41. Mathematics Problems New York Dover, 1984. 238 p. $?. Ogilvy, CS Tomorrow's math, unsolved Problemsfor the Amateur. New York Oxford University Press, 1962. $?. http://www.ericweisstein.com/encyclopedias/books/MathematicsProblems.html

Mathematics Problems see also Hilbert's Problems Problem Recreational Mathematics Casablanca, Morroco: Sochepress, 1985. 305 p. Andreescu, Titu and Gelca, Razvan. Mathematical Olympiad Challenges. Artino, Ralph A.; Gaglione, Anthony M.; and Shell, Niel. The Contest Problem Book IV: Annual High School Mathematics Examinations 1973-1982. Washington, DC: Math. Assoc. Amer., 1982. 184 p. SBN: 0883856298. $13. Alexanderson, Gerald L.; Klosinski, Leonard; and Larson, Loren. The William Lowell Putnam Mathematical Competition, Problems and Solutions: 1965-1984. Washington, DC: Math. Assoc. Amer., 1986. 151 p. $23. Barbeau, Edward J.; Moser, William O.; and Lamkin, Murray S. Five Hundred Mathematical Challenges. Washington, DC: Math. Assoc. Amer., 1995. 300 p. $29.50. Belhaj Soulami, Tarik. Paris: Ellipses, 1999. 293 p. Bold, B. Famous Problems of Geometry and How to Solve Them. New York: Dover, 1964. $5.95. Bornsztein, Pierre. Supermath: 250 exercices de haut vol. Paris: Vuibert, 1999. 333 p. Brahy, Ed.

42. ABCNEWS.com : Who’s Counting?: Unsolved Math Mysteries When it comes to unsolved math problems with solutions worth $1 million,even the questions can be difficult to explain. (ABCNEWS http://abcnews.go.com/sections/scitech/WhosCounting/whoscounting_021201.html

var SectionID="SciTech"; var SubsectionID="WhosCounting"; var NameID="whoscounting_021201"; var flash = 0; var ShockMode = 0; var Flash_File_Path = "http://adimages.go.com/ad/sponsors/compaq/comp-log0169/comp-log0169a.swf"; var default_image = "http://adimages.go.com/ad/sponsors/compaq/comp-log0169/comp-log0169.gif"; var default_alttext = "visit hp.com"; var ad_width = "95"; var ad_height = "30"; on error resume next FlashInstalled = (IsObject(CreateObject("ShockwaveFlash.ShockwaveFlash.4"))) If FlashInstalled = "True" then flash = 1 End If Good Morning America World News Tonight Primetime Nightline ... This Week April 9, 2003 HOMEPAGE NEWS SUMMARY US INTERNATIONAL ... TRAVEL FEATURED SERVICES RELATIONSHIPS SHOPPING DOWNLOADS WIRELESS INTERACT BOARDS CHAT NEWS ALERTS CONTACT ABC When it comes to unsolved math problems with solutions worth $1 million, even the questions can be difficult to explain. (ABCNEWS.com) Unsolved Math Mysteries Math Problems from the Clay Classics to Chomping Cookies Commentary By John Allen Paulos Special to ABCNEWS.com

43. NPR : Wanted: Math Solutions Wanted math Solutions Seven unsolved 'Millennium problems' and a HeftyReward. audio icon Listen to Weekend Edition Saturday audio. http://www.npr.org/display_pages/features/feature_906866.html

Visit our text-only page NPR Programming List All NPR Programming Most Requested Morning Edition All Things Considered Weekend Edition Saturday Weekend Edition Sunday Talk of the Nation Talk of the Nation Science Friday Fresh Air with Terry Gross Car Talk Performance Today The Tavis Smiley Show NPR News All Things Considered Hourly News Morning Edition NPR Now Weekend Edition Saturday Weekend Edition Sunday Talk The Connection The Diane Rehm Show Fresh Air with Terry Gross The Motley Fool Radio Show NPR Talk Talk of the Nation Talk of the Nation Science Friday The Tavis Smiley Show The Todd Mundt Show Music All Songs Considered In Rehearsal Jazz Profiles JazzSet with Dee Dee Bridgewater Marian McPartland's Piano Jazz NPR Basic Jazz Record Library NPRJazz.org The NPR 100 NPR World of Opera Performance Today SymphonyCast Sunday Baroque The Thistle and Shamrock Additional Programming Along for the Ride American Radio Works Car Talk The Changing Face of America The DNA Files Justice Talking Latino USA Living On Earth Lost and Found Sound National Press Club National Story Project NOW with Bill Moyers The NPR/Kaiser/Kennedy School Polls NPR Playhouse Only A Game On the Media Present at the Creation Radio Expeditions Rewind Says You!

