Goldbach may refer to Streams Germany Goldbach Bode , a large stream in the Harz Mountains Places Germany Goldbach, Bavaria , a municipality in Bavaria Goldbach, Thuringia , a municipality in Thuringia Goldbach Crailsheim , a quarter of Crailsheim in Baden W rttemberg Switzerland Goldbach, Hasle bei Burgdorf , part of Hasle bei Burgdorf , Canton of Berne Goldbach, L tzelfl h , part of L tzelfl h , Canton of Berne Goldbach, Zurich , part of K snacht, Canton of Zurich Other Christian Goldbach , an 18th century Prussian mathematician Goldbach s conjecture , one of the oldest unsolved problems in number theory Disambig Surname de Goldbach es Goldbach eo Goldbach fr Goldbach it Goldbach nl Goldbach pl Goldbach ru vo Goldbach ... more details
Infobox French commune name Goldbach Altenbach region Alsace department Haut Rhin arrondissement Thann canton Saint Amarin INSEE 68106 postal code 68760 mayor Marcel Girard term 2001&ndash 2008 intercommunality Vall e de Saint Amarin longitude 7.105 latitude 47.8736111111 elevation m 680 elevation min m 482 elevation max m 1420 area km2 9.14 population 309 population date 2006 Goldbach Altenbach is a Communes of France commune in the Haut Rhin Departments of France department in Alsace in north eastern France . See also Communes of the Haut Rhin d partement References http www.insee.fr en home home page.asp INSEE Reflist Haut Rhin communes DEFAULTSORT Goldbachaltenbach Category Communes of Haut Rhin HautRhin geo stub als Goldbach Altenbach ca Goldbach Altenbach ceb Goldbach Altenbach de Goldbach Altenbach es Goldbach Altenbach fr Goldbach Altenbach it Goldbach Altenbach pam Goldbach Altenbach ms Goldbach Altenbach nl Goldbach Altenbach pms Goldbach Altenbach pl Goldbach Altenbach pt Goldbach Altenbach sl Goldbach Altenbach sr uk vi Goldbach Altenbach vo Goldbach Altenbach war Goldbach Altenbach ... more details
Goldbach is part of the municipality of K snacht in the district of Meilen in the canton of Z rich in Switzerland. Goldbach is located north of K snacht proper, south and west of Zollikon , and on the Goldk ste Gold Coast of Lake Z rich . The K snacht Goldbach train station is 12 14 minutes from downtown Zurich via the S6 and S16 Z rich S Bahn S Bahn train lines. Goldbach is home to the Goldbach Center and Goldbach Media AG . Zurich geo stub coord 47.2679 8.8905 display title Category Canton of Zurich ... more details
Infobox German location Name Goldbach image photo Wappen Wappen Goldbach Th. .png lat deg 50 lat min 59 lat sec 35 lon deg 10 lon min 39 lon sec 30 Lageplan Goldbach in GTH.svg Bundesland Th ringen Landkreis Gotha Verwaltungsgemeinschaft Mittleres Nessetal H he 270 Fl che 12.15 Einwohner 1780 Stand 2006 12 31 PLZ 99869 Vorwahl 036255 Kfz GTH Gemeindeschl ssel 16 0 67 027 Adresse Hauptstr. 15 br 99869 Goldbach Website http www.mittleres nessetal.de www.mittleres nessetal.de B rgermeister Doris K stner Goldbach is a municipality in the Gotha district district of Gotha , in Thuringia , Germany . Cities and towns in Gotha district References Reflist Category Municipalities in Thuringia Gotha geo stub de Goldbach Th ringen eo Goldbach Turingio it Goldbach Turingia nl Goldbach Th ringen pl Goldbach Turyngia pt Goldbach Tur ngia ro Goldbach Th ringen ru sr vi Goldbach, Gotha vo Goldbach Th ringen war Goldbach, Thuringia ... more details
unreferenced date May 2010 L tzelfl h Goldbach is a Swiss twin suburb located about 36 km driving distance from Bern and 9 km from Burgdorf, Switzerland . File L tzelfl h Goldbach2.jpg thumb left 220px A board in L tzelfl h Goldbach File L tzelfl h Goldbach3.jpg thumb left 220px A road in L tzelfl h Goldbach File L tzelfl h GoldbachStation.jpg thumb right 220px L tzelfl h Goldbach railway station File L tzelfl h GoldbachSE.jpg thumb right 220px L tzelfl h Goldbach railway station entrance on the left References coord missing Switzerland DEFAULTSORT Lutzelfluh Goldbach Category Canton of Bern Bern geo stub ... more details
