41. Apostolos Doxiadis Apostolos Doxiadis. Uncle Petros and Goldbach s conjecture. You are here Home Works Uncle Petros and Goldbach s conjecture. Uncle http://www.apostolosdoxiadis.com/page/default.asp?id=48&la=1

42. Apostolos Doxiadis Apostolos speaks about writing Incompleteness – the play . Uncle Petros and Goldbach s conjecture now in twentyfive languages - more countries! . http://www.apostolosdoxiadis.com/

Apostolos Doxiadis Home Biography Works News News checkdata('1','21'); A new lecture on the mathematics-story connection >> checkdata('1','20'); checkdata('1','17'); "Uncle Petros and Goldbach's Conjecture" now in twenty-five languages - more countries! >> Site Editor's Note Sign Up Contact Info

43. MathFiction Uncle Petros And Goldbach S Conjecture (Apostolos Uncle Petros and Goldbach s conjecture (1992). Apostolos Doxiadis (click on names to see more mathematical fiction by the same author). http://math.cofc.edu/faculty/kasman/MATHFICT/mfview.php?callnumber=mf15

44. Goldbach's Conjecture NebulaSearch Home NebulaSearch Encyclopedia Top Goldbach s conjecture. Goldbach s conjecture, NebulaSearch article for Goldbach s conjecture. http://www.nebulasearch.com/encyclopedia/article/Goldbach's_conjecture.html

NebulaSearch Home NebulaSearch Encyclopedia Top Goldbach's conjecture Main Index Eolia,_Missouri..................Hayes_Township,_Otsego_County,_Michigan Goedel's_incompleteness_theorem..................Greenbrier,_Arkansas Goedel's_incompleteness_theorem..................Gold_chalcogenides Goldbach's conjecture NebulaSearch article for Goldbach's conjecture Goldbach's Conjecture is one of the oldest unsolved problem s in number theory and in all of mathematics . It states: :Every even number greater than 2 can be written as the sum of two primes (The same prime may be used twice.) The conjecture had been known to Descartes . The following statement is equivalent and is the one originally conjectured in a letter written by Goldbach to Euler in :Every number greater than 5 can be written as the sum of three primes. The majority of mathematicians believe the conjecture to be true, mostly based on statistical considerations focusing on the probabilistic distribution of prime numbers : the bigger the even number, the more "likely" it becomes that it can be written as a sum of two primes. We know that every even number can be written as the sum of at most six primes. As a result of work by

45. GoldbachsConjecture Goldbach s conjecture Goldbach conjecture (English). Search for Goldbach s conjecture OR Goldbach conjecture in NRICH PLUS maths.org Google. http://thesaurus.maths.org/mmkb/entry.html?action=entryById&id=3490

46. Goldbach's Conjecture Goldbach also studied infinite sums, the theory of curves and the theory of equations. Goldbach s conjecture. Examples of Goldbach s conjecture 100= 3 + 97. http://www.andrews.edu/~calkins/math/biograph/199899/biogoldb.htm

Back to the Table of Contents Christian Goldbach Christian Goldbach was born in Konigsberg, Prussia (now Kaliningrad, Russia) on March 18, 1690. He lived in Russia his entire life and died in Moscow in 1764. In 1725 Goldbach became professor of mathematics and historian at St. Petersburg. Then, in 1728, he went to Moscow as tutor to Tsar Peter II. He traveled around Europe meeting mathematicians. Goldbach did important work in number theory. A lot of it corresponded with Euler. He is remembered best for his conjecture, made in 1742 in a letter to Euler and still an open question, that every even integer greater than 2 can be represented as the sum of two primes. Goldbach also conjectured that every odd number is the sum of three primes. Goldbach also studied infinite sums, the theory of curves and the theory of equations. Goldbach's Conjecture His famous conjecture was made in 1742 and for 255 years, no one has succeeded in proving or disproving the correctness of this conjecture. It is thought that Goldbach's Conjecture will be settled before 12/31/2020. If it becomes "settled", this means it will be either proven, refuted, or proven undecidable. Examples of Goldbach's Conjecture: Links to find interesting facts about Goldbach and his Conjecture: History of Goldbach's Conjecture More information on Goldbach's Conjecture A short summary with examples This project was presented by students Risa Zander and Kaleena Katz in 1998.