44. ABCNEWS.com : Who’s Counting?: Unsolved Math Mysteries When it comes to unsolved math problems with solutions worth $1 million,even the questions can be difficult to explain. (ABCNEWS http://more.abcnews.go.com/sections/scitech/WhosCounting/whoscounting_021201.htm

var flash = 0; var ShockMode = 0; var Flash_File_Path = "http://adimages.go.com/ad/sponsors/compaq/comp-log0169/comp-log0169a.swf"; var default_image = "http://adimages.go.com/ad/sponsors/compaq/comp-log0169/comp-log0169.gif"; var default_alttext = "visit hp.com"; var ad_width = "95"; var ad_height = "30"; on error resume next FlashInstalled = (IsObject(CreateObject("ShockwaveFlash.ShockwaveFlash.4"))) If FlashInstalled = "True" then flash = 1 End If Good Morning America World News Tonight Primetime Nightline ... This Week January 2, 2003 HOMEPAGE NEWS SUMMARY US INTERNATIONAL ... TRAVEL INTERACT BOARDS CHAT NEWS ALERTS CONTACT ABC When it comes to unsolved math problems with solutions worth $1 million, even the questions can be difficult to explain. (ABCNEWS.com) Unsolved Math Mysteries Math Problems from the Clay Classics to Chomping Cookies Commentary By John Allen Paulos Special to ABCNEWS.com Dec. 1 Even the mere statements of these classic unsolved problems, which include the Riemann hypothesis, Poincaré conjecture, and the P-NP problem, are difficult to understand. Happily, a just-published book

45. Andrew Unsolved Problems Page math Soft unsolved mathematics problems math Pro unsolved Problem of the Week ArchiveHvernaev unsolved Problem of the Week Archive mathematical problems of http://alas.matf.bg.ac.yu/~mm97106/math/open/unsolved.htm

Andrew Unsolved Problems Page Welcome Fermat Last Theorem Unsolved Fibonacci Problems Kurepa's Conjecture Back to Andrew Home Page Andrew Math Page Other pages Math Soft Unsolved Mathematics Problems Math Pro Unsolved Problem of the Week Archive Hvernaev Unsolved Problem of the Week Archive Mathematical problems of David Hilbert

46. Kevin's Math Page Magazines and Journals Journal Of Recreational mathematics. unsolved problems.unsolved math problems; unsolved math problems mathSoft. Fun problems To Solve. http://kevingong.com/Math/Links.html

Kevin's Math Page Home Contact Home Research ... Contact Topics: Polyominoes Egyptian Fractions Graceful Graphs 16 Puzzle ... Monty Hall Problem search by FreeFind Polyominoes Home Kevin's Home Page Math Links Magazines and Journals Journal Of Recreational Mathematics Fun Problems To Solve Macalester College Problem Of The Week Pi Ramanujan Formulae for Pi The Most Useless Pi Algorithm [humor] Misc Golomb Rulers www.ast.cam.ac.uk Golomb Rulers www.ee.duke.edu Graceful Graphs Soma Cube ... Mathematical Games, Toys, and Puzzles Kevin's Math Page

47. Mudd Math Fun Facts: Riemann Hypothesis and is one of the great unsolved problems of mathematics find it fascinating thata great unsolved problem amounts The math Behind the Fact Many other problems http://www.math.hmc.edu/funfacts/ffiles/30002.5.shtml

hosted by the Harvey Mudd College Math Department Francis Su Any Easy Medium Advanced Search Tips List All Fun Facts Fun Facts Home About Math Fun Facts ... Other Fun Facts Features 920655 Fun Facts viewed since 20 July 1999. Francis Edward Su From the Fun Fact files, here is a Fun Fact at the Advanced level: Riemann Hypothesis If you know about complex numbers, you will be able to appreciate one of the great unsolved problems of our time. The Riemann zeta function is defined by Zeta(z) = SUM k=1 to infinity (1/k z This is the harmonic series for z=1 and Sums of Reciprocal Powers if you set z equal to other positive integers. The function can be extended to the entire complex plane (with some poles) by a process called "analytic continuation", although what that is won't concern us here. It is of great interest to find the zeroes of this function. The function is trivially zero at the negative even integers, but where are all the other zeroes? To date, the only other zeroes known all lie on the line in the complex plane with real part equal to 1/2. This has been checked for several hundred million zeroes! No one knows, however, if

