61. Andrew's Fibonacci Unsolved Problems Unsolved Fibonacci Problems. unsolved problems . 1) Are there infinitely many prime Fibonacci numbers ? 2) Are 1, 8 and 144 the only powers Fibonacci http://alas.matf.bg.ac.yu/~mm97106/math/fibo/unfib.htm

Unsolved Fibonacci Problems Unsolved Problems : 1) Are there infinitely many prime Fibonacci numbers ? 2) Are 1, 8 and 144 the only powers Fibonacci numbers ? 3) Are there F(p^2)=1 (mod p^2) for some p- prime ? Solved : 4) The only square Fibonacci numbers are 1 and 144 ! 5) The only cubic Fibonacci numbers are 1 and 8 ! 6) The only triangular Fibonacci numbers are 1,3,21 and 55 ! 7) The only square Lucas numbers are 1 and 4 ! 8) The only cubic Lucas number is 1 ! 9) The only triangular Lucas numbers are 1,3 and 5778 ! References: Neville Robbins, Beginning Number Theory. Wm.C.Brown publishers.Dubuque,Iowa:1993,Page 289 www.mathpro.com www-groups.dcs.st-and.ac.uk Powers is special case for question 3) Look Fibonacci Powers Very old conjecture (at least 1967) Find Fibonacci numbers divisible by p^2 Fibonacci Conjecture Fibonacci powers J.H.E.Cohn proved in 1963. John H.E.Cohn, "On Square Fibonacci Numbers" The Journal of The London Mathematical Society Vol.39, 537-540, 1964.

62. Unsolved Problems In Playing-Card Research unsolved problems concerning Tarot and Italian Cards. Can the type of cards, both regular and Tarots (not unsolved problems about Early European Cards http://i-p-c-s.org/problis1.html

Home Join IPCS Pay Subscription Publications ... Links Unsolved Problems in Playing-Card Research Background In the January/February 1999 issue of The Playing-Card (Vol XXVII No 4), IPCS president Robert Kissel invited members to contribute to a list of unsolved problems in playing-card research. This would be the playing-card equivalent of the famous list of unsolved mathematical problems published by David Hilbert 100 years ago. Submissions by Sir Michael Dummett, February 10th, 1999 Unsolved Problems concerning Tarot and Italian Cards Can the type of cards, both regular and Tarots (not standardised nearly enough to form a standard pattern), called by Sylvia Mann 'archaic' be definitely assigned to Ferrara, as conjectured by Dummett, to Venice, as supposed by almost everyone else, or to any other city? Can definite evidence be found to assign the standard pattern exemplified by early Trappola cards from north of the Alps to Venice, or perhaps to Trent or some other city? Two questions relate to Piedmont. The first is this: Various features of Tarot games played in Piedmont indicate a connection with Bolgna: the treatment of the four ' Papi 'Empress, Popess, Emperor and Popeas of equal rank, any one of them played later to a trick beating one played earlier;

63. 1983 Invited Address Solved Problems, Unsolved Problems And Non-problems In Conc 1983 Invited address solved problems, unsolved problems and nonproblems in concurrency. Full text, pdf format Pdf (1.09 MB) http://portal.acm.org/citation.cfm?id=806731

64. Solved And Unsolved Problems In Number Theory Solved and unsolved problems in number theory. Purchase this Book Purchase this Book. Source. Pages 304. Year of Publication 1985. ISBN08284-1297-9 http://portal.acm.org/citation.cfm?id=19768

65. William Meeks At MSRI - A Survey Of Unsolved Problems In Minimal Surface Theory William Meeks A Survey of unsolved problems in Minimal Surface Theory and Approaches for Solving Them. http://www.msri.org/publications/ln/msri/2001/minimal/meeks/3/

MSRI Streaming Video Series William Meeks - A Survey of Unsolved Problems in Minimal Surface Theory and Approaches for Solving Them

