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Search took 0.01 seconds. Search: Posts Made By: MarcinLesniak

Forum: Miscellaneous Math

2022-03-23, 10:17

Replies: 0

On the density of Euler’s Phi function of the sets of numbers in form of p+/-n and their relation to

Views: 565

Posted By MarcinLesniak

On the density of Euler’s Phi function of the sets of numbers in form of p+/-n and their relation to

Hey everyone,
I found an interesting property of the sets of the numbers in form of p+/-n (all the primes being shifted forward or backward by the given n)
It occurs the average density of Euler’s...

Forum: Miscellaneous Math

2019-03-26, 23:30

Replies: 16

Idea of numbers' plane - do you think it could be useful?

Views: 2,291

Posted By MarcinLesniak

Very nice! :) To be able to work with the...

Very nice! :)

To be able to work with the plane (analyse the relations, make some observations) would be good to have it interactive - to be able to add some lines going through given points etc....

Forum: Miscellaneous Math

2019-03-26, 17:52

Replies: 16

Idea of numbers' plane - do you think it could be useful?

Views: 2,291

Posted By MarcinLesniak

Cool disc - I've never seen anything like that...

Cool disc - I've never seen anything like that before :-), and what's the role of this pattern on its surface?
Anyway, an arrangement of the unities isn't most important - the interesting things in...

Forum: Miscellaneous Math

2019-03-26, 05:42

Replies: 16

Idea of numbers' plane - do you think it could be useful?

Views: 2,291

Posted By MarcinLesniak

:-) - but anyway you were for sure faster than...

:-) - but anyway you were for sure faster than myself in Graph.
Do you have to separately describe the status (rel. prime or not) of the single unity/dot, or you can run some script making it?

...

Forum: Miscellaneous Math

2019-03-25, 22:58

Replies: 16

Idea of numbers' plane - do you think it could be useful?

Views: 2,291

Posted By MarcinLesniak

I mean to mark/color the dots being relatively...

I mean to mark/color the dots being relatively prime unities within a given number.
So for example when n=6 then (taking that r=rel.prim and b=not) we've got: r b b b r b
It is so, that these...

Forum: Miscellaneous Math

2019-03-25, 22:36

Replies: 16

Idea of numbers' plane - do you think it could be useful?

Views: 2,291

Posted By MarcinLesniak

Yes - it's correct. And the next one would be to...

Yes - it's correct. And the next one would be to mark/color these being either relatively prime or the remaining ones :-)

Forum: Miscellaneous Math

2019-03-25, 19:27

Replies: 16

Idea of numbers' plane - do you think it could be useful?

Views: 2,291

Posted By MarcinLesniak

Would be great if you were able to make some...

Would be great if you were able to make some automation – I’m using the Graph (there’s a link to the file with the plane made in this tool), so it’s fully manual thus it’s very burdensome to extend...

Forum: Miscellaneous Math

2019-03-25, 12:21

Replies: 16

Idea of numbers' plane - do you think it could be useful?

Views: 2,291

Posted By MarcinLesniak

Idea of numbers' plane - do you think it could be useful?

Hi guys,
Some time ago I had an idea to present the numbers in some specific way (actually very simple and natural) and create what I call the numbers’ plane.
Generally, it shows first of all (at...

Forum: Miscellaneous Math

2018-09-01, 00:41

Replies: 8

Possible relation between Catalan’s, Ramanujan-Soldner’s and Brun’s constants

Views: 2,023

Posted By MarcinLesniak

@GP2 Has there really been no progress since...

@GP2
Has there really been no progress since 2008?

Unfortunately as far as I know, not...

Forum: Miscellaneous Math

2018-08-31, 23:44

Replies: 8

Possible relation between Catalan’s, Ramanujan-Soldner’s and Brun’s constants

Views: 2,023

Posted By MarcinLesniak

@Batalov :-) I had a shade of hope that I could...

@Batalov
:-) I had a shade of hope that I could find somebody passionate about this (or closely related) subject for whom such (possible) relation could prompt some direction of explorations :-).

Forum: Miscellaneous Math

2018-08-31, 23:28

Replies: 8

Possible relation between Catalan’s, Ramanujan-Soldner’s and Brun’s constants

Views: 2,023

Posted By MarcinLesniak

Guys, maybe, just to respect some other...

Guys,
maybe, just to respect some other readers' time let's limit ourselves to some more substantive comments, OK? When you have nothing valuable to write/add, just leave without unnecessary...