48. Education And Higher Learning: Primary And Secondary Levels: Mathematics And Pro of Technology, Pasadena unsolved problems and Graphs Information Guide Investigatethis website to examine such theories on unsolved math problems as the http://www.buzzle.com/chapters/education-and-higher-learning_primary-and-seconda

Translate This Page: French German Italian Portuguese ... Mathematics and Problem Solving Mathematical Problems and Generalizations Subscribe to our FREE Education and Higher Learning magazine! Click here for details... View a run-down of the chapters or their sub-chapters... Know of a web site that would be appropriate for this chapter? Click here for details on suggesting a site. Select a Chapter Animals and Pets Arts and Literature Business and Finance Children and Family Computers and the Internet eCommerce and Shopping Education and Higher Learning Entertainment and Media Food and Drink Government and Politics Health and Fitness History and the Human Experience Hobbies and Special Interest Home and Lifestyle Philosophy and Religion Science and Technology Sports and Recreation Travel and Tourism What's the Buzz Escape Hatch: Cartoons and Comics Jokes and Funnies Open Mic Poetry Bee Short Fixion Mathematical Problems and Generalizations Mathematics is the science of using numbers, sets of points and various abstract elements and symbols to calculate the measurement, properties and relationships of quantities. Throughout history, the goal of mathematics education has been to develop accurate and logical thinking in individuals so they can apply their newly gained knowledge to solving all kinds of problems. Math is therefore an important course of educational study, especially in preparing college students for careers in business, engineering, medicine, psychology and the various sciences. This section provides resources that focus on unsolved mathematical problems and the possible solutions and generalizations that can be formulated about them.

49. Mathematical Sites On The Web mathematics Archives WWW Server (http//archives.math.utk.edu/) organizes and providesaccess to materials contained on the Internet which unsolved problems. http://www.geom.umn.edu/external/mathlist.html

50. Math 480- Selected Open Problems on Discrete and Computational Geometry, Open Combinatorics problems (G. Royle Thisinformation was obtained from http//www.math.fau.edu/locke/unsolved.htm http://faculty.oxy.edu/jquinn/home/Math480/openproblems.html

Selected Open Problems There are many Internet resources for finding open problems related to graph theory. These include but are not limited to: Open Problems from SIAM Discrete Mathematics (D. West), Graph Coloring Unsolved Problems from Bondy and Murty with comments by Steve Locke, Open Problems for Undergraduates (DIMACS), Unsolved Problems (S. Finch at MathSoft), Open Problems from MegaMath, Some Open Problems (Q.F. Stout), Open Problems on Discrete and Computational Geometry, Open Combinatorics Problems (G. Royle). Below are a collection of questions our class has accumulated from the beginning of the sememster. Some are open questions from the resources above while others are personal questions arising from the reading. Prove that is k k . (A. Kotzig, 1974) Determine which simple graphs G on n vertices have exactly one cycle of each possible length k k n . Such a graph is called unipancyclic or uniquely pancyclic The problem was proposed by Entringer (1973). There are seven known unipancyclic graphs having 3,5,8,8,14,14,and 14 vertices respectively. There are only 4 outerplanar unipancyclic graph having 3,5,8 and 8 vertices. It is conjecture that the above 7 graphs are the only unipancyclic graphs. Shi, Yong Bing; Yap, H. P.; Teo, S. K. On uniquely r-pancyclic graphs.