47. Biography Of Goldbach Goldbach s conjecture. Christian Goldbach s first conjecture is that every even number 4 is a sum of two primes. Examples of Goldbach s conjecture http://www.andrews.edu/~calkins/math/biograph/biogoldb.htm

Back to the Table of Contents Biographies of Mathematicians - Goldbach Christian Goldbach was a famous mathematician. He was born on March 18, 1690 in Konigsberg, Prussia (now Kaliningrad, Russia). He died on November 20, 1764 in Moscow, Russia. So he lived to be 74 and 9/12 and 2 days old. In St. Petersburg he became a professor of mathematics and historian. After that, in 1728, he tutored Tsar Peter II in Moscow. He traveled around Europe and met mathematicians. He was able to meet Leibniz, Nicolaus Bernoulli, Nicolaus(2) Bernoulli, de Moivre, Daniel Bernoulli, and Hermann. Goldbach did much of his work in correspondence with Euler. He did some important mathematical work on number theory. One of his best known works is on his conjecture. Goldbach also did some work with infinite sums, the theory of curves, and the theory of equations. He was born March 18, 1690, died November 20, 1764 Goldbach did much of his work in correspondence with Euler. Goldbach's Conjecture Christian Goldbach's first conjecture is that every even number > 4 is a sum of two primes. It dates from 1742 and it was discovered in correspondence between Goldbach and Euler. A conjecture based on Goldbach's original conjecture is that every odd number > 6 is equal to the sum of three primes. Christian Goldbach's first conjecture is that every even number > 4 is a sum of two primes.

48. Mark Herkommer's Goldbach Conjecture Page Has Moved... Mark Herkommer s Goldbach conjecture page has moved. Please update your bookmark If this does not take place in seconds, please click on the link below. http://home.flash.net/~mherk/goldbach.htm

Mark Herkommer's Goldbach Conjecture page has moved. Please update your bookmark... If this does not take place in seconds, please click on the link below. The new location is: http://www.petrospec-technologies.com/Herkommer/goldbach.htm

49. Uncle Petros And Goldbach's Conjecture : Apostolos Doxiadis , UNCLE PETROS and GOLDBACH S conjecture Apostolos Doxiadis. Perfection. Uncle Petros and Goldbach s conjecture . . . Apostolos Doxiadis. http://faylicity.com/book/book1/petros.html