Forum: Miscellaneous Math

2018-08-31, 21:53

Replies: 8

Possible relation between Catalan’s, Ramanujan-Soldner’s and Brun’s constants

Views: 2,023

Posted By MarcinLesniak

Possible relation between Catalan’s, Ramanujan-Soldner’s and Brun’s constants

Hello guys,
I’d like to encourage you to help to look for the possible explanation of the very interesting formula I have “discovered” some time ago. Goes about the hypothetical relationship between...

Forum: Miscellaneous Math

2018-03-29, 12:00

Replies: 41

Proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2

Views: 5,129

Posted By MarcinLesniak

Exactly :-) - reminding my original post, I only...

Exactly :-) - reminding my original post, I only asked for your opinion (never claiming that I'm one of the guys who are never wrong :-)), and finally, you pointed out the "gap" in my reasoning, for...

Forum: Miscellaneous Math

2018-03-28, 17:25

Replies: 41

Proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2

Views: 5,129

Posted By MarcinLesniak

And this is finally a valuable remark - thanks!...

And this is finally a valuable remark - thanks! :-)
Indeed I found already the proof of these counterexamples, so I have to refine the proof.

Forum: Miscellaneous Math

2018-03-28, 15:03

Replies: 41

Proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2

Views: 5,129

Posted By MarcinLesniak

You did not understand ... even though I was...

You did not understand ... even though I was trying to be somehow too exaggerated ...
I said/wrote (and it is one of the fundaments of the proof) that out of first k primes so, for example, those...

Forum: Miscellaneous Math

2018-03-28, 11:35

Replies: 41

Proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2

Views: 5,129

Posted By MarcinLesniak

Probably I'll have to...

Probably I'll have to...

Forum: Miscellaneous Math

2018-03-28, 04:17

Replies: 41

Proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2

Views: 5,129

Posted By MarcinLesniak

Point please the specific mistakes or "gaps" -...

Point please the specific mistakes or "gaps" - let's talk about details.

Forum: Miscellaneous Math

2018-03-27, 22:16

Replies: 41

Proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2

Views: 5,129

Posted By MarcinLesniak

What can I say - just regret that you did not...

What can I say - just regret that you did not make it to the end ;-)

Forum: Miscellaneous Math

2018-03-27, 22:12

Replies: 41

Proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2

Views: 5,129

Posted By MarcinLesniak

This particular proof not - because it just in a...

This particular proof not - because it just in a simple way shows that the maximal gap between primes in the area between n^2 and (n+1)^2 is shorter than this area.
Because it was the subject of the...

Forum: Miscellaneous Math

2018-03-27, 22:03

Replies: 41

Proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2

Views: 5,129

Posted By MarcinLesniak

And what's not proven there? - where are the...

And what's not proven there? - where are the presuppositions?

Forum: Miscellaneous Math

2018-03-27, 21:54

Replies: 41

Proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2

Views: 5,129

Posted By MarcinLesniak

Is something false there? :-)

Is something false there? :-)

Forum: Miscellaneous Math

2018-03-27, 21:45

Replies: 41

Proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2

Views: 5,129

Posted By MarcinLesniak

Yes, you are unfortunately right... but maybe it...

Yes, you are unfortunately right... but maybe it would be already (we are living in modern reality) worth to break this fossilized approach to proofs :-).
My aim is not to publish somewhere proof...

Forum: Miscellaneous Math

2018-03-27, 21:10

Replies: 41

Proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2

Views: 5,129

Posted By MarcinLesniak

Yes, I have seen it. And did he (Professor Tao)...

Yes, I have seen it. And did he (Professor Tao) by the chance proof there the Legendre's conjecture? :-)
I've chosen such a form of presentation of my thesis and proof because it was easier for me,...

Forum: Miscellaneous Math

2018-03-27, 20:23

Replies: 41

Proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2

Views: 5,129

Posted By MarcinLesniak

Thanks for an explanation, I had no idea about...

Thanks for an explanation, I had no idea about that, and honestly, I didn't even notice the form of the link (that it may look suspicious).
Marcin

Forum: Miscellaneous Math

2018-03-27, 20:09

Replies: 41

Proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2

Views: 5,129

Posted By MarcinLesniak

And what? :-) I do confirm - it's all true. And...

And what? :-)
I do confirm - it's all true. And does it influence somehow the proof, thesis, etc.?
I don't get the point of your post.

Showing results 1 to 25 of 27

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