51. Analysis 15, unsolved problems in Function Theory. Notes by Alexandre Eremenko. CategoryScience math Analysis http//www.math.purdue.edu/~eremenko/uns.html. http://www.ad.com/Science/Math/Analysis/

search Top Categories: Complex Variable Events Functional Analysis Journals ... Advanced Calculus and Analysis Lecture notes from the University of Aberdeen for a first course in Analysis. Category: Science > Math > Analysis http://www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/notes.html An Introduction to the Gauge Integral Discusses the properties of an alternative integration theory, and its relationship with the Riemann and Lebesgue integrals. Category: Science > Math > Analysis http://www.math.vanderbilt.edu/~schectex/ccc/gauge/ Companion Notes for Rudin's "Principles of Mathematical Analysis" Notes to meant to accompany Rudin's "Principles of Mathematical Analysis." Detailed enough for self-study, with or without the book. Category: Science > Math > Analysis http://www.math.ucdavis.edu/~emsilvia/math127/math127.html Computability and Complexity in Analysis Network CCA Net aims to provide a central location for collecting information useful to researchers working in the field. Category: Science > Math > Analysis http://www.informatik.fernuni-hagen.de/import/cca/

52. Unsolved Problems 3. Some unsolved problems http//abel.math.umu.se/~frankw/unsolved.html This pagehas a list of mathematical problems which, although they may be understood by http://www.hypography.com/topics/unsolvedproblems.cfm

document.write('<');document.write('! '); home hypographies links quizzes ... about Wednesday, April 9, 2003 Not logged in Unsolved Problems In an age where scientific discovery is everyday news, there are in fact problems which have never been solved. Created by Tormod Guldvog Last updated September 14 2001 Viewed 5990 times. There are actually so many unsolved problems in all areas of science, that the task of creating a complete list of them would in fact be another unsolved problem. Many of these problems are well documented on the Internet. This hypography features web directories which have collected problems in areas like mathematics, astrophysics, physics and cosmology. Relevant keywords problems, conjectures, theories, unsolved Find similar content Take a quiz! Number Theory This quiz tests your knowledge about some famous numbers and theorists. Theories and People This quiz will test your knowledge about famous theories - and how much you actually know about the people behind them. More quizzes Open Questions and Unsolved Mysteries in Particle Physics and Cosmology http://www.thebigview.com/spacetime/questions.html This is a presentation of some of the fundamental problems in cosmology and related fields.

53. Puzzles & Problems Open problems, presented by Nancy Casey from Megamath, are unsolved problemsin math that lack rigorous proof and are still open to investigation. http://www.csun.edu/~vceed009/puzzles.html

Adam's Puzzles. Adam's Puzzles contains over 30 puzzles for high school students with a strong background in calculus and geometry. Detailed answers are provided with a complete explanation. Aims Puzzle Corner. Aims Puzzle Corner, intended for students in grades K-6, is a list of monthly math puzzles for 1995 and 1996. You can request solutions via email. Algebra Online. Algebra Online is a service designed to allow students throughout the world to receive free private tutoring. To get online help in algebra, click here Alvirne High School. Alvirne High School's in Hudson, N.H. calculus class invites you to join them in their preparation for the AP exam. The site contains Alvirne's and guest problems of the week, and archives for Alvirne, guest, and student problems with solutions. Included also are sample multiple choice AP calculus questions and solutions, student and teacher calculus resources on the Web, and general information about AP exam Appetizers and Lessons for Math and Reason. Appetizers and Lessons for Math and Reason for the high school math student shows how to use rules and patterns in solving logic/math problems. Among its offerings are arithmetic review problems skills for problem solving in algebra , and problem solving methods for logic puzzles, theorems, and other math topics.

54. Welcome To Hotmath.org assigned unsolved problems to work out. Recent research has investigated the effectof increasing the use of “worked out” examples of math problems, and http://www.hotmath.org/home2/pressroom/hm-oliver.htm

Educational Foundation for Hotmath.org Oliver Grillmeyer, Ph. D., U. C. Berkeley Sarah Chance, Ph. D., U.C. Santa Barbara Introduction Research Why do worked examples work better than conventional methods? Reduced cognitive overload. Solving problems imposes a high degree of cognitive load on the learner. Students lose track of the key issues to be learned as the process of solving problems is so cognitively demanding; this interferes with learning of the desired information. Opportunity for great problem variability. A greater number and range of examples can be presented, which facilitates abstraction, especially for students with low achievement. Shifted responsibility. Worked examples encourage active mental participation on the part of the students by providing the student with the tools needed to reach a solution on their own without needing to rely on others such as a parents or tutors, resources that may not always be available. Greater feeling of accomplishment and confidence. Knowing that it will be possible to complete schoolwork correctly makes learning math less daunting. Knowing that work has been completed correctly contributes to confidence and the desire to continue.