UNCLE PETROS and GOLDBACH'S CONJECTURE : Apostolos Doxiadis ÁÕ¤Ó¡à èÒÇäÇéÇèÒ A mathematician is born, not made. ¹Ñ¡¤³ÔµÈÒʵì¹Ñé¹à¡Ô´ÁÒà¾×èͨÐà»ç¹ÍÂèÒ§¹Ñé¹ äÁèä´é¶Ù¡ÊéÒ§¢Öé¹ à»â´Ê à»ç¹Ë¹Öè§ã¹¼Ùé·ÕèÁÕ¤ÇÒÁÊÒÁÒ¶¾ÔàÈÉà¾×èͨÐà¡Ô´ÁÒà»ç¹¹Ñ¡¤³ÔµÈÒÊµì ¹Ç¹ÔÂÒÂàà èÁ¹Õéà»ç¹à×èͧ¢Í§à»â´Ê¡Ñº»Ñ­ËÒ·Ò§¤³ÔµÈÒʵì·Õèà¢Ò·ØèÁà·ªÕÇÔµãËé à»â´Ê¹Ñé¹à»ç¹µÑÇà Ф·ÕèÊéÒ§¢Öé¹ áµè»Ñ­ËÒ·Õèà¢Ò¾ÂÒÂÒÁ¤Ô´·Ò§á¡é¹Õéà»ç¹»Ñ­ËÒ·ÕèÁÕµÑǵ¹¨Ô§·Ò§¤³ÔµÈÒÊµì »Ñ­ËÒ¢é͹Õéà»ç¹·ÕèÙé¨Ñ¡¡Ñ¹´Õà¾ÒÐà»ç¹»ÔȹÒà¡èÒá¡è¡ÇèÒ 250 »Õ ·Õè¹Ñ¡¤³ÔµÈÒʵìÂѧ¾ÔÊÙ¨¹ìäÁèä´é¨¹ºÑ´¹Õé ª×èͧ͢»Ñ­ËÒ¹ÕéàÕ¡¡Ñ¹ÇèÒ Goldbach's Conjecture ·Õè¤ÔÊàµÕ¹ â¡à ´ìºÒ¤ (1690-1764) à¢Õ¹¶Ö§ÍÍÂàà Íì (Euler 1707-1783) ã¹»Õ 1742 ÁÕ¤ÇÒÁµÍ¹Ë¹Öè§ÇèÒ "¨Ó¹Ç¹àµçÁã´æ ·ÕèÁÒ¡¡ÇèÒ 5 ÊÒÁÒ¶áÊ´§ã¹Ù»¼à ºÇ¡¢Í§¨Ó¹Ç¹à©¾ÒÐ 3 µÑÇä´é" [¨Ó¹Ç¹à©¾ÒФ×ͨӹǹàµçÁÁÒ¡¡ÇèÒ 1 ·ÕèäÁèÁÕÍÐäËÒÁѹä´éà §µÑǹ͡¨Ò¡ 1 áà еÑÇÁѹàͧ àªè¹ 2,3,5,7,11,13,17] «Öè§ËÒ¡¾Ô¨Ò³Òáµè¨Ó¹Ç¹àµçÁ·Õèà»ç¹àà ¢¤Ùèáà éÇ áà Шҡ¢éÍà·ç¨¨Ô§ÇèÒ àà ¢¤Õè + àà ¢¤Õè = àà ¢¤Ùè áà ÐàÁ×èͨӹǹ੾ÒзÕèà»ç¹àà ¢¤ÙèÁÕáµè 2 µÑÇà´ÕÂÇà·èÒ¹Ñé¹ ´Ñ§¹Ñé¹ÍÍÂàà Íì¨Ö§àÕºàÕ§»Ð⤢éÒ§µé¹ãËÁè ÇèÒ áà йÕèàͧ¤×ÍÊÔ觷ÕèàÕ¡¡Ñ¹ÇèÒ Goldbach's Conjecture µÑÇÍÂèÒ§àªè¹ 10 = 3+7 6,701,058 = 641 + 6,700,417

50. Uncle Petros And Goldbach's Conjecture ºÒ§µÍ¹ UNCLE PETROS and GOLDBACH S conjecture Apostolos Doxiadis. One. Every family has its black sheep in ours it was Uncle Petros. http://faylicity.com/book/book1/fstpetros.html

Uncle Petros and Goldbach's Conjecture UNCLE PETROS and GOLDBACH'S CONJECTURE : Apostolos Doxiadis One Every family has its black sheep - in ours it was Uncle Petros. My father and Uncle Anargyros, his two younger brothers , made sure that my cousins and I should inherit their opinion of him unchallenged. 'That no-good brother of mine, Petros, is one of life's failure,' my father would say at every opportunity. And Uncle Anargyros, during the family get-togethers from which Uncle Petros routinely absented himself, always accompanied mention of his name with snorts and grimaces expressing disapproval, disdain or simple resignation, depending on his mood. However, I must say this for them: both brothers treated him with scrupulous fairness in financial matters. Despite the fact that he never shared even a slight part of the labour and the responsibilities involved in running the factory that the three inherited jointly from my grandfather, Father and Uncle Anargyros unfailingly paid Uncle Petros his share of the profits. (This was due to a strong sense of family, another common legacy.) As for Uncle Petros, he repaid them inthe same measure. Not having had a family of his own, upon his death he left us, his nephews, the children of his magnanimous brothers, the fortune that had been multiplying in his bank account practically untouched in its entirety. Specially to me, his 'most favoured of nephew' (his own words), he additionally bequeathed his huge library which I, in turn, donated to the Helleinic Mathematical Society. For myself I retained only two of its items, volume seventeen of Leonard Euler's

