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 mathdl.maa.org mathDL 19 ?pa reviews&sa viewBook&bookId 68936 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 if Goldbach s conjecture Goldbach s strong conjecture concerning sums of two primes is proven, it would be true. 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 useful 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, Ivan Matveevich Vinogradov eliminated 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. Vinogradov s original proof, as it used the ineffective Siegel Walfisz theorem , did not give a bound for sufficiently large , his 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 infeasible with current technology. In 2002, Liu Ming ... by computer. Computer searches have only reached as far as math 10 18 math for the strong Goldbach conjecture, and not much further than that for the weak Goldbach conjecture. However, this bound ... 10.1090 S1079 6762 97 00031 0 issue 15 ref that the generalized Riemann hypothesis implies Goldbach ... es Conjetura d bil de Goldbach eo Malforta konjekto de Goldbach fr Conjecture faible de Goldbach he it Congettura debole di Goldbach nl Zwakke vermoeden van Goldbach ... more details
K snacht Goldbach is a railway station in Switzerland , situated near to the banks of Lake Zurich in the village of Goldbach, Zurich Goldbach , which is itself in the municipality of K snacht . The station is on the Lake Zurich right bank railway line and a stop on Zurich S Bahn lines S6 ZVV S6 and S16 ZVV S16 . ref cite map publisher Hallwag K mmerlry Frey AG title Zurich City Map scale 1 16000 date 2009 01 25 isbn 978 3 8283 0070 5 ref ref cite web url http www.zvv.ch export sites default common images content image gallery linien zonen pdfs Liniennetzplan ganzer Verbund 2010.pdf title S Bahn trains, buses and boats publisher ZVV accessdate 2011 11 04 ref ref name saw12 13 cite book title Eisenbahnatlas Schweiz year 2012 publisher Verlag Schweers Wall GmbH isbn 978 3 89494 130 7 pages 12 13 ref References reflist BR coord 47.327181 8.575784 type railwaystation region CH display title DEFAULTSORT Kusnacht Goldbach Category Railway stations in the canton of Zurich Category Swiss Federal Railways stations Category K snacht switzerland railstation stub ... 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
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
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 fr Verwaltungsgemeinschaft Mittleres Nessetal pl Wsp lnota administracyjna Mittleres Nessetal ... 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
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 Prime number classes Category Classes ... more details
Infobox writer name image 5.22.11ChuckRozanskiByLuigiNovi2.jpg imagesize caption Rozanski at the Big Apple Convention in Manhattan, May 22, 2011. pseudonym birth date birth place Goldbach, Bavaria , Germany death date death place occupation Retailer, columnist language English language English nationality United States American education alma mater period genre Non fiction subject movement notableworks spouse children relatives influences influenced awards signature website www.milehighcomics.com Charles Rozanski is a German American retailer and columnist, known as the President and CEO of the Denver, Colorado based Mile High Comics Inc., and a columnist for the Comics Buyer s Guide . Early life Rozanski was born in Goldbach, Bavaria , Germany and later moved to the United States with his mother and stepfather, an American army officer. Citation needed date October 2010 Career Mile High Comics was started out of Rozanski s parents basement in 1969, and since then has become one of the largest comic book retail companies in the United States. Rozanski is widely recognized as an industry leader, and in 2003 he was awarded the Defender of Liberty award by the Comic Book Legal Defense Fund for his long standing dedication to the protection of free