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

MarcinLesniak · 2018-03-27, 17:27

Hi Guys,
I'd like to share with you my proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2.
It's very simple and intuitive - based on my idea of patterns of divisibility of numbers.
What do you think about it?
https://youtu.be/Q4qpsdNugFk

Marcin

Batalov · 2018-03-27, 18:04

Why not simply put it in writing?

Dr Sardonicus · 2018-03-27, 19:59

Quote:

Originally Posted by MarcinLesniak

Hi Guys,
I'd like to share with you my proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2.
It's very simple and intuitive - based on my idea of patterns of divisibility of numbers.
What do you think about it?
https://youtu.be/Q4qpsdNugFk

Hmm. URL looks squirrelly. Let's see what comes up under "Marcin Lesniak." Ah, youtube username. Last part /Q4qpsdNugFk of squirrelly URL matches youtube video on Legendre's conjecture.

Numbers plane | The real nature of numbers | PRIMES pattern 45:39
Published on Feb 5, 2018

Proof of Legendre's conjecture - there is always a prime between n^2 and (n+1)^2 32:40
Published on Mar 25, 2018

Well, the current one is shorter than the previous one.

Hmm, Twitter posts about Legendre conjecture, under username @lesniakowie

Possibly coincidental, but numbersplane.com might be related to that first youtube video. Creation date matches. Looks like server is in Poland. URL and E-mail links clumsily de-activated by Yours Truly.

whois numbersplane.com
Domain Name: NUMBERSPLANE.COM
Registry Domain ID: 2223268984_DOMAIN_COM-VRSN
Registrar WHOIS Server: whois.PublicDomainRegistry.com
Registrar URL: [/url]http://www.publicdomainregistry.com[/url]
Updated Date: 2018-02-21T05:44:32Z
Creation Date: 2018-02-05T13:51:39Z
Registry Expiry Date: 2019-02-05T13:51:39Z
Registrar: PDR Ltd. d/b/a PublicDomainRegistry.com
Registrar IANA ID: 303
Registrar Abuse Contact Email: [/email]abuse-contact@publicdomainregistry.com[/email]
Registrar Abuse Contact Phone: +1.2013775952
Domain Status: clientTransferProhibited [/url]https://icann.org/epp#clientTransferProhibited[/url]
Name Server: NS1.REJESTRACJADOMEN.PL
Name Server: NS2.REJESTRACJADOMEN.PL
DNSSEC: unsigned
URL of the ICANN Whois Inaccuracy Complaint Form: [/url]https://www.icann.org/wicf/[/url]
>>> Last update of whois database: 2018-03-27T19:34:42Z <<<

MarcinLesniak · 2018-03-27, 20:03

Because in such a form it is much easier to understand. The proof is based on the idea of PATTERNS of divisibility, and patterns generally are I would say quite a graphical concept :-)
Marcin

MarcinLesniak · 2018-03-27, 20:09

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.

a1call · 2018-03-27, 20:17

YouTube share links starts with youtu.be.
This makes some people nervous as phishing but it is actually a legit domain linked to from YouTube.

MarcinLesniak · 2018-03-27, 20:23

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

science_man_88 · 2018-03-27, 20:42

Quote:

Originally Posted by MarcinLesniak

Because in such a form it is much easier to understand. The proof is based on the idea of PATTERNS of divisibility, and patterns generally are I would say quite a graphical concept :-)
Marcin

Graph a(n)= P*(a(n-1))-Q*(a(n-2))

chalsall · 2018-03-27, 20:47

Quote:

Originally Posted by MarcinLesniak

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).

Have you ever, by any chance, watched this video?

Professor Tao didn't even need to use a spreadsheet....

a1call · 2018-03-27, 20:59

You can just Google:
youtu.be link

MarcinLesniak · 2018-03-27, 21:10

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, and I hoped it will be easier to understand for anybody.
So I know and accept already that some of you may not like that form, but maybe let's talk about thesis and proof itself?
In my opinion, the idea, and correctness of the reasoning and proof as itself is important, not a form.
But of course, I do appreciate your advice on this issue ;-)
Marcin

2018-03-27, 17:27	#1
MarcinLesniak Mar 2018 11011₂ Posts	Proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2 Hi Guys, I'd like to share with you my proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2. It's very simple and intuitive - based on my idea of patterns of divisibility of numbers. What do you think about it? https://youtu.be/Q4qpsdNugFk Marcin

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2018-03-27, 18:04	#2
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 7×23×61 Posts	Why not simply put it in writing?

2018-03-27, 20:03	#4
MarcinLesniak Mar 2018 3³ Posts	Because in such a form it is much easier to understand. The proof is based on the idea of PATTERNS of divisibility, and patterns generally are I would say quite a graphical concept :-) Marcin

2018-03-27, 20:09	#5
MarcinLesniak Mar 2018 3³ Posts	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.

2018-03-27, 20:17	#6
a1call "Rashid Naimi" Oct 2015 Remote to Here/There 2·19·59 Posts	YouTube share links starts with youtu.be. This makes some people nervous as phishing but it is actually a legit domain linked to from YouTube.

2018-03-27, 20:23	#7
MarcinLesniak Mar 2018 11011₂ Posts	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

2018-03-27, 20:59	#10
a1call "Rashid Naimi" Oct 2015 Remote to Here/There 2·19·59 Posts	You can just Google: youtu.be link

2018-03-27, 21:10	#11
MarcinLesniak Mar 2018 3³ Posts	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, and I hoped it will be easier to understand for anybody. So I know and accept already that some of you may not like that form, but maybe let's talk about thesis and proof itself? In my opinion, the idea, and correctness of the reasoning and proof as itself is important, not a form. But of course, I do appreciate your advice on this issue ;-) Marcin