66. Little Springs Design - Design » Unsolved Problems In Unified Messaging unsolved problems in Unified Messaging. Problem Modality Matching Problem Message Control Solving the Problems. The promise of Unified Messaging (UM) http://www.littlespringsdesign.com/analysis/messageprioritization/

Home Weblog Design Analysis Services About Little Springs Design specializes in the design and usability of mobile devices, their services, and their software. This section: Overview Integrating the Internet with the Physical World Mobile Usability Testing on a Budget Unsolved Problems in Unified Messaging ... MultiModal Applications: Here Today, Gone Tomorrow Now Available! Design usable applications for mobile phones and PDAs in wireless Java with our User Interface Guidelines for J2ME MIDP 2.0 Unsolved Problems in Unified Messaging Problem: Modality Matching Problem: Message Control Solving the Problems The promise of Unified Messaging (UM) is to deliver all messages - voice, email, SMS, instant messages, etc. - into one mailbox. Users can access voice mail using their computer, and email using the phone. This goal introduces several technical challenges, many of which have been met. However, it also introduces two user experience problems, which have not yet been solved. Modality Matching The first of these problems is that of modality matching. When I listen to something on the phone, I hear it and (unless I am using a speaker phone) nobody else does. Telephones have evolved to support this one-listener use, and they are quite good at transmitting information verbally. Thus, messages are left with the reasonable assumption that only the intended recipient will hear the voicemail, especially when the welcome message indicates only one user (as opposed to "The Ballard Family" or "The Staff Phone").

67. Perplexus.info :: Search Search results for unsolved problems . Difficulty 1 of 5 3 in 1 (in Riddles) Posted on 200508-01 by Dominique (No Solution Yet, 2 Comments) http://perplexus.info/search.php?presch=1

68. Old And New Unsolved Problems In Plane Geometry And Number Theory - Cambridge Un Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=0883853159

69. Unsolved Problems (from Number Theory) --  Encyclopædia Britannica unsolved problems (from number theory) This triumph notwithstanding, number theory remains the source of many unsolved problems, some of the most perplexing http://www.britannica.com/eb/article-233908

Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents Expand all Collapse all Introduction From prehistory through Classical Greece ... Number theory in the 18th century Number theory in the 19th century Disquisitiones Arithmeticae From classical to analytic number theory Prime number theorem Number theory in the 20th century Unsolved problems Additional Reading Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products number theory Page 14 of 15 Unsolved problems This triumph notwithstanding, number theory remains the source of many unsolved problems, some of the most perplexing of which sound innocent enough. For example: Do any odd perfect numbers exist?

70. Unsolved Problems: References unsolved problems. General References. The following books contain unsolved problems or are referenced by the unsolved problem of the week. http://cage.rug.ac.be/~hvernaev/problems/references.html

Unsolved Problems General References The following books contain unsolved problems or are referenced by the unsolved problem of the week Especially rich are [Croft 1991] [Guy 1994] and [Klee 1991] [Beiler 1966] Albert H. Beiler, Recreations in the Theory of Numbers: The Queen of Mathematics Entertain. 2nd edition. Dover. New York: 1966. [Bondy 1976] J. A. Bondy and U. S. R. Murty, Graph Theory with Applications. North Holland. New York: 1976. [Boroczky 1987] Intuitive Geometry. North-Holland Publishing Company. New York: 1987. [Croft 1991] Hallard T. Croft, Kenneth J. Falconer, and Richard K. Guy, Unsolved Problems in Geometry. Springer-Verlag. New York: 1991. [Dudeney 1970] H. E. Dudeney, Amusements in Mathematics. Dover. New York: 1970. [Dunham 1990] William Dunham, Journey Through Genius: The Great Theorems of Mathematics. John Wiley and Sons. New York: 1990. [Erdos 1980] Old and New Problems and Results in Combinatorial Number Theory. [Gardner 1978] Martin Gardner, Mathematical Magic Show. Vintage Books. New York: 1978. [Gardner 1983] Martin Gardner