55. Article About 3 Unsolved Math Problems unsolved math Mysteries math problems from the Clay Classics to ChompingCookies Commentary By John Allen Paulos Special to ABCNEWS.com Dec. http://garsia.math.yorku.ca/~zabrocki/math3260w03/article.html

Subject: Paulos on problems Date: Mon, 02 Dec 2002 16:35:53 -0500 Reply-To: sww@buffalo.edu To: aarms@lists.colorado.edu Here's an article you might find interesting. Unsolved Math Mysteries Math Problems from the Clay Classics to Chomping Cookies Commentary By John Allen Paulos Special to ABCNEWS.com Dec. 1 - Two years ago the Clay Mathematics Institute near Boston listed seven important questions in mathematics that have never been answered and offered a $1 million reward for the solution of any one of them. Even the mere statements of these classic unsolved problems, which include the Riemann hypothesis, Poincare conjecture, and the P-NP problem, are difficult to understand. Happily, a just-published book, The Millennium Problems by Keith Devlin, makes them all considerably easier to grasp. Inspired by this endeavor, I'd like here to briefly describe three unusual problems whose statements are, by contrast, quite elementary. Nevertheless, the problems have all so far resisted solution. Why Always 4, 2, 1?

56. NIU Math - Math Web Links UC Davis/Los Alamos) WWW Virtual mathematics Library (Florida State) Many mathematicsResources (Penn State) unsolved problems (from mathSoft) math History (St http://www.math.niu.edu/links/math.html

NIU Department of Mathematical Sciences Math-related Web Links Mid-West Mathematics Home Page Institutions and Organizations American Mathematical Society Combined Membership List Downloadable books 2000 Mathematics Subject Classification page from the AMS Local copy of the MSC2000 (in PDF) MathSciNet Math Reviews online MathSciNet mirrors: Rice University Bielefeld Bonn Strasbourg ... FastLane (grants) Association for Women in Mathematics Reference Sources NIU University Libraries Illinet Online Catalog Mathematics and Statistics databases and resources JStor ... Math-Net (International Mathematical Union) Math ArXiv (UC Davis/Los Alamos) WWW Virtual Mathematics Library (Florida State) Many Mathematics Resources (Penn State) Unsolved Problems (from MathSoft) Math History (St. Andrews) Math History (Clark University) The Math Forum (Swarthmore) J. Martindale's Reference Desk (UC Irvine) Math Genealogy Project (Minnesota State University) Abstract Algebra On-Line (John Beachy) Math Atlas (Dave Rusin) Selected Research Centers MSRI University of Minnesota Geometry Center (now defunct) Problems, Projects and Tutorials

57. Hilbert's 23 Unsolved Problems Back to the Table of Contents Topics Hilbert's 23 unsolved problems. 19. Analyzethe analytic character of solutions to variational problems. ? unsolved. 20. http://www.andrews.edu/~calkins/math/biograph/199899/tophilpr.htm

Back to the Table of Contents Topics - Hilbert's 23 Unsolved Problems In 1900, David Hilbert addressed the International Congress of Mathmaticians in Paris. In the address, he outlined 23 major mathematical problems that would be studied in the next century. The address was not only a collection of problems, it was also his philosophy of mathematics and problems important to that philosophy. Hilbert's Address Problem Proven True/False/? Comments 1a. Is there a transfinite number between that of a Denumerable Set and the numbers of the Continuum True/False This question was answered by and Cohen to the effect that the answer depends on the particular version of Set Theory assumed. 1b. Can the Continuum of numbers be considered a Well-Ordered Set This question is related to Zermelo's Axiom of Choice which was demonstrated in 1963 to be independent of all other axioms in Set Theory . There is no universally valid solution. 2. Can the axioms of logic be proven to be consistent? False Any formal system interesting enough to fomulate its own consistency can prove its own consistency if and only if it is inconsistent, derived from 3. Are there two tetrahedra which cannot be decomposed into congruent tetrahedra directly or by adjoining congruent tetrahedra.