speech. ref cite web url http www.cbldf.org pr archives 000133.shtml title Chuck Rozanski Named 2003 Defender of Liberty accessdate 2008 05 26 publisher Comic Book Legal Defense Fund date July 2, 2003 ref Rozanski was one of four people whose journey to and experiences at the San Diego Comic Con were documented in the 2011 film Comic Con Episode Four A Fan s Hope . References reflist External links Commons category http www.milehighcomics.com Mile High Comics Persondata Metadata see Wikipedia Persondata . NAME Rozanski, Chuck ALTERNATIVE NAMES SHORT DESCRIPTION Columnist DATE OF BIRTH 1955 PLACE OF BIRTH Goldbach, Bavaria , Germany DATE OF DEATH PLACE OF DEATH DEFAULTSORT Rozanski, Chuck Category 1955 births Category Living p ... more details
A list of rivers of Saxony Anhalt , Germany A Aller Allerbach Alte Elbe B Bauerngraben Ohre Beber Ohre Bode river Bode Born Dorster B k B se Sieben Braunes Wasser Bremke Brumbach Wipper Brummeckebach B schengraben C Cositte E Ecker Ehle river Ehle Eine river Eine Elbe Ellerbach Saale Eulegraben F Fleischbach Schlenze Friedenstalbach Fuhne G Geisel river Glasebach Bauerngraben Glasebach Selke Goldbach Bode Gonna Helme Gr fingr nder Teich Abflu Gr fingr nder Teich Zuflu Gro e S lze Gro e Wilde Gro er Graben und Schiffgraben H Hadeborn Hagenbach Hassel Harsleber Bach Hassel Rappbode Havel Helme Holtemme I Ihle Ilse Oker J Jagdhausbach Krebsbach Jeetzel river K Kalte Bode Katzsohlbach Klare Grete Kleine S lze Klinke river Krebsbach Selke Kunstteich Neudorf Bach L Laweke Leine Eine Leine Helme Lossa Unstrut Lude Thyra Luppbode Luppe river M Milde Biese Aland M nchsbach Goldbach Mulde river Murmelbach Hassel N Nuthe Anhalt O Ohre P Pelze Pfingstwiesengraben Pulverbach Selke Purnitz R Rappbode Reide Wei e Elster Rohne Helme Rossel Elbe Rote Welle Wipper S Salza Saale Salzwedeler Dumme Sarre B rde Sautal Hassel Schiebecksbach Schlenze Schmerlenbach Teufelsbach Schnauder Schrote Schwarze Elster Schwefelbach Selke Schweinitzer Flie Sch ferbach Uhlenbach Selke river Selke Sellegraben Steinfurtbach Selke Stockbach S lze Elbe Saale T Tangelnscher Bach Tanger river Tarnefitzer Elbe Taube river Teufelsbach Goldbach Teufelsgrundbach Selke Thyra river Titanbach U Uchte Biese Uhlenbach Selke Gro er Uhlenbach Unstrut W Wahnborn Walbke Wanneweh Warme Bode Weida Querne Wei e Elster Wethau Saale Wipper Saale Wormke W rde Salza Wustrower Dumme Z Ziethe Zillierbach Lists of rivers in Germany by state Category Rivers of Saxony Anhalt Category Germany related lists mk ... more details
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 ring mathematics ring s 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
Bansk Studenec lang de Kohlbach, Goldbach lang hu T patak is a village and municipality in Bansk tiavnica District , in the Bansk Bystrica Region of Slovakia . History In history historical records , the village was first mentioned in 1266 Kulpach as a Germans German settlement. It belonged to Bansk Bystrica . External links http www.statistics.sk mosmis eng run.html http www.e obce.sk obec banskystudenec bansky studenec.html http www.studenec.host.sk Banska Stiavnica District Bansk Bystrica geo stub coord 48 27 N 18 59 E region SK type city display title Category Villages and municipalities in Bansk tiavnica District cs Bansk Studenec de Bansk Studenec eo Bansk Studenec fr Bansk Studenec it Bansk Studenec hu T patak nl Bansk Studenec sk Bansk Studenec war Bansk Studenec ... more details