51. Leaderboard - Goldbach's Conjecture Leaderboard Goldbach s conjecture. To update your score, click on your score, or if you are not on the list, use the Update score http://terje.perlgolf.org/wsp/pgas/score.pl?func=score&hole=41&season=1

52. Rules - Goldbach's Conjecture Rules Goldbach s conjecture. Anyway, your task is now to verify Goldbach s conjecture for all even numbers less than a ten thousand. http://terje.perlgolf.org/wsp/pgas/score.pl?func=rules&hole=41&season=1

53. Book Information Uncle Petros and Goldbach s conjecture (2000) novel by Apostolos Doxiadis Rating None (0 votes) Reviews 0 (show them). Genre Fiction. http://www.iblist.com/book.php?id=1506

54. British Library Net Message Board: Goldbach's Conjecture Goldbach s conjecture Posted by John Berg on March 6, 2004, 1154 pm 212.134.20.226. Unsolved since 1742 that every even number greater http://members3.boardhost.com/roadking/msg/988.html

Post a Response British Library Net Message Board Goldbach's Conjecture Posted by John Berg on March 6, 2004, 11:54 pm Unsolved since 1742 that every even number greater than 2 is the sum of two primes e.g 8=5+3, etc. to infinity. A possible proof(?):- 2n=d1+d2 i.e. two odd nos., so 2n((3/5)^2/3)^3 +(4/5)^2/3)^3)) = d1+2n-d1,then using x^m-y^m = (x-y)(((x)^(m-1)+((x)^(m-2)).(y) +((x)^(m-3)).(y)^(2) +((x)^(m-4)).(y)^(3) + .....+(y)^(m-1))) and moving the terms around, (d1)^2/3 equals an irrational, I think, so d1 must be a prime, so (2n-d2)^2/3 is irrational, hence d2 is a prime also. Responses: There are no responses to this message. Post a Response Your Name: Your Email: Subject: Message: Spell Check Optional Link URL: Optional Link Title: Optional Image URL: Notify me by email of all message replies. By posting, you confirm that you have read and agreed to be bound by Boardhost's usage terms Return to British Library Net homepage

55. Amazon Light - Details For Uncle Petros And Goldbach's Conjecture Click to see larger image, Uncle Petros and Goldbach s conjecture by Apostolos K. Doxiades, Apostolos K. Doxiadis Bloomsbury USA Sales Rank 51,065 Avg. http://www.kokogiak.com/amazon/detpage.asp?asin=1582340676

56. Conjecture 1. Goldbach's Conjecture conjecture 1. Goldbach s conjecture. By the above reasons the original statement of the Goldbach’s conjecture now is known as the odd Goldbach conjecture . http://www.primepuzzles.net/conjectures/conj_001.htm

Conjectures Conjecture 1. Goldbach's Conjecture "In a letter of 1742 to Euler, Goldbach expressed the belief that ‘ . Euler replied that this is easily seen to be equivalent to the following statement (Ref. 1, p. 291) Then as we can see the original idea was from Goldbach but the simplification and limitation of it came from Euler. By the above reasons the original statement of the Goldbach’s conjecture now is known as "the odd Goldbach conjecture". Samuli Larvala send today (11/08/98) the following interesting information about the status of the work done over this conejcture: " Matti Sinisalo has checked the conjecture up to 4*10^11. His paper was published in Math.Comp. "M.K. Sinisalo, Checking the Goldbach conjecture up to 4*10^11, Math. Comp. 61 (1993)". J-M. Deshouillers and Herman te Riele have recently checked it up to 10^14. They published a preview paper on their work when they had reached 10^13. This paper can be found at: ftp://ftp.cwi.nl/pub/herman/Goldbach/gold13.ps

57. Uncle Petros And Goldbach S Conjecture - Apostolos K. Doxiadis Uncle Petros and Goldbach s conjecture Apostolos K. Doxiadis. student book reviews and discussion. Uncle Petros and Goldbach s conjecture book review. http://www.buildingrainbows.com/bookreview/reviewid/250

