I often wonder about stories of relatively short-lived geniuses such as Ramanujan. Is there a timeline where he recovered and continued making discoveries for decades? Is there some correlation between extreme genius in one area and suboptimal physical health? What if he had existed in modern times instead?
He lived in India. In the early 1900s. The average lifespan in India in 1920 when he died was 21 to 25 years old. He was 32 when he died, so better than the average. The math checks out.
Very low historical life expectancies are driven by childhood illness and maternal mortality. If you made it to 15 your life expectancy might be somewhere in your late 50s.
There isn’t data for life expectancy at 15 before 1950 for India here (when it was 60) but you can see the it for Sweden back to 1751.
Well, these numbers are averages between people living until old age (65+ years) and high infant mortality. I don't think most people keeled over when they reach 25 years...
> 1729 is known as Ramanujan number or Hardy–Ramanujan number, named after an anecdote of the British mathematician G. H. Hardy when he visited Indian mathematician Srinivasa Ramanujan who was ill in hospital. In their conversation, Hardy stated that the number 1729 from a taxicab he rode was a "dull" number and "hopefully it is not unfavourable omen", but Ramanujan remarked that "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways". This conversation led to the definition of the taxicab number as the smallest integer that can be expressed as a sum of two positive cubes in a given number of distinct ways. 1729 is the second taxicab number, expressed as 1³+12³=9³+10³.
When I explain this to people, I say: given Rubik's cubes of size 1x1x1, 2x2x2, 3x3x3,..., 15x15x15, and a scale. Make the scale in balance with something on it.
The solution is to put 1x1x1 and 12x12x12 on one side and 9x9x9 and 10x10x10 on the other.
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