unsourced date January 2009 Chinese name Pan Infobox scientist name Pan Chengdong image filename only image size caption birth date birth date 1934 05 26 df y birth place death date death date and age 1997 12 27 1934 05 26 df y death place nationality flag China fields Mathematics workplaces Shandong University alma mater University of Peking doctoral advisor Min Sihe br Hua Luogeng doctoral students known for awards Pan Chengdong Chinese character Chinese Pinyin P n Ch ngd ng 26 May 1934 &ndash 27 December 1997 was a China Chinese mathematician made contributions in number theory , including the Goldbach s conjecture . He was president of Shandong University from 1986 to 1997. Born in Suzhou , Jiangsu Province on 26 May 1934, he entered the Department of Mathematics and Mechanics of Peking University in 1952 and obtained a postgraduate degree in 1961 advised by Min Sihe , a student of Edward Charles Titchmarsh . He then went to work at the Department of Mathematics of Shandong University. He made progress on the Goldbach s conjecture by proving the case 1 5 , and further proved the case 1 4 collaborating with Wang Yuan mathematician Wang Yuan . start box s aca succession box before Deng Conghao title President of Shandong University years 1986 &ndash 1997 after Zeng Fanren end box External links MathGenealogy id 129807 Persondata Metadata see Wikipedia Persondata . NAME Pan, Chengdong ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 26 May 1934 PLACE OF BIRTH DATE OF DEATH 27 December 1997 PLACE OF DEATH DEFAULTSORT Pan, Chengdong Category 1934 births Category 1997 deaths Category Chinese mathematicians Category Chinese educators Category Presidents of universities and colleges in China Category 20th century mathematicians China scientist stub asia mathematician stub de Pan Chengdong zh ... more details
Infobox Film name Childstar caption image Childstar FilmPoster.jpeg director Don McKellar producer Niv Fichman br Daniel Iron br Jennifer Jonas writer Michael Goldbach br Don McKellar narrator starring Don McKellar br Peter Paige br Mark Rendall br Gil Bellows br Michael Murphy actor Michael Murphy br Alan Thicke br Jennifer Jason Leigh music Christopher Dedrick cinematography Andr Turpin editing Reginald Harkema distributor Hart Sharp Video released 2004 runtime 98 mins country Canada language English language English Childstar is a 2004 comedy film directed and written with the help of Michael Goldbach by Don McKellar . It was screened at several film festival s between September 2004 and July 2005. Plot Taylor Brandon Burns Mark Rendall , a conflicted twelve year old TV star from the U.S., runs away from the set and his problems while shooting a big budget film in Canada. His reluctant limo driver, Rick Schiller Don McKellar , a down on his luck indie filmmaker, is enlisted to find Taylor before the childstar destroys himself. Cast Don McKellar ...Rick Schiller Peter Paige ...Tim Gil Bellows ...Isaac Alan Thicke ...J.R. Mark Rendall ...Taylor Brandon Burns Jennifer Jason Leigh ...Suzanne Burnbaum Michael Murphy actor Michael Murphy ...Reed Harrison Brendan Fehr ...Chip Metzger Dave Foley ...Philip Templeman Kristin Adams...Natalie DVD The DVD region code region 1 DVD was released September 13, 2004. External links imdb title 0387117 Childstar http www.filmreferencelibrary.ca index.asp?layid 44&csid1 429&navid 87&fid3 555&offset 10 Canadian Film Encyclopedia A publication of The Film Reference Library a division of the Toronto International Film Festival Group Category 2004 films Category 2000s comedy films Category Canadian comedy films Category English language films Category Films about actors ... more details
Merge to Eventually mathematics discuss Talk Eventually mathematics Merger proposal with Sufficiently large date October 2011 In mathematics , the phrase sufficiently large is used in contexts such as math P math is true for sufficiently large math x math which is actually shorthand for math exists a in mathbb R math such that math P math is true math forall x ge a math . This does not necessarily mean that any particular value for math a math is known, but only that such an math a math exists. The phrase sufficiently large should not be confused with the phrases arbitrarily large or infinity infinitely large . Other uses in mathematics A sufficiently large manifold is a manifold containing a properly embedded 2 sided incompressible surface. Goldbach s conjecture holds only for sufficiently large numbers. See also Mathematical jargon References MathWorld title Sufficiently Large urlname SufficientlyLarge DEFAULTSORT Sufficiently Large Category Mathematical terminology Category 3 manifolds he it Sufficientemente grande ... more details
