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- 1729_(number) abstract "1729 is the natural number following 1728 and preceding 1730.1729 is known as the Hardy–Ramanujan number after a famous anecdote of the British mathematician G. H. Hardy regarding a visit to the hospital to see the Indian mathematician Srinivasa Ramanujan. In Hardy's words:The two different ways are these: 1729 = 13 + 123 = 93 + 103The quotation is sometimes expressed using the term "positive cubes", since allowing negative perfect cubes (the cube of a negative integer) gives the smallest solution as 91 (which is a divisor of 1729):91 = 63 + (−5)3 = 43 + 33Of course, equating "smallest" with "most negative", as opposed to "closest to zero" gives rise to solutions like −91, −189, −1729, and further negative numbers. This ambiguity is eliminated by the term "positive cubes".Numbers that are the smallest number that can be expressed as the sum of two cubes in n distinct ways have been dubbed "taxicab numbers". The number was also found in one of Ramanujan's notebooks dated years before the incident, and was noted by Frénicle de Bessy in 1657.The same expression defines 1729 as the first in the sequence of "Fermat near misses" (sequence A050794 in OEIS) defined as numbers of the form 1 + z3 which are also expressible as the sum of two other cubes.".
- 1729_(number) wikiPageExternalLink why-does-the-number-1729-show-up-in-so-many-futurama-ep-1445512975.
- 1729_(number) wikiPageExternalLink Hardy-RamanujanNumber.html.
- 1729_(number) wikiPageExternalLink further5.shtml?rhppromo.
- 1729_(number) wikiPageExternalLink 978-0-387-20860-2.
- 1729_(number) wikiPageID "512549".
- 1729_(number) wikiPageRevisionID "603789096".
- 1729_(number) divisor "171319911332471744".
- 1729_(number) greekPrefix ",αψκθ".
- 1729_(number) hasPhotoCollection 1729_(number).
- 1729_(number) number "1729".
- 1729_(number) subject Category:Integers.
- 1729_(number) subject Category:Srinivasa_Ramanujan.
- 1729_(number) comment "1729 is the natural number following 1728 and preceding 1730.1729 is known as the Hardy–Ramanujan number after a famous anecdote of the British mathematician G. H. Hardy regarding a visit to the hospital to see the Indian mathematician Srinivasa Ramanujan.".
- 1729_(number) label "1 729 (nombre)".
- 1729_(number) label "1729 (getal)".
- 1729_(number) label "1729 (number)".
- 1729_(number) label "1729 (numero)".
- 1729_(number) label "1729 (число)".
- 1729_(number) label "1729 (عدد)".
- 1729_(number) label "1729".
- 1729_(number) label "1729".
- 1729_(number) label "Mil setecentos e vinte e nove".
- 1729_(number) label "Mil setecientos veintinueve".
- 1729_(number) label "Tausendsiebenhundertneunundzwanzig".
- 1729_(number) sameAs Tausendsiebenhundertneunundzwanzig.
- 1729_(number) sameAs Mil_setecientos_veintinueve.
- 1729_(number) sameAs 1_729_(nombre).
- 1729_(number) sameAs 1729_(numero).
- 1729_(number) sameAs 1729.
- 1729_(number) sameAs 1729.
- 1729_(number) sameAs 1729_(getal).
- 1729_(number) sameAs Mil_setecentos_e_vinte_e_nove.
- 1729_(number) sameAs Q825176.
- 1729_(number) sameAs Q825176.
- 1729_(number) wasDerivedFrom 1729_(number)?oldid=603789096.
- 1729_(number) isPrimaryTopicOf 1729_(number).