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Timeline for What is so special about Prime?

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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
Apr 17, 2015 at 9:42 review Suggested edits
S Apr 17, 2015 at 10:36
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.
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.
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.
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.
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.
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