Timeline for A conjecture on the prime counting function
Current License: CC BY-SA 3.0
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| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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| Jul 1, 2015 at 6:15 | vote | accept | CommunityBot | ||
| Jul 1, 2015 at 4:59 | answer | added | Gerhard Paseman | timeline score: 6 | |
| Jul 1, 2015 at 4:48 | history | edited | user57432 | CC BY-SA 3.0 |
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| Jul 1, 2015 at 4:36 | comment | added | Gerhard Paseman | It might be great, but it is unlikely. There might be more refined versions of the conjecture in connection with Goldbach's binary conjecture. However, primes fluctuate wildly enough that I would only expect either relation to hold with x and y separated by a significant power of x. For a start, check out texts by Hans Riesel and by Paulo Ribenboim on primes. That and much experimentation may give you a feel for plausible conjectures on distribution of primes. Gerhard "Feels His Way Around Primes" Paseman, 2015.06.30 | |
| Jul 1, 2015 at 4:32 | comment | added | user57432 | I think that I was too occupied regarding the truth of the conjecture. well, thanks for your suggestion, I will surely try that when I get some time. However, it would be great to have some literature regarding this conjecture. | |
| Jul 1, 2015 at 4:30 | history | edited | user57432 | CC BY-SA 3.0 |
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| Jul 1, 2015 at 4:28 | comment | added | Gerhard Paseman | If you think about how such a conjecture could fail, you could imagine a dense constellation of primes between x and (x+y)/2 and very few primes between (x+y)/2 and y In fact, it is likely that both conjectures fail infinitely often, and conjecture 2 certainly fails for x=y. You might consider running a computer program to check your conjecture for a few million pairs (x,y), to see how it fails. Gerhard "Ask Me About Prime Gaps" Paseman, 2015.06.30 | |
| Jul 1, 2015 at 4:20 | history | edited | user57432 |
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| Jul 1, 2015 at 4:13 | history | asked | user57432 | CC BY-SA 3.0 |