Infobox scientist name Christian Goldbach box width birth date March 18, 1690 birth place K nigsberg , Brandenburg Prussia death date November 20, 1764 death place Moscow residence citizenship nationality German ethnicity field Mathematics work institutions alma mater doctoral advisor doctoral students known for Goldbach s conjecture author abbrev bot author abbrev zoo influences influenced signature Christian Goldbach March 18, 1690 &ndash November 20, 1764 was a Germany German mathematician who also studied law . He is remembered today for Goldbach s conjecture . Biography Born in the Duchy of Prussia s capital K nigsberg , part of Brandenburg Prussia , Goldbach was the son of a pastor. He studied at the University of K nigsberg Royal Albertus University . After finishing his studies he went ... ref Contributions Goldbach is most noted for his correspondence with Leibniz, Euler, and Bernoulli, especially in his 1742 letter to Euler stating his Goldbach s Conjecture . He also studied and proved some theorems on perfect power s, such as the Goldbach Euler theorem , and made several notable ... generalibus serierum References Reflist External links MacTutor Biography id Goldbach http www.math.dartmouth.edu ... with Goldbach Persondata Metadata see Wikipedia Persondata . NAME Goldbach, Christian ALTERNATIVE ... Prussia DATE OF DEATH November 20, 1764 PLACE OF DEATH DEFAULTSORT Goldbach, Christian Category ... Goldbach da Christian Goldbach de Christian Goldbach el es Christian Goldbach fa fr Christian Goldbach it Christian Goldbach he ht Christian Goldbach la Christianus Goldbach hu Christian Goldbach nl Christian Goldbach ja no Christian Goldbach pms Christian Goldbach pl Christian Goldbach pt Christian Goldbach ro Christian Goldbach ru , scn Christian Goldbach sr sv Christian Goldbach tr Christian Goldbach zh ... more details
Other places3 Goldbach disambiguation Infobox German Location Name Goldbach Wappen Wappen Goldbach Unterfranken.png lat deg 49 lat min 59 lat sec 20 lon deg 09 lon min 11 lon sec 11 Lageplan Goldbach in AB.svg ... PLZ 63773 Vorwahl 06021 Kfz AB Gemeindeschl ssel 09 6 71 121 Adresse Sachsenhausen 19 br 63773 Goldbach Website http www.markt goldbach.de markt goldbach.de B rgermeister Thomas Krimm Goldbach is a market ... in the yellow loess soil, which during heavy rainfalls colours the local brook, also called the Goldbach ... with Goldbach. History In 1218, Goldbach had its first documentary mention. From the mid 15th century, Goldbach was under the authority of the Archbishopric of Mainz Archbishop of Mainz . In 1814, Goldbach was transferred to Bavaria. On 26 May 1995, Goldbach was granted the designation ... representation of just such a thing. From the 7th to the 11th century, Goldbach belonged to the area of the Franks Frankish royal estate, which is what the crown symbolizes. Until 1803, Goldbach ... . Culture and sightseeing Churches Goldbach has at its disposal two Roman Catholicism Catholic ... Saint John s Church . Sport and clubs In Goldbach there is a lively sport, culture and club ... on TV Goldbach , which is said to cover 10 km on each of nine appointed times. Further clubs are VfR Goldbach, AC Bavaria Goldbach, Gesangverein Harmonie Goldbach singing club , Gesangverein S ngerkranz Goldbach singing club , KJG St. Nikolaus, KJG St. Maria Immaculata, DJK Goldbach 1985 e.V., MSC Goldbach, KKS Goldbach, BRK Goldbach, Freiwillige Feuerwehr Goldbach volunteer fire brigade , RG Goldbach, F.W.V. Goldbach. Economy and infrastructure Transport Goldbach lies right on the Bundesautobahn ... away . Between Goldbach and H sbach , when the Autobahn was being widened to six lanes, a housing was built ..., 3 football pitches and 2 sport halls. gallery Image Goldbach Strassenzug mit St. Nikolaus Kirche.jpg Residential street with the Catholic parish church St. Nikolaus in Goldbach Image Goldbach Gasthaus ... more details
