Timeline for What is so special about Prime?
Current License: CC BY-SA 4.0
22 events
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Sep 9, 2022 at 11:56 | vote | accept | Artes | ||
Sep 9, 2022 at 11:56 | history | edited | Artes | CC BY-SA 4.0 |
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Sep 8, 2022 at 17:01 | history | edited | Artes | CC BY-SA 4.0 |
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May 4, 2022 at 10:48 | answer | added | Steffen Jaeschke | timeline score: 2 | |
Feb 5, 2020 at 14:48 | review | Suggested edits | |||
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Nov 19, 2015 at 18:17 | history | edited | J. M.'s missing motivation♦ | CC BY-SA 3.0 |
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Nov 19, 2015 at 17:59 | history | edited | J. M.'s missing motivation♦ | CC BY-SA 3.0 |
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S Apr 17, 2015 at 10:36 | history | suggested | VividD |
prime-numbers tg
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Apr 17, 2015 at 9:42 | review | Suggested edits | |||
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Mar 22, 2012 at 18:38 | answer | added | Daniel Lichtblau | timeline score: 25 | |
Mar 22, 2012 at 9:53 | answer | added | Andrzej Kozlowski | timeline score: 30 | |
Mar 22, 2012 at 9:11 | comment | added | Artes |
@OleksandrR. There is an obvious mathematical relationship between these functions : they are "almost" inverse, I mean e.g. : Prime@PrimePi@Range[101, 105] returns 'Range[101, 105]` , i.e. identity, but not PrimePi@Prime . There are also some issues of their internal implementations which are certainly more obscure.
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Mar 22, 2012 at 3:19 | comment | added | Oleksandr R. |
An interesting observation is that Prime calls PrimePi many (namely, 1,013,381) times when given an argument of your OmegaPrime : nums = Reap[Internal`InheritedBlock[{PrimePi}, Unprotect[PrimePi]; pp:PrimePi[n_] /; (Sow[n]; True) := pp; Protect[PrimePi]; Prime[7783516045221]]][[2, 1]]; ListLogLogPlot[nums, MaxPlotPoints -> 1000, Joined -> True] gives nearly a straight line. What this means, if anything, I have no idea, but it shows at least some concrete relationship between the two functions.
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Mar 22, 2012 at 3:04 | history | tweeted | twitter.com/#!/StackMma/status/182663928910852096 | ||
Mar 22, 2012 at 1:01 | comment | added | Artes |
@murray I gave Attributes here only for instance of what one could expect since I had checked this before and it hadn't enlightened me more.
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Mar 22, 2012 at 0:55 | comment | added | murray |
One should certainly not expect Attributes to answer such a question, as that function deals with various general-type properties. My guess is that the only possibility beyond experimentation is looking at the documentation. And if that doesn't help, ask Wolfram tech support.
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Mar 22, 2012 at 0:48 | comment | added | Artes |
@belisarius Thank You ! I believe there is a need for Primes tag since M contains quite a good functionality in this field and there could appear many interesting and related questions.
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Mar 22, 2012 at 0:36 | comment | added | Dr. belisarius | Really a nice question. I doubt any answer (and I have none) will deserve more upvotes than the question. | |
Mar 21, 2012 at 22:57 | comment | added | Artes | @Mr.Wizard Thanks for your support. I really have many questions but not too much time to formulate them. | |
Mar 21, 2012 at 22:53 | comment | added | Mr.Wizard | I love the questions people come up with. +1 | |
Mar 21, 2012 at 22:46 | history | edited | Artes | CC BY-SA 3.0 |
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Mar 21, 2012 at 22:39 | history | asked | Artes | CC BY-SA 3.0 |