Timeline for Why do the taxicab numbers seemingly have a bias towards being even?
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| when toggle format | what | by | license | comment | |
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| yesterday | comment | added | Semiclassical | @GregMartin To test this, the primitive taxicab numbers are also enumerated on OEIS as A018850. This includes a table going out to the 9859th such term. After importing to Mathematica the split seems to be 5904 odd to 3955 even, i.e., roughly 60:40 in favor of odds over evens. So the primitive taxicab numbers also seem to be biased, but in the opposite direction! | |
| yesterday | audit | First questions | |||
| yesterday | |||||
| 2 days ago | history | became hot network question | |||
| 2 days ago | answer | added | French Man | timeline score: 37 | |
| 2 days ago | comment | added | Lourrran | May be it can help to understand the phenomen if you exclude all imprimitives taxicab numbers and calculate proportions with this new rule. | |
| 2 days ago | comment | added | Greg Martin | My guess, if someone wants to explore it: some of the taxicab numbers are “imprimitive”—just multiples of earlier taxicab numbers, like $1729d^3$ for any $d\ge2$. I suspect that the primitive taxicab numbers are equally likely to be even or odd, but including the imprimitive ones introduces the bias towards evenness (and towards multiples of any fixed integer). | |
| 2 days ago | history | edited | Cheerful Parsnip | CC BY-SA 4.0 |
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| 2 days ago | history | asked | Robin | CC BY-SA 4.0 |