Goldbach s conjecture is one of the oldest unsolved problems in mathematics unsolved problem s in number ... 2 can be expressed as the sum of two prime number primes . ref MathWorld title Goldbach Number urlname ... Goldbach s Conjecture by Hector Zenil, Wolfram Demonstrations Project , 2007. ref Such a number is called a Goldbach number . Expressing a given even number as a sum of two primes is called a Goldbach ... June 1742, the German mathematician Christian Goldbach originally of Brandenburg Prussia wrote a letter ... abandoned. ref name WolframMathWorld MathWorld urlname GoldbachConjecture title Goldbach ... at the time. A modern version of Goldbach s marginal conjecture is Every integer greater than 5 ... Goldbach of an earlier conversation they had ...so Ew vormals mit mir communicirt haben.. , in which Goldbach remarked his original and not marginal conjecture followed from the following statement ... of Goldbach. In the letter dated 30 June 1742, Euler stated blockquote Dass ... ein jeder numerus ... PDF accessdate 2009 09 23 ref ref name PrimeGlossary cite web last Caldwell first Chris title Goldbach ... 2008 08 13 ref blockquote Goldbach s third version equivalent to the two other versions is the form ... strong , even , or binary Goldbach conjecture, to distinguish it from a weaker corollary. The strong Goldbach conjecture implies the conjecture that all odd numbers greater than 7 are the sum of three odd primes , which is known today variously as the Goldbach s weak conjecture weak Goldbach conjecture , the odd Goldbach conjecture, or the ternary Goldbach conjecture. Both questions have remained ... than the strong one. If the strong Goldbach conjecture is true, the weak Goldbach conjecture ... Goldbach conjecture and hence the weak Goldbach conjecture can be verified directly. For instance ..., N. Die Goldbachsche Vermutung und der Goldbach Vinogradovsche Satz. Acta. Acad. Aboensis, Math ... consists entirely of primes. Image Goldbach 1000.png thumbnail right 288px Number ... more details
Infobox Fluss LAGE Saxony Anhalt , GER GKZ FLUSSSYSTEM Elbe ABFLUSSWEG Bode Saale Elbe North Sea EINZUGSGEBIET NACHWEIS EINZUGSGEBIET L NGE NACHWEIS L NGE ABFLUSS NNQ ABFLUSS MQ ABFLUSS MHQ ABFLUSS HHQ ABFLUSS HHQ JAHR BEZEICHNUNG QUELLE QUELLE east of the uplands of Elbingerode Harz Elbingerode QUELLH HE PREFIX QUELLH HE H HENBEZUG QUELLE DE NN QUELLH HE SUFFIX QUELLE LAT GRAD 51.782425 QUELLE LONG GRAD 10.8594861 QUELLE REGION DE NI M NDUNG in Wegeleben into the Bode M NDUNGSH HE PREFIX M NDUNGSH HE H HENBEZUG M NDUNG DE NN M NDUNGSH HE SUFFIX M NDUNG LAT GRAD 51.8888389 M NDUNG LONG GRAD 11.1831861 M NDUNG REGION DE NI LINKE NEBENFL SSE RECHTE NEBENFL SSE SEEN STAUSEEN EINWOHNER IM EINZUGSGEBIET GROSSST DTE MITTELST DTE KLEINST DTE GEMEINDEN BILD BILDBESCHREIBUNG BILD1 BILD1 BESCHREIBUNG The Goldbach is a left tributary of the River Bode , about 30 km long, in the Harz Mountains of Germany . Course The Goldbach rises east of the uplands of Elbingerode Harz , flows through the Silberborn Valley, past Michaelstein Abbey and the Blankenburg Monk s Mill M nchem hle Blankenburg , passes under the Bundesstra e 6 B 6 federal highway and is joined by numerous other streams. In spring the upper reaches of the Goldbach become in places a raging meltwater torrent. It continues on through Langenstein Halberstadt Langenstein , running below the Spiegelsberge hills and past Halberstadt to the south, through Harsleben and Wegeleben, where it empties into the Bode . Fauna Numerous endangered species live in the Goldbach, such as the brown trout and small shellfish . Tributaries Molkegraben right Sauteichsgraben left External links http www.harzlife.de info goldbach.html The Goldbach in the Harz de icon Category Rivers of Saxony Anhalt Category Bode basin 1Goldbach de Goldbach Bode ... more details
