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- Taxicab_number abstract "In mathematics, the nth taxicab number, typically denoted Ta(n) or Taxicab(n), is defined as the smallest number that can be expressed as a sum of two positive algebraic cubes in n distinct ways. The concept was first mentioned in 1657 by Bernard Frénicle de Bessy, and was made famous in the early 20th century by a story involving Srinivasa Ramanujan. In 1938, G. H. Hardy and E. M. Wright proved that such numbers exist for all positive integers n, and their proof is easily converted into a program to generate such numbers. However, the proof makes no claims at all about whether the thus-generated numbers are the smallest possible and thus it cannot be used to find the actual value of Ta(n).The restriction of the summands to positive numbers is necessary, because allowing negative numbers allows for more (and smaller) instances of numbers that can be expressed as sums of cubes in n distinct ways. The concept of a cabtaxi number has been introduced to allow for alternative, less restrictive definitions of this nature. In a sense, the specification of two summands and powers of three is also restrictive; a generalized taxicab number allows for these values to be other than two and three, respectively.".
- Taxicab_number wikiPageExternalLink euler.free.fr.
- Taxicab_number wikiPageExternalLink wa.exe?A2=ind0207&L=nmbrthry&F=&S=&P=1278.
- Taxicab_number wikiPageExternalLink Hardy.html.
- Taxicab_number wikiPageExternalLink welcome.htm.
- Taxicab_number wikiPageExternalLink RDR91.
- Taxicab_number wikiPageExternalLink 1729taxicab.html.
- Taxicab_number wikiPageExternalLink futurama.html.
- Taxicab_number wikiPageID "513117".
- Taxicab_number wikiPageRevisionID "599506009".
- Taxicab_number hasPhotoCollection Taxicab_number.
- Taxicab_number subject Category:Number_theory.
- Taxicab_number subject Category:Srinivasa_Ramanujan.
- Taxicab_number comment "In mathematics, the nth taxicab number, typically denoted Ta(n) or Taxicab(n), is defined as the smallest number that can be expressed as a sum of two positive algebraic cubes in n distinct ways. The concept was first mentioned in 1657 by Bernard Frénicle de Bessy, and was made famous in the early 20th century by a story involving Srinivasa Ramanujan. In 1938, G. H. Hardy and E. M.".
- Taxicab_number label "Liczba taksówkowa".
- Taxicab_number label "Nombre taxicab".
- Taxicab_number label "Numero taxicab".
- Taxicab_number label "Número taxicab".
- Taxicab_number label "Taxicab number".
- Taxicab_number label "Taxicab-Zahl".
- Taxicab_number label "Taxicab-getal".
- Taxicab_number label "عدد تاكسيكاب".
- Taxicab_number label "タクシー数".
- Taxicab_number label "的士數".
- Taxicab_number sameAs Taxicab-Zahl.
- Taxicab_number sameAs Αριθμοί_των_Ταξί.
- Taxicab_number sameAs Número_taxicab.
- Taxicab_number sameAs Taxicab_zenbakia.
- Taxicab_number sameAs Nombre_taxicab.
- Taxicab_number sameAs Numero_taxicab.
- Taxicab_number sameAs タクシー数.
- Taxicab_number sameAs Taxicab-getal.
- Taxicab_number sameAs Liczba_taksówkowa.
- Taxicab_number sameAs m.02k7yf.
- Taxicab_number sameAs Q1462591.
- Taxicab_number sameAs Q1462591.
- Taxicab_number wasDerivedFrom Taxicab_number?oldid=599506009.
- Taxicab_number isPrimaryTopicOf Taxicab_number.