71. Nrich.maths.org::Mathematics Enrichment::Toughnuts Problems, children s solutions, interactivities, games, articles, news Try these unsolved problems. Problem icon http://nrich.maths.org/public/toughnuts.php

Skip over navigation About Contact Newsletter ... Maths finder past issues Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Choose a theme Jungle Ice Toughnuts Try these unsolved problems Sorting Symmetries Stage:2 Challenge Level: Naomi finds that she can turn the triangle and then flip the triangle vertically so that she gets another symmetry. What might she have done? Triangles all Around Stage:2 Challenge Level: Can you find all the different triangles on these peg boards, and find their angles? On the Edge Stage:2 Challenge Level: Here are four tiles. They can be arranged in a 2 by 2 square so that this large square has a green edge. If the tiles are moved around, we can make a 2 by 2 square with a blue edge... Now try. . . . Sending a Parcel Stage:2 Challenge Level: What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres and measurements are all made in whole centimetres? Cartesian Isometric Stage:2 Challenge Level: The graph below is an oblique coordinate system based on 60 degree angles. It was drawn on isometric paper. What kinds of triangles do these points form? Consecutive Seven Stage:2 Challenge Level: Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

72. Unsolved Problems unsolved problems. 1. Can someone solve this integral equation? These fatter/thinner problems were both unsolved using another natural probability http://www.maths.usyd.edu.au/u/richardc/unsolved.html

Unsolved problems 1. Can someone solve this integral equation? Find a non-negative function g defined on [0,1] and a constant a satisfying Motivation for the equation, together with a series-solution and plot, is given in Section 5 of Cowan, R. and Chen, F. K. C. Four interesting problems concerning Markovian shape sequences. Adv. Appl. Prob. Download post-script file. The equivalent differential equation is also given in this paper. An analytic solution would be desirable. Least dense "full" packings. Consider an infinite ensemble of equal-sized disks with diameter 1, packed together in the plane. A requirement of the packing is that each disk touches at least 4 other disks. In addition, each disk's circumference must be "full" in the sense that the angle at the disk's centre subtended by the centres of any two adjacent neighbours is less than 2 p /3. Thus there is no room on the circumference for another disk. In the paper Cowan, R. Constraints on the random packing of disks. J. Appl. Prob.

73. AIP Conference Proceeding 665 UNSOLVED PROBLEMS OF NOISE AND unsolved problems OF NOISE AND FLUCTUATIONS UPoN 2002 Third International Conference on unsolved problems of Noise and Fluctuations in Physics, Biology, http://proceedings.aip.org/proceedings/confproceed/665.jsp

74. Read About Category:Unsolved Problems In Mathematics At WorldVillage Encyclopedi Categoryunsolved problems in mathematics. Everything you wanted to know about Categoryunsolved problems in mathematics but had no clue how to find it. http://encyclopedia.worldvillage.com/s/b/Category:Unsolved_problems_in_mathemati

Culture Geography History Life ... WorldVillage Category:Unsolved problems in mathematics From Wikipedia, the free encyclopedia. This category is intended for all unsolved problems in mathematics, including Conjectures. Conjectures are qualified by having a suggested or proposed hypothesis. There may or may not be conjectures for all unsolved problems. It has been requested that this category be populated. Please categorize any articles that fall within this category to it. Subcategories There is 1 subcategory to this category. C Conjectures Articles in category "Unsolved problems in mathematics" There are 7 articles in this category. Unsolved problems in mathematics C Complexity classes P and NP G Generalized star height problem H Hilbert's ninth problem Hilbert's problems H cont. Hilbert's sixteenth problem N Navier-Stokes equations Retrieved from " http://en.wikipedia.org/s/b/Category:Unsolved_problems_in_mathematics Categories Underpopulated categories Mathematics ... Unsolved problems This document is licensed under the GNU Free Documentation License (GFDL), which means that you can

