Timeline for Is $441$ the only square of the form $\frac{397\cdot 10^n-1}{9}$?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Feb 20, 2021 at 19:01 | comment | added | Max Alekseyev | @Wojowu: Yes, I've got the same. | |
| Feb 20, 2021 at 19:00 | history | edited | Max Alekseyev | CC BY-SA 4.0 |
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| Feb 20, 2021 at 18:58 | comment | added | Wojowu | The following code snippet for Sage verifies that the only integral points on the corresponding Mordell curves are $(3970,\pm 250110)$, which corresponds to the $441$ which OP asked for. (oops, editor eats the line breaks. Not sure how to fix it) for r in range(3): N = 397*10^r E = EllipticCurve([0,-N^2]) print(r,E.integral_points())` | |
| Feb 20, 2021 at 18:47 | history | edited | Wojowu | CC BY-SA 4.0 |
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| Feb 20, 2021 at 18:35 | history | edited | Max Alekseyev | CC BY-SA 4.0 |
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| Feb 20, 2021 at 18:29 | history | answered | Max Alekseyev | CC BY-SA 4.0 |