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È un numero sfenico. È il più piccolo numero che possa essere espresso come la somma di due cubi positivi in due modi differenti: 1729 = 1 3 + 12 3 = 9 3 + 10 3 ( Quaterne di Ramanujan ). È un numero cubico centrato. È un numero nontotiente in quanto dispari e diverso da 1.
- Millesettecentoventinove
- MDCCXXIX
- 1729 = 7 × 13 × 19
- Millesettecentoventinovesimo, -a
1729 is the smallest nontrivial taxicab number, the first in the sequence of Fermat near misses, and the first in the family of absolute Euler pseudoprimes. It is also known as the Hardy-Ramanujan number after an anecdote of the British mathematician G. H. Hardy when he visited Indian mathematician Srinivasa Ramanujan in hospital.
- one thousand seven hundred twenty-nine
- 7 × 13 × 19
- 1, 7, 13, 19, 91, 133, 247, 1729
- 1729th, (one thousand seven hundred twenty-ninth)
22 dic 2021 · Ramanujan explained that 1729 is the only number that is the sum of cubes of two different pairs of numbers: 12 3 + 1 3, and 10 3 + 9 3. It was not a sudden calculation for Ramanujan. According to his biography, "Years before, he had observed this little arithmetic morsel, recorded it in his notebook and, with that easy intimacy with ...
- India Today Web Desk
- SCIENCE
22 dic 2019 · Ramanujan said that it was not. 1729, the Hardy-Ramanujan Number, is the smallest number which can be expressed as the sum of two different cubes in two different ways. 1729 is the sum...
15 mar 2024 · The smallest nontrivial taxicab number, i.e., the smallest number representable in two ways as a sum of two cubes. It is given by 1729=1^3+12^3=9^3+10^3. The number derives its name from the following story G. H. Hardy told about Ramanujan. "Once, in the taxi from London, Hardy noticed its number, 1729.
19 feb 2015 · 1729 is the Hardy–Ramanujan number ( taxi-cab number or taxicab number ), the smallest [positive] integer that is the sum of 2 cubes in two different ways, viz. 1729 12 3 1 3 10 3 9 3 {\displaystyle 1729\,=\,12^ {3}+1^ {3}\,=\,10^ {3}+9^ {3}.\,} Contents. 1Other properties of 1729. 2Roots and powers of 1729. 3Sequences pertaining to 1729.
Learn how the number 1729, the total sum of cubes of 10 and 9, was discovered by G. H. Hardy in 1918 when he met Srinivasa Ramanujan, a self-taught mathematical prodigy from India. Discover the significance of this number in number theory, partitions of numbers and the Hardy-Ramanujan number.