Timeline for A Diophantine equation with prime powers
Current License: CC BY-SA 3.0
10 events
when toggle format | what | by | license | comment | |
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May 20, 2015 at 4:05 | comment | added | Max Alekseyev | @GerryMyerson: Oh, I did not notice. Anyway, no search bound was specified explicitly so far, but here it comes. | |
May 20, 2015 at 4:01 | comment | added | The Masked Avenger | Also, many of the examples can be sieved out with small primes, for example all those candidates for p that are 2 mod 7. | |
May 20, 2015 at 3:57 | comment | added | Gerry Myerson | This counterexample was in Linus Hamilton's comment on knsam's (not-a-complete-)answer. | |
May 20, 2015 at 3:21 | comment | added | Max Alekseyev | @Turbo: Solutions to the Pellian equation (explained above by knsam) grow exponentially fast, so it is not a big deal to test them all below a bound like $10^{5000}$. In fact, I tested smallest $10^4$ solutions and achieved the bound $10^{5722}$. | |
May 20, 2015 at 3:16 | comment | added | Turbo | How did you get that number? | |
May 20, 2015 at 3:11 | comment | added | Max Alekseyev | @Turbo: Yes. What is your concern? | |
May 20, 2015 at 3:08 | comment | added | Turbo | $10^{5\times 10^3}$? | |
May 20, 2015 at 2:36 | history | edited | Max Alekseyev | CC BY-SA 3.0 |
bound updated
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May 20, 2015 at 2:19 | history | edited | Max Alekseyev | CC BY-SA 3.0 |
added 65 characters in body
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May 20, 2015 at 2:07 | history | answered | Max Alekseyev | CC BY-SA 3.0 |