MedalTableTop MedalSport Women s Rowing sport Rowing MedalCountry GER MedalSport Rowing World Championships MedalSilver 1999 World Rowing Championships 1999 St. Catharines W4 MedalBronze 2001 World Rowing Championships 2001 Lucerne W8 MedalBronze 2003 World Rowing Championships 2003 Milan W4 MedalBottom Sandra Goldbach born 15 April 1977 in Dresden is a German rower. References FISA 3898 http www.sports reference.com olympics athletes go sandra goldbach 1.html Profile at sports reference.com Persondata Metadata see Wikipedia Persondata . NAME Goldbach, Sandra ALTERNATIVE NAMES SHORT DESCRIPTION Rower DATE OF BIRTH 15 April 1977 PLACE OF BIRTH Dresden DATE OF DEATH PLACE OF DEATH DEFAULTSORT Goldbach, Sandra Category 1977 births Category Living people Category German rowers Category People from Dresden Category Rowers at the 2004 Summer Olympics Category Olympic rowers of Germany Germany rowing bio stub ... more details
Goldbach s comet ref Fliegel, Henry F. Robertson, Douglas S. Goldbach s Comet the numbers related to Goldbach s Conjecture Journal of Recreational Mathematics, v21 1 1 7, 1989. ref is the name given to a plot of the function math g E math , the so called Goldbach function . The Goldbach function is studied in relation to Goldbach s conjecture . The function math g E math is defined for all even integers math E 2 math to be the number of different ways in which E can be expressed as the sum of two primes. For example, math g 22 3 math since 22 can be expressed as the sum of two primes in three different ways math 22 11 11 5 17 3 19 math . Image goldbachs comet.gif The coloring of points in the above image is based on the value of math E 2 math modular arithmetic modulo 3. Anatomy of the Goldbach Comet An illuminating way of presenting the comet data is as a histogram . The function math g E math can be normalized by dividing by the locally averaged value of g , g sub av sub , taken over perhaps 1000 neighboring values of the even number E . The histogram can then be accumulated over a range of up to about 10 either side of a central E . Image Gbcomethista1.jpg 400 px right Such a histogram appears on the right. A series of well defined peaks is evident. Each of these peaks can be identified as being formed by a set of values of math E 2 math which have certain smallest factors. The major peaks correspond to lowest factors of 3, 5, 7 ... as labeled. As the lowest factors become higher the peaks move left and eventually merge to give the lowest value primary peak. There is in fact a hierarchy of peaks the main peaks are composed of subsidiary peaks, with a succession of second smallest factors of math E 2 math . This hierarchy continues until all factors are exhausted. Image gbcomethistoga2.jpg 300 px right The magnified section shows the succession of subsidiary peaks in more ... into account the narrowing of the peak width, is not much larger. Any search for violation of the Goldbach ... more details
Image petros.gif right thumb 125px Uncle Petros and Goldbach s Conjecture by Apostolos Doxiadis FAIR USE see image description page for rationale Uncle Petros and Goldbach s Conjecture is a 1992 in literature 1992 novel by Greek author Apostolos Doxiadis . It concerns a young man s interaction with his reclusive uncle, who sought to prove that any even number greater than two is the sum of two primes, which is a famous unsolved mathematics problem called Goldbach s Conjecture . This unusual novel discusses mathematical problems and some recent history of mathematics. As a publicity stunt, the publishers Bloomsbury USA in the U.S. and Faber and Faber in Britain announced a 1 million prize for anybody who proved Goldbach s Conjecture within two years of the book s publication in 2000. Not surprisingly, given the difficulty of the problem, the prize went unclaimed. External links http www.maa.org reviews petros.html Book Review by the Mathematical Association of America Category 1992 novels Category Mathematics fiction books es El t o Petros y la conjetura de Goldbach fr Oncle Petros et la conjecture de Goldbach it Zio Petros e la congettura di Goldbach fi Petros set ja Goldbachin hypoteesi ... more details
