Math Fun Library |
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Question : |
Is 1729 Unlucky ? |
Answer : |
1729 is the only known number that is sum of two cubes in two different ways. |
103 + 93 = 1729; 123 + 13
= 1729 |
This is popularly known as Ramanujan's number. The great Indian Mathematician, was sick in the hospital, Prof. Hardy,
his tutor paid him a visit. Prof. Hardy told Ramanujan that he rode a taxi to the hospital with a very unlucky number,
1729.
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Masahiko Fujiwara showed that 1729 is one of four natural numbers
(the others are 81 and 1458 and the trivial case 1) which, when its digits are added together,
produces a sum which, when multiplied by its reversal, yields the original number,
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1 + 7 + 2 + 9 = 19
19 x 91 = 1729
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