Uncle Petros and Goldbach's Conjecture book review Apostolos K. Doxiadis global warming Title: Uncle Petros and Goldbach's Conjecture Author: Apostolos K. Doxiadis Average number of words per page: more than 100 STORY: 2 readers have rated this story. Average story rating: 9.9 / 10.0 ILLUSTRATIONS: 2 readers have rated the illustrations. Average illustration rating: 10 / 10.0 Purchase this book from Amazon View larger image Review the book cover art Book review by: Bill Chapman age: 36 Review submitted on 04/28/2001 at 15:01:04 list all 2 reviews for this book Story Rating 9.8 out of a possible 10.0 Bill Chapman writes the following about Uncle Petros and Goldbach's Conjecture is a concise story of a young man's description of his uncle's obsession with a mathematical problem. Uncle Petros was a gifted mathematician who, despite the warnings of his colleagues, pursued mathematical greatness by attempting to prove one of the remaining "great challenges" of mathematics. The story is a must for those with at least a passing interest in mathematics and math history, but it is definitely not limited to that audience. There is something for everyone here: Math for math's sake; family relationships; the quest to conquer insurmountable challenges against the odds; and more.

58. In Quest Of Information About Goldbach's Conjecture In quest of information about Goldbach s conjecture. Aroused by an essay in NY Times of end April 2000 I was inspired to the following arrangement http://www.private.org.il/goldbach.html

Moledet, 17.VI.2000 In quest of information about Goldbach's conjecture Aroused by an essay in N.Y. Times of end April 2000 I was inspired to the following arrangement : Put in a horizontal row the odd primes in their natural order, the same in a vertical column and put at the points of intersection of coordinates the sum of the two primes concerned. In the main diagonal we will find the double of every prime in natural order, dividing between two mirrored parts; say, in the lower, left part, we find all the possible sums, and we count their appearances according to order. The total of all splittings up to some limit is equal to the area concerned, and therefore the average of representations of every even sum will grow indefinitely as the number of primes, specially here from i to , but naturally there are fluctuations between local maxima and local minima. In the domain under examination (up to 560) these fluctuations stay between twice and half the average about x1.6 and x0.6; statistically there is no tendency for the minimum to be , contrary to Goldbach's conjecture.

59. XGC - An EXtension Of The Goldbach Conjecture browsed with frames (Netscape Navigator 4, Microsoft Internet Explorer 4, ) However, go to http//members.tripod.com/~aercolino/goldbach/xgc_printable.html http://members.tripod.com/~aercolino/goldbach/

However, go to http://members.tripod.com/~aercolino/goldbach/xgc_printable.html for a single page version.

60. Goldbach's Conjecture In mathematics, Goldbach s conjecture is one of the oldest unsolved problemss in number theory and in all of mathematics. It states http://www.xasa.com/wiki/en/wikipedia/g/go/goldbach_s_conjecture.html

Goldbach's conjecture Wikipedia In mathematics, Goldbach's conjecture is one of the oldest unsolved problemss in number theory and in all of mathematics . It states: Every even number greater than 2 can be written as the sum of two primes . (The same prime may be used twice.) For example, etc. Table of contents showTocToggle("show","hide") 1 Origins 2 Results 3 Trivia 4 External links Origins In 1742, the Prussian mathematician Christian Goldbach wrote a letter to Leonhard Euler in which he proposed the following conjecture: Every number greater than 5 can be written as the sum of three primes. Euler, becoming interested in the problem, answered with a stronger version of the conjecture: Every even number greater than 2 can be written as the sum of two primes. The former conjecture is known today as the 'weak' Goldbach conjecture , the latter as the 'strong' Goldbach conjecture. (The strong version implies the weak version, as any odd number greater than 5 can be obtained by adding 3 to any even number greater than 2). Without qualification, the strong version is meant. Both questions have remained unsolved ever since. Results Goldbach's conjecture has been researched by many number theorists. The majority of mathematicians believe the (strong) conjecture to be true, mostly based on statistical considerations focusing on the

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