Refimprove date December 2009 Arabia Deserta Desert Arabia in Latin signified the desert interior of the Arabian peninsula . In ancient times, this land was populated by nomad ic tribes who frequently invaded richer lands, such as Mesopotamia and Arabia Felix . Arabia Deserta was one of three regions into which the ancient Rome Romans divided the Arabian peninsula Arabia Deserta , Arabia Felix , and Arabia Petraea . As a name for the region, it remained popular into the 19th and 20th centuries, and was used in Charles M. Doughty s Travels in Arabia Deserta 1888 . Bibliography G.W. Bowersock , The three Arabias in Ptolemy s geography and Arabs and Saracens in the Historia Augusta in G.W. Bowersock, Studies on the Eastern Roman Empire , Goldbach, 1994. F. Millar, The Roman Near East , London, 1994, pp. 514 ff. Coord missing Saudi Arabia Category Ancient Roman provinces Category Pre Islamic Arabia SaudiArabia geo stub es Arabia Deserta fr Arabie d serte la Arabia Deserta pl Arabia Deserta ... more details
Infobox German location Name Hochheim image photo Wappen lat deg 51 lat min 1 lat sec 1 lon deg 10 lon min 39 lon sec 33 Lageplan Hochheim in GTH.svg Bundesland Th ringen Landkreis Gotha Verwaltungsgemeinschaft Mittleres Nessetal H he 277 Fl che 7.68 Einwohner 503 Stand 2006 12 31 PLZ 99869 Vorwahl 036255 Kfz GTH Gemeindeschl ssel 16 0 67 037 Adresse Hauptstr. 15 br 99869 Goldbach B rgermeister Rolf Janson Hochheim is a municipality in the Gotha district district of Gotha , in Thuringia , Germany . Population 488h 2007 . It is the probable birthplace of the famous theologian, Meister Eckhart . Cities and towns in Gotha district References Reflist Category Municipalities in Thuringia Gotha geo stub de Hochheim Th ringen eo Hochheim Turingio fr Hochheim Thuringe it Hochheim nl Hochheim Th ringen pl Hochheim Turyngia pt Hochheim Tur ngia ro Hochheim Th ringen ru sr vi Hochheim, Gotha vo Hochheim war Hochheim, Thuringia ... more details
Infobox German location image photo Wappen Wappen Ballstaedt.png lat deg 51 lat min 2 lat sec 1 lon deg 10 lon min 43 lon sec 1 Lageplan Ballst dt in GTH.svg Bundesland Th ringen Landkreis Gotha Verwaltungsgemeinschaft Mittleres Nessetal H he 270 Fl che 11.86 Einwohner 732 Stand 2006 12 31 PLZ 99869 Vorwahl 036255 Kfz GTH Gemeindeschl ssel 16 0 67 003 Adresse Verband Hauptstr. 15 br 99869 Goldbach Website http www.mittleres nessetal.de www.mittleres nessetal.de B rgermeister Erika Reisser Ballst dt is a municipality in the Gotha district district of Gotha , in Thuringia , Germany . References Reflist de Cities and towns in Gotha district DEFAULTSORT Ballstadt Category Municipalities in Thuringia Gotha geo stub de Ballst dt eo Ballst dt fr Ballst dt it Ballst dt nl Ballst dt pl Ballst dt pt Ballst dt ro Ballst dt ru sr vi Ballst dt vo Ballst dt war Ballst dt ... more details
Infobox German location image photo Wappen lat deg 51 lat min 0 lat sec 3 lon deg 10 lon min 35 lon sec 4 Lageplan Br heim in GTH.svg Bundesland Th ringen Landkreis Gotha Verwaltungsgemeinschaft Mittleres Nessetal H he 260 Fl che 7.45 Einwohner 525 Stand 2006 12 31 PLZ 99869 PLZ alt 5801 Vorwahl 036254 Kfz GTH Gemeindeschl ssel 16 0 67 005 Adresse Verband Hauptstr. 15 br 99869 Goldbach Website http www.mittleres nessetal.de www.mittleres nessetal.de B rgermeister Hans Eberhard M ller Br heim is a municipality in the Gotha district district of Gotha , in Thuringia , Germany . Cities and towns in Gotha district References Reflist DEFAULTSORT Bruheim Category Municipalities in Thuringia Gotha geo stub de Br heim eo Br heim fr Br heim it Br heim nl Br heim pl Br heim pt Br heim ro Br heim ru sr vi Br heim vo Br heim war Br heim ... more details