75. Felix On-line Why do the unsolved problems of maths matter? “Who of us would not be glad to lift the veil behind which the future lies hidden; to cast a glance at the http://www.felixonline.co.uk/2002-04/article.php?aid=1988

76. Thomas Halsey, ExxonMobil Research & Engineering, Discussion Leader, Unsolved Pr unsolved problems in Granular Mechanics. Thomas Halsey, ExxonMobil Research Engineering, Discussion Leader. Begin continuous audio for the whole talk http://online.itp.ucsb.edu/online/granular05/halsey/

Schedule Mar 30, 2005 Unsolved Problems in Granular Mechanics Begin continuous audio for the whole talk: high bandwidth or low bandwidth . (Or, right-click to download the whole audio file Begin QuickTime of the whole talk (high bandwidth). Author entry (protected)

77. Sensei's Library: Unsolved Problems Sensei s Library, page unsolved problems, keywords Problem. SL is a large WikiWikiWeb about the game of Go (Baduk, Weiqi). It s a collaboration and http://senseis.xmp.net/?UnsolvedProblems

78. Flooble :: Perplexus :: Search Search results for unsolved problems . Difficulty 1 of 5 How Long til Morning? (in General) Posted on 200508-09 by Erik O. (No Solution Yet, 8 Comments) http://flooble.com/perplexus/search.php?presch=1

79. F. Conjectures (Math 413, Number Theory) Refs; Number Theory, Shanks, 1985, Chap 2; unsolved problems in Number Theory, Guy, Refs; unsolved problems in Number Theory, Guy, 1994, Sect D.9 http://www.math.umbc.edu/~campbell/Math413Fall98/Conjectures.html

F. Conjectures Number Theory, Math 413, Fall 1998 A collection of easily stated number theory conjectures which are still open. Each conjecture is stated along with a collection of accessible references. The Riemann Hypothesis Fermat Numbers Goldbach's Conjecture Catalan's Conjecture ... The Collatz Problem The Riemann Hypothesis Def: Riemann's Zeta function, Z(s), is defined as the analytic extension of sum n infty n s Thm: Z( s )=prod i infty p i s , where p i is the i th prime. Thm: The only zeros of Z( s ) are at s s Conj: The only zeros of Z( s ) are at s =-2, -4, -6, ... and on the line Re( s Thm: The Riemann Conjecture is equivalent to the conjecture that for some constant c x )-li( x c sqrt( x )ln( x where pi( x ) is the prime counting function. Refs: Unsolved Problems Elementary Number Theory http://www.utm.edu/research/primes/notes/rh.html (notes in Chris Caldwell's Prime Pages) http://match.stanford.edu/rh/ (Dan Bump's notes) Def: n is perfect if it is equal to the sum of its divisors (except itself). Examples are 6=1+2+3, 28, 496, 8128, ... Def: The n th Mersenne Number, M

80. Ohmsha BOOKS Unsolved Problems On Mathematics For The 21st Century A Tribute To unsolved problems on Mathematics for the 21st Century. A Tribute to Kiyoshi Iseki s 80th Birthday. JM Abe and S. Tanaka. 160x240mm pp.332 Yen11,600 2001 http://www.ohmsha.co.jp/data/books/e_contents/4-274-90418-0.htm

HOME Online Bookshelf Contents Unsolved Problems on Mathematics for the 21st Century A Tribute to Kiyoshi Iseki's 80th Birthday J.M. Abe and S. Tanaka 160x240mm pp.332 Yen11,600 2001 The book is a collection of papers written by scientists in evidence in the area of Pure and Applied Mathematics, Logic, and related issues. The book refers to some significant open problems related to Pure and Applied Mathematics, Mathematical Logic, Foundations of Mathematics, Theoretical Computer Science, correlated themes, in this century. It defines the own style of the book. Contents [INQUIRY] [HOME] [How to get Books] Price is subject to change without notice. Consumption Tax will be added for domestic sale.

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