In number theory , Goldbach s weak conjecture , also known as the odd Goldbach conjecture , the ternary Goldbach problem , or the 3 primes problem , states that Every odd number greater than 7 can be expressed as the sum of three odd prime number primes . A prime may be used more than once in the same sum. This conjecture is called weak because Goldbach s conjecture Goldbach s strong conjecture concerning sums of two primes, if proven, would establish Goldbach s weak conjecture. Since if every even number greater than 4 is the sum of two odd primes, merely adding 3 to each even number greater than 4 will produce the odd numbers greater than 7. The conjecture has not yet been proven, but there have been some helpful near misses. In 1923, G. H. Hardy Hardy and John Edensor Littlewood Littlewood showed that, assuming the generalized Riemann hypothesis , the odd Goldbach conjecture is true for all sufficiently large odd numbers. In 1937, a Russian mathematician, Ivan Matveevich Vinogradov , was able to eliminate the dependency on the generalised Riemann hypothesis and proved directly see Vinogradov s theorem that all sufficiently large odd numbers can be expressed as the sum of three primes. Although Vinogradov himself was unable to specify sufficiently large numerically, his own student K. Borozdin proved, in 1939, that 3 sup 14348907 sup is large enough. This number has 6,846,169 decimal digits, so checking every number under this figure would be highly infeasible with current technology ... 18 math for the strong Goldbach conjecture, and not much further than that for the weak Goldbach conjecture ... doi 10.1090 S1079 6762 97 00031 0 ref that the generalized Riemann hypothesis implies Goldbach s weak ... Unsolved problems in mathematics bn es Conjetura d bil de Goldbach eo Malforta konjekto de Goldbach fr Conjecture faible de Goldbach he nl Zwakke vermoeden van Goldbach pl S aba hipoteza Goldbacha ru ... more details
In mathematics , the Goldbach Euler theorem also known as Goldbach s theorem , states that the sum of 1 p &minus 1 over the set of perfect powers p , excluding 1 and omitting repetitions , Convergent series converges to 1 math sum p frac 1 p 1 frac 1 3 frac 1 7 frac 1 8 frac 1 15 frac 1 24 frac 1 26 frac 1 31 cdots 1. math This result was first published in Leonhard Euler Euler s 1737 paper Variae observationes circa series infinita s . Euler attributed the result to a letter now lost from Christian GoldbachGoldbach . Proof Goldbach s original proof to Euler involved assigning a constant to the harmonic series mathematics harmonic series math textstyle x sum n 1 infty frac 1 n math , which is divergent series divergent . Such a proof is not considered rigorous by modern standards. It is also interesting to note that there is a strong resemblance between the method of sieving out powers employed in his proof and the Proof of the Euler product formula for the Riemann zeta function method of factorization used to derive Euler s product formula for the Riemann zeta function . Let x be given by math x 1 frac 1 2 frac 1 3 frac 1 4 frac 1 5 frac 1 6 frac 1 7 frac 1 8 cdots math Since the sum of the reciprocal of every power of two is math textstyle 1 frac 1 2 frac 1 4 frac 1 8 frac 1 16 cdots math , subtracting the terms with powers of two from x gives math x 1 1 frac 1 3 frac 1 5 frac 1 6 frac 1 7 frac 1 9 frac 1 10 frac 1 11 cdots math Repeat the process with the terms with the powers of three math textstyle frac 1 2 frac 1 3 frac 1 9 frac 1 27 frac 1 81 cdots math math x 1 frac 1 2 1 frac 1 5 frac 1 6 frac 1 7 frac 1 10 frac 1 11 frac 1 12 cdots math Absent from the above ... mathematically incorrect, Goldbach s proof provides a reasonably intuitive visualization of the problem ... 1 p 1 sum m 2 infty sum n 2 infty frac 1 m n 1. math See also Goldbach s conjecture References Cite ... last3 Parad s title On a series of Goldbach and Euler url http www.recercat.net bitstream 2072 920 ... more details