58. WebGuest - Open Directory : Science : Math : Analysis See also Science math Calculus (70). Sites Favorite unsolved problems Alexandre Eremenko (Purdue University). Mainly in analysis. http://directory.webguest.com/index.cgi/Science/Math/Analysis/

To find books that are related to this page, visit the WebGuest Bookstore About Us Privacy Statement Acceptable Use Policy ... Contact Us the entire directory only in Math/Analysis Top Science Math : Analysis Complex Variable Events Functional Analysis Journals ... Research Groups See also: Science: Math: Calculus Sites: Don't waste another minute on a lousy site! Turbo-boost your browser: download the Alexa Toolbar for FREE! Advanced Calculus and Analysis - Lecture notes from the University of Aberdeen for a first course in Analysis. Companion Notes for Rudin's "Principles of Mathematical Analysis" - Notes to meant to accompany Rudin's "Principles of Mathematical Analysis." Detailed enough for self-study, with or without the book. Computability and Complexity in Analysis Network - CCA Net aims to provide a central location for collecting information useful to researchers working in the field. Constructive Approximation Open Problems - Research problems section of the journal, edited by Peter Borwein, Albert Cohen, Ingrid Daubechies and Vilmos Totik. Includes problem statement (PostScript) and discussion. Favorite Unsolved Problems - Alexandre Eremenko (Purdue University). Mainly in analysis.

59. Kenyon College - LBIS - Course Guide - Math 327: Number Theory A SELECTED LIST OF math JOURNALS AVAILABLE AT KENYON Eric Weisstein's World ofmathematics (An online mathematics encyclopedia) mathSoft unsolved problems. http://lbis.kenyon.edu/subj/math/NumberTheory/

Hours Circulation Staff Directory Floor Plans ... About LBIS RESEARCH GUIDE FOR MATH 327 : NUMBER THEORY Resources Finding and Retrieving Writing and Citing Getting Help RESOURCES Books on Course Reserve (Note: Browse QA 241-246 for Kenyon's collection of Number Theory books) Title: Unsolved Problems in Number Theory Author: Richard K. Guy Abstract: This book discusses hundreds of open questions in number theory, organized into 185 different topics. An extensive and up-to-date collection of references follows each problem. Every student in the class should make use of this resource!!! Title: The Queen of Mathematics: A Historically Motivated Guide to Number Theory Author: Jay R. Goldman Abstract: Title: Elementary Number Theory Author: Kenneth Rosen Abstract: Title: Handbook of Writing for the Mathematical Sciences Journals NUMBER THEORY JOURNALS Journal of Number Theory (1993 - present) The Journal of Number Theory features selected research articles that represent the broad spectrum of interest in contemporary number theory and allied areas. A valuable resource for mathematicians, the journal provides an international forum for the publication of original research in this field.

60. Open Directory & Pay Per Click Search Engine: Science/Math/Analysis Histmath/People/Riemann/AbelFn/. unsolved problems in Function Theory Notes by AlexandreEremenko. http//www.math.purdue.edu/~eremenko/uns.html. Working Group http://www.searchpixie.com/Science/Math/Analysis/

Need Traffic TrafficGiveAway.com Search the Web Home Toolbar LinkManager bookmark ... Math : Analysis CATEGORIES: Complex Variable Events Functional Analysis Journals ... Research Groups LINKS: Advanced Calculus and Analysis Lecture notes from the University of Aberdeen for a first course in Analysis. http://www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/notes.html An Introduction to the Gauge Integral Discusses the properties of an alternative integration theory, and its relationship with the Riemann and Lebesgue integrals. http://www.math.vanderbilt.edu/~schectex/ccc/gauge/ Companion Notes for Rudin's "Principles of Mathematical Analysis" Notes to meant to accompany Rudin's "Principles of Mathematical Analysis." Detailed enough for self-study, with or without the book. http://www.math.ucdavis.edu/~emsilvia/math127/math127.html Computability and Complexity in Analysis Network CCA Net aims to provide a central location for collecting information useful to researchers working in the field. http://www.informatik.fernuni-hagen.de/import/cca/ Constructive Approximation Open Problems Research problems section of the journal, edited by Peter Borwein, Albert Cohen, Ingrid Daubechies and Vilmos Totik. Includes problem statement (PostScript) and discussion.

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