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This reminds me of the tale of GH Hardy visiting Ramanujan and saying the number of his taxicab was dull at 1,729. Ramanujan countered that it is the smallest number which can be written as the sum of two cubes in two different ways (12^3 + 1^3 and 10^3 + 9^3).
Next year you can simply start that sum at 1 rather than 2.
January 4, 2024 at 9:29 pm
This reminds me of the tale of GH Hardy visiting Ramanujan and saying the number of his taxicab was dull at 1,729. Ramanujan countered that it is the smallest number which can be written as the sum of two cubes in two different ways (12^3 + 1^3 and 10^3 + 9^3).
Next year you can simply start that sum at 1 rather than 2.
January 4, 2024 at 9:40 pm
That’s not all. (1+2+3+4+5+6+7+8+9)^2 = 45^2 =2025 = 1^3 + 2^3 + 3^3 + 4^3 + 5^3 + 6^3 + 7^3 + 8^3 +9^3 also.
January 5, 2024 at 11:20 am
Next year will be an interesting one!