The Waring Goldbach problem is a problem in additive number theory , concerning the representation of integer s as sums of powers of prime number s. It is named as a combination of Waring s problem on sums of powers of integers, and the Goldbach conjecture on sums of primes. It was initiated by Hua Luogeng ref L. K. Hua http qjmath.oxfordjournals.org cgi pdf extract os 9 1 68 Some results in additive prime number theory , Quart. J. Math. Oxford , 9 1938 , 68&ndash 80. ref in 1938. Problem statement It asks whether large numbers can be expressed as a sum, with at most a constant number of terms, of like powers of primes. That is, for any given natural number, k , is it true that for sufficiently large integer N there necessarily exist a set of primes, p sub 1 sub , p sub 2 sub , ..., p sub t sub , such that N p sub 1 sub sup k sup p sub 2 sub sup k sup ... p sub t sub sup k sup , where t is at most some constant value? ref cite journal last Buttcane first Jack date January 2010 title A note on the Waring Goldbach problem journal Journal of Number Theory publisher Elsevier volume 130 issue 1 pages 116 127 doi 10.1016 j.jnt.2009.07.006 ref The case, k 1, is a weaker version of the Goldbach conjecture. Some progress has been made on the cases k 2 to 7. Heuristic justification By the prime number theorem , the number of k th powers of a prime below x is of the order x sup 1 k sup log x . From this, the number of t term expressions with sums x is roughly x sup t k sup log x sup t sup . It is reasonable to assume that for some sufficiently large number t this is x c , i.e., all numbers up to x are t fold sums of k th powers of primes. This argument is, of course, a long way from a strict proof. Relevant results Expand section Published results that are very similar, or that are likely to contribute to its eventual proof date March ... first2 Trevor D. last2 Wooley title On the Waring Goldbach problem for fourth and fifth powers ... more details
Mittleres Nessetal is a Verwaltungsgemeinschaft collective municipality in the Gotha district district of Gotha , in Thuringia , Germany . The seat of the Verwaltungsgemeinschaft is in Goldbach. The Verwaltungsgemeinschaft Mittleres Nessetal consists of the following municipalities Ballst dt Br heim Bufleben Friedrichswerth Goldbach, Thuringia Goldbach Haina, Gotha Haina Hochheim, Thuringia Hochheim Remst dt Sonneborn Wangenheim Warza Westhausen, Gotha Westhausen mter Thuringia Gotha geo stub coord 51.000 N 10.650 E display title source dewiki Category Verwaltungsgemeinschaften in Thuringia de Verwaltungsgemeinschaft Mittleres Nessetal pl Wsp lnota administracyjna Mittleres Nessetal ... more details
Fair use rationale The image is the cover of the book, which is described at Uncle Petros and Goldbach s Conjecture , and is used only to aid the description of the book. The copyright is most likely owned by the publisher Bloomsbury press, New York. Licensing Non free book cover ... more details
after reading a book of Goldbach s correspondence. Because in Stern s time, 1 number 1 ... OEIS archive in pdf mm 1.pdf A lesser known Goldbach conjecture Category Classes of prime numbers fr ... more details
