbitrarily large gaps between successive primes ). On the other hand, in the nineteenth century it was shown that the number of primes less than or equal to

58. The Largest Known Primes An integer greater than one is called a prime number if its only positive divisors (factors) are one Category Science Math Number Theory Prime Numbers...... The Five Largest Known Primes On January 4, 1994 David Slowinski announced on theinternet that he and Paul Gage have found a new record prime 2^8594331. The http://www.math.unicaen.fr/~reyssat/largest.html

The Largest Known Primes Contents: Introduction (What are primes? Who cares?) The "Top Ten" Record Primes The Complete List of the Largest Known Primes Other Sources of Prime Information ... Comments? Suggestions? New records? New Links? Related Local Documents: Finding (and Proving) Primes Note: The most recent version of the Largest Known Primes home page (this document) can always be found at http://www.utm.edu/research/primes/largest.html Introduction An integer greater than one is called a prime number if its only positive divisors (factors) are one and itself. For example, the prime divisors of 10 are 2 and 5; and the first six primes are 2, 3, 5, 7, 11 and 13. The Fundamental Theorem of Arithmetic shows that the primes are the building blocks of the positive integers: every positive integer is a product of prime numbers in one and only one way, except for the order of the factors. The ancient Greeks proved (ca 300 BC) that there were infinitely many primes and that they were irregularly spaced (there can be arbitrarily large gaps between successive primes). On the other hand, in the nineteenth century it was shown that the number of primes less than or equal to n approaches n /(ln n ) (as n gets very large); so a rough estimate for the

59. Ndatech.com/mersenne/archives/digest/v01_0915.txt I hope George will correct me if I'm wrong. David Slowinski contacted George,asking him wether Prime95 could test numbers 1 million bits. http://ndatech.com/mersenne/archives/digest/v01_0915.txt

Delivered-To: luke@ndatech.com X-Sender: rugeley@pop3.demon.co.uk X-Mailer: QUALCOMM Windows Eudora Version 5.1 Date: Sat, 15 Dec 2001 22:45:08 +0000 To: Luke Welsh From: mersenne-digest-invalid-reply-address@base.com (Mersenne Digest) (by way of Gordon Spence ) Subject: Mersenne Digest V1 #915 Mersenne Digest Wednesday, December 5 2001 Volume 01 : Number 915 Date: Wed, 05 Dec 2001 13:10:14 -0500 From: Nathan Russell On 5 Dec 2001, at 6:09, ribwoods@execpc.com wrote: There is no evidence of any verified residuals being incorrect. Neither is there any evidence that any verified factors are incorrect. Whatever theory states, the experimental evidence is that verified factors are no more (or less) reliable than verified LL tests. Suppose a taxi firm runs 10 Fords and 10 Hondas for a year. None of them break down. On that basis alone, there is no evidence whatsoever that one make is more reliable than the other. Naturally, other companies' experimental evidence may vary. > > [ big snip ] > There is a small chance that we may accept an incorrect factor even > after double-checking it, but that chance is even smaller than the > small chance that we may accept an incorrect double-checked L-L > residual.

60. Ticker Coverage APPB, Applebee's International, Restaurants, Westra, Paul Kaplan, Brandon Housey,David, APRS, Apropos, Software, Syed, Rehan, AUTN, Autonomy, Software, Slowinski,Stefan, http://research.sgcowen.com/tkr_coverage.asp

Ticker Coverage Ticker Company Industry Analyst A Agilent Technologies Enterprise/PC Hardware Chu, Richard AAA Altana Pharmaceuticals Scotcher, Kevin AAPL Apple Computer Enterprise/PC Hardware Chu, Richard ABC Amerisourcebergen Corp Souter, John ABI Applied Biosystems Biotechnology Schmidt, Eric ABT Abbott Labs Wilkin, Scott Michelmore, Sara ACL Alcon Labs Dodds, Matt Bye, Peter ACN Accenture Katri, Moshe Gershuny, Matthew ACS Affiliated Computer Services Katri, Moshe Gershuny, Matthew ACTI ActivCard Digital Media Stone, Robert Kinkade, Christopher ADI Analog Devices Semiconductors Romaine, Jack Magnuson, Eric Benjamin, Adam ... ADP Automatic Data Processing Weber, Steve Gershuny, Matthew ADVP AdvancePCS Health Care Facilities Dolliver, Kemp Hynes, Ann AEOS American Eagle Outfitters Retail Levitan, Lauren Cooks Montgomery, Elizabeth Tang, Melissa ... AET Aetna Managed Care Kroll, Ed Genova, Gregg AFCE AFC Enterprises Restaurants Westra, Paul Kaplan, Brandon Housey, David ... AGNT Argonaut Wilkin, Scott

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

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