20190710, 02:10  #34  
"Sam"
Nov 2016
2^{2}·79 Posts 
Quote:
Quote:
Curiously, I discovered this so called "formula" is also good for estimating the next prime of the form k*b^n+1 (assuming there exist an infinite number of primes of this form): Quote:


20190710, 07:31  #35 
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
23621_{8} Posts 
Otto, you are condemned out of your own mouth. By calling you a twit I was being gentle and pulling my punches.
Here you are, given a completely relevant post in a subject about which you care passionately, and you are too stupid even to try to work out what it means. I don't read lots of things  my Python is very poor indeed  but I did at least make an attempt to read it. As well as uneducated, you didn't even try to run the program and examine its outputs. Is that really the behaviour expected of some one as smart as you claim to be? Last fiddled with by xilman on 20190710 at 07:39 
20190710, 07:39  #36 
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
7·1,447 Posts 
I didn't change the title of the thread but I am wondering why "cereus" was chosen.
Changer: you can not be Siruis. What is the possible relevance to this thread of either something which is either a green prickly vegetable, or an organism the output of which can which can cause nausea and vomiting? 
20190710, 07:52  #37 
"Sam Laur"
Dec 2018
Turku, Finland
2^{3}×41 Posts 

20190710, 14:30  #38 
6809 > 6502
"""""""""""""""""""
Aug 2003
101Γ103 Posts
10001000101100_{2} Posts 
Ignorance is no excuse. (Note there is a difference between ignorance and stupidity. Often one can lead to the other, but it is not a given.) As Paul pointed out, you should at least attempt to figure it out. Also, for you it would be good to learn python. You can knock together some code to do number crunching with it. It is fairly human readable, widely used (so you can find the work of others and borrow it), and free. Any budding math scholar should have that in their tool kit.
Your argument that predicting all of something up to a certain point, does not consist of a proof. (Look up the early history of Mersenne primes to see this in action. There are also other sequences that fail after a large number of elements that conform [if you can't find examples, ask and I am sure that someone here can point you to a few].) A proof is a logical, mathematically defensible reason. It is not a guess, not just a bunch of data, nor an idea or feeling. It is a logical string of knowns that establish the validity of the thing sought to be proved. Don't you remember geometry and working through proofs? That same rigor applies to math and number theory. BTW, are you trying to deny Paul the freedom of speech that you are trying to claim you have? Last fiddled with by Uncwilly on 20190711 at 13:54 Reason: added a , 
20190710, 15:51  #39  
Feb 2017
Nowhere
3,583 Posts 
Quote:
I don't know python, either. But I don't have to in order to know what the program is doing. The key phrase "Lagrange interpolation" outside the code tells anyone who bothers to read the post what the program is supposed to be doing. I do know what Lagrange interpolation is. If samuel doesn't, and hasn't bothered looking it up  or didn't bother reading the post in the first place  he obviously isn't really interested anyway. 

20190710, 17:04  #40 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2^{3}×7×163 Posts 

20190711, 12:23  #41  
Feb 2017
Nowhere
110111111111_{2} Posts 
Quote:


20190711, 13:31  #42  
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
2×3×773 Posts 
Quote:
Last fiddled with by kriesel on 20190711 at 13:39 

20190711, 14:12  #43 
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
2·3·773 Posts 
And like other high order polynomial fits, it's notoriously unreliable in extrapolation beyond the data bounds. And it can also be pretty wild between the sorted data points.
Last fiddled with by kriesel on 20190711 at 14:13 
20190711, 14:23  #44  
Undefined
"The unspeakable one"
Jun 2006
My evil lair
1011010111110_{2} Posts 
Quote:
Quote:
It seems the type of polynomial doesn't matter. Just any polynomial will do. As long as f(1)=M1, etc. then you're good to go. 

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