Infobox German location image photo Wappen Wappen Friedrichswerth.png lat deg 51 lat min 0 lat sec 0 lon deg 10 lon min 33 lon sec 0 Lageplan Friedrichswerth in GTH.svg Bundesland Th ringen Landkreis Gotha Verwaltungsgemeinschaft Mittleres Nessetal H he 255 Fl che 4.90 Einwohner 578 Stand 2006 12 31 PLZ 99869 Vorwahl 036254 Kfz GTH Gemeindeschl ssel 16 0 67 021 Adresse Hauptstr. 15 br 99869 Goldbach Website http www.friedrichswerth.eu Friedrichswerth im Web B rgermeister Fritz Baum Partei CDU Friedrichswerth 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 Friedrichswerth eo Friedrichswerth fr Friedrichswerth it Friedrichswerth nl Friedrichswerth pl Friedrichswerth pt Friedrichswerth ro Friedrichswerth ru sr vi Friedrichswerth vo Friedrichswerth war Friedrichswerth ... more details
Infobox German location image photo Wappen lat deg 50 lat min 58 lat sec 43 lon deg 10 lon min 41 lon sec 16 Lageplan Remst dt in GTH.svg Bundesland Th ringen Landkreis Gotha Verwaltungsgemeinschaft Mittleres Nessetal H he 375 Fl che 6.48 Einwohner 976 Stand 2006 12 31 PLZ 99869 Vorwahl 03621 Kfz GTH Gemeindeschl ssel 16 0 67 056 Adresse Hauptstr. 15 br 99869 Goldbach Website http www.mittleres nessetal.de www.mittleres nessetal.de B rgermeister Eva Marie Schuchardt Remst dt is a municipality in the Gotha district district of Gotha , in Thuringia , Germany . Cities and towns in Gotha district References Reflist DEFAULTSORT Remstadt Category Municipalities in Thuringia Gotha geo stub de Remst dt eo Remst dt fr Remst dt it Remst dt nl Remst dt pl Remst dt pt Remst dt ro Remst dt ru sr vi Remst dt vo Remst dt war Remst dt ... more details
For people named Sonneborn Infobox German location image photo Wappen Wappen Sonneborn.png lat deg 51 lat min 0 lat sec 0 lon deg 10 lon min 35 lon sec 0 Lageplan Sonneborn in GTH.svg Bundesland Th ringen Landkreis Gotha Verwaltungsgemeinschaft Mittleres Nessetal H he 260 Fl che 16.48 Einwohner 1286 Stand 2006 12 31 PLZ 99869 Vorwahl 036254 Kfz GTH Gemeindeschl ssel 16 0 67 063 Adresse Verband Hauptstr. 15 br 99869 Goldbach Website http www.mittleres nessetal.de www.mittleres nessetal.de B rgermeister G nter Dietmar Sonneborn 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 Sonneborn Th ringen eo Sonneborn fr Sonneborn it Sonneborn nl Sonneborn pl Sonneborn Turyngia pt Sonneborn ro Sonneborn ru sr vi Sonneborn vo Sonneborn war Sonneborn ... more details
Infobox German location image photo Wappen lat deg 50 lat min 59 lat sec 49 lon deg 10 lon min 41 lon sec 20 Lageplan Warza in GTH.svg Bundesland Th ringen Landkreis Gotha Verwaltungsgemeinschaft Mittleres Nessetal H he 278 Fl che 6.49 Einwohner 754 Stand 2006 12 31 PLZ 99869 Vorwahl 036255 Kfz GTH Gemeindeschl ssel 16 0 67 075 Adresse Hauptstr. 15 br 99869 Goldbach Website http www.warza.de www.warza.de B rgermeister Martina Kaspar Partei Warza 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 Warza eo Warza fr Warza it Warza nl Warza pl Warza pt Warza ro Warza ru sr vi Warza vo Warza war Warza ... more details
In mathematics , Waring s prime number conjecture is a conjecture in number theory , closely related to Vinogradov s theorem . The conjecture is named after the England English mathematician Edward Waring and states that every odd number odd integer exceeding 3 is either a prime number or the sum of three prime numbers. The conjecture is known to follow from the generalized Riemann hypothesis ref J. M. Deshouillers, G. Effinger, H. te Riele, and D. Zinoviev, A complete Vinogradov 3 primes theorem under the Riemann Hypothesis , Electr. Res. Ann. of AMS 3 1997 , 99 104. ref . See also Goldbach conjecture Schnirelmann s constant References references External links MathWorld urlname WaringsPrimeNumberConjecture title Waring s prime number conjecture DEFAULTSORT Waring S Prime Number Conjecture Category Additive number theory Category Conjectures about prime numbers numtheory stub ... more details
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