By the way that is not very far from Putney.
https://en.wikipedia.org/wiki/Putney
Why Putney? But because this is SMP. And because close to 100 years ago Srinivasa Ramanujan was ill there visited by Hardy;
"I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways." ”
The two different ways are these:
1729 = 1^3 + 12^3 = 9^3 + 10^3
The 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 = 6^3 + (−5)^3 = 4^3 + 3^3
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 + z^3 which are also expressible as the sum of two other cubes."
https://en.wikipedia.org/wiki/1729_%28number%29
And i promise you that was a browser tab nearby to the tabs i opened to find Middlesex that was opened yesterday. Its a small world sometimes.
Last edited by masque de Z; 08-21-2015 at 04:40 PM.