In number theory , Lemoine s conjecture , named after mile Lemoine , also known as Levy s conjecture , after Hyman Levy , states that all odd integer s greater than 5 can be represented as the sum of an odd prime number and an even semiprime . To put it algebraically, 2 n 1 p 2 q always has a solution in primes p and q not necessarily distinct for n 2. The Lemoine conjecture is similar to but stronger than Goldbach s weak conjecture . For example, 47 13 2 17 37 2 5 41 2 3 43 2 2. OEIS id A046927 counts how many different ways 2 n 1 can be represented as p 2 q . According to MathWorld , the conjecture has been verified by Corbitt up to 10 sup 9 sup . The conjecture was posed by mile Lemoine in 1895, but in more recent years came to be attributed to Hyman Levy who pondered it in the 1960s. See also mile Lemoine Lemoine s conjecture and extensions Lemoine s conjecture and extensions References Emile Lemoine, L interm diare des math maticiens , 1 1894 , 179 ibid 3 1896 , 151. H. Levy, On Goldbach s Conjecture , Math. Gaz. 47 1963 274 L. Hodges, A lesser known Goldbach conjecture , Math. Mag. , 66 1993 45 47. John O. Kiltinen and Peter B. Young, Goldbach, Lemoine, and a Know Don t Know Problem , Mathematics Magazine , Vol. 58, No. 4 Sep., 1985 , pp. 195 203 http www.jstor.org stable 2689513?seq 7 Richard K. Guy , Unsolved Problems in Number Theory New York Springer Verlag 2004 C1 External links MathWorld title Levy s Conjecture urlname LevysConjecture http demonstrations.wolfram.com LevysConjecture Levy s Conjecture by Jay Warendorff, Wolfram Demonstrations Project . Category Additive number theory Category Conjectures about prime numbers it Congettura di Levy zh ... more details
Information Description A board in L tzelfl h Goldbach Source I User Photnart . Photnart. User talk Photnart talk created this work entirely by myself. Date 17 23, 1 May 2010 UTC Author User Photnart . Photnart. User talk Photnart talk other versions Licensing PD self date May 2010 ... more details
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Information Description L tzelfl h Goldbach Railway Station Source I User Photnart . Photnart. User talk Photnart talk created this work entirely by myself. Date 17 27, 1 May 2010 UTC Author User Photnart . Photnart. User talk Photnart talk other versions Licensing PD self date May 2010 ... more details
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notable date May 2010 Olivier Ramar is a France French mathematician who teaches at the Universit des Sciences et Technologies de Lille . In 1995, he sharpened earlier work on Schnirelmann s theorem by mathematical proof proving that every even number is a sum of at most six prime number prime s. This result may be compared with Goldbach s conjecture , which states that every even number except 2 is the sum of two primes. The truth of Ramar s result for all sufficiently large even numbers is a consequence of Vinogradov s theorem , whereas the full result follows from Goldbach s weak conjecture . References cite web url http math.univ lille1.fr ramare title Ramare s personal webpage publisher Universit des Sciences et Technologies de Lille Univ. de Lille Persondata Metadata see Wikipedia Persondata . NAME Ramare, Olivier ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Ramare, Olivier Category French mathematicians Category Universit Lille Nord de France faculty Category Living people Category Year of birth missing living people France mathematician stub ht Olivier Ramare ja pt Olivier Ramar ... more details
Hilbert s eighth problem is one of David Hilbert s Hilbert problems list of open mathematical problems posed in 1900. It concerns number theory , and in particular the Riemann hypothesis , although it is also concerned with the Goldbach Conjecture . The problem as stated asked for more work on the distribution of primes and generalizations of Riemann hypothesis to other rings where prime ideal s take the place of primes. This problem has yet to be resolved. External links http aleph0.clarku.edu djoyce hilbert problems.html prob8 English translation of Hilbert s original address numtheory stub Hilbert s problems Category Hilbert s problems 08 zh ... more details
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