I wonder why people don't upvote my question, it's a good one

@JasonBourne I focus on math, but I have not deleted my other accounts. I was even thinking of helping out the Astronomy & Astrophysics startup

@robjohn, i posted mty complete solution

do you think this would get answered here? mathoverflow.net/questions/42386/…

@JasonBourne good - I have not answered any questions on the site for quite a few days - too busy answering questions of my own at the moment :)

Hey I have a quick question for someone, I was just wondering if anyone has ever proved that there are infinitely many Pentagonal-Triangular numbers. (I came up with a proof in my number theory class a long ways back for extra credit that involved Brahmagupta's lemma), (The problem boils down to a pell-like equation for which there are infinitely many solutions).

@RustynYazdanpour, that sounds good

@RustynYazdanpour sounds vaguely similar to finding all square triangular numbers (again, an infinite sequence of solutions) - I wonder if every pair of "figurate numbers" gives rise to a similar Pell-like equation?

e.g. are there any pentagonal-heptagonal numbers, etc?

mathworld.wolfram.com/HeptagonalPentagonalNumber.html lol

@OldJohn Yes I find these problems interesting, I handled all the square,triangular,pentagonal cases deriving every scenario.

@user58512 I've seen those sites... It doesn't say that there are infinitely many solutions for the pentagonal-triangular cases... It just gives solutions

I would be interested in the general case: are there an infinite number of n-agonal numbers which are also m-agonal?

I wonder if you saw this, very good question

I added cos^2 to both sides and thought I'd solved it for a moment, but didn'tt

want to see it solved

@OldJohn So would I. For example there are no pentagonal-square-triangular numbers. It is not hard to derive silcox's system.

no pentagonal-square-triangular other than the trivial (1,1,1)

HI folks

link is for @RustynYazdanpour and @OldJohn

hi

what is silcox system

@JasonBourne :)

@user58512 See: mathworld.wolfram.com/PentagonalSquareTriangularNumber.html

@JasonBourne That really was a ground fruit... +1

that's interesting!

Ah. ok

Hi @WillJagy

hello

Hi @OldJohn

Hi @WillJagy @Theorem

haha @JasonBourne

thats a good idea

OH! I just got what the room description means when it says "Rarely, if ever, expressible as a ratio of integers." Funny how you can look at something so much and never notice it...

Hi Jodie Foster

@anorton a bit like "meditating on numbers which are not zeros of polynomials with integer coefficients" ?

Ah! I can talk again.

Why do I get suspended for precisely this?: "Might get a suspend for that again - lots of backstabbing assholes that expect everything to be delivered to them asap."

How do you type unequal in tex ?

@JonasTeuwen why can you only now talk again?

\ne

@OldJohn I guess so... (I'm forgetting what those numbers are at this time)

@JonasTeuwen because you always insult ppl , i told you before.

@anorton "transcendental"

I only insult the ones that feel insulted, as there is no precise target.

Doh. thanks

Hi @anon

And you have felt insulted in the past, suggesting you think of yourself as an idiot - funny.

@JonasTeuwen thats weird , to most people ' retard ' or ' wanker ' is considered an insult !

Have I said wanker?

and more

your asking for it

He request to stop.

I did. He left, you continued.

thats nonsense

pardon my french

dem flags

you insulted me five times before i flagged

It is not, and please use correct English.

Please remain civil. Thank you.

sorry to disturb mahnax.

@OldJohn hi

how are you doing

@mick OK thanks

@JasonBourne i fear he will never learn.

@OldJohn good to hear. Today a simple question :) how do a type an inequal sign in tex ? thank you.

\ne produces $\ne$

How do I figure out which Journal to submit a paper to?

@OldJohn THANKS

@JasonBourne It worked

@AnthonyPeter What is your paper about?

:)

@JasonBourne :]

@mick, I use this artofproblemsolving.com/Wiki/index.php/LaTeX:Symbols

@

@JasonBourne Yep also used the wrong room :)

@OldJohn N-nacci numbers

and Complex Analysis

@AnthonyPeter are you sure that you have discovered/proved results which have never appeared before?

@AnthonyPeter A common way to find out which journal is worth submitting to is to find a journal which has already published papers in your area - and if you find a paper which includes the words " ... it is not known if XXX is true ..." and your paper includes a proof of XXX - then that would be a good journal to submit to

Hmmm - people are starring things that I say tonight ... I must be careful what I say!

Ah, Anthony. You're here. I looked through your paper, and it is reasonable. I'll look through it again and pay a bit more attention soon.

@JasonBourne ??

brb

@JasonBourne math is just my hobby.

detexify.kirelabs.org

mixedmath is in blue !!

enjoy

goodnight ppl !!

@user58512 bye

@OldJohn bye

@all bye

@JasonBourne bye

i have a quick question

if we click 'users'

@OldJohn Starred. :P

what does the number associated with each user

represent?

@anorton (removed) :)))

@OldJohn Look--there's still stars next to the (removed) text! :D

Oh i get it

@JasonBourne Breakfast? At this hour? (I sure hope you live in a different time zone than I do)

it's reputation earned during the allotted time.

OK - I resign!!!

@GustavoBandeira lol (removed) lol

Am I the only one tempted to star everything Old John says tonight? (I guess I shouldn't, though...)

If I deleted a post is there anyway I can go back and look at it?

@anorton Soon a metamoderator will appear, he will threaten the lives of your family - forcing you to stop.

@GustavoBandeira I was afraid of something like that happening...

=)

Hi @BrianM.Scott welcome back!

@OldJohn I saw that you were here and thought that I’d drop in for a little.

I see that they’re trying to make a star of you!

@BrianM.Scott Thank you! Maybe I should post loads of stuff until they get tired of starring :)

So what’s new and exciting? Anything?

How is life treating you?

@BrianM.Scott not much mathematical - apart from the fact that I finally got round to reading "Visual Complex Analysis" and wish I had read it years ago

I’ve been living with a nagging but very minor cold for several weeks now; it’s not a problem, but it’s certainly a bloody nuisance!

- and I have re-started classical guitar

@OldJohn I remember seeing that mentioned in some answer fairly recently.

@OldJohn That sounds promising, though I expect that re-starting has more than its share of frustrations.

@BrianM.Scott yes - sore fingers and missed notes, mainly - but it comes back surprisingly quickly ... especially now that fully internalised the fact that I am never going to sound like Segovia :)

but that should never stop my enjoyment

@OldJohn Sounds rather like bicycling (but I never even dreamed of reaching the Eddy Merckx standard).

@BrianM.Scott Yeah - I think all these things become more satisfying when I accept my limitations, and just enjoy doing what I can - in maths, and music ... and pretty much everything

@OldJohn That's a thought worthy of staring!

@OldJohn If I’m really mediocre, I prefer to enjoy myself by myself; if I’m pretty good but not outstanding at something, I tend to spend time with people just a bit better than I.

What does the euler product look like for the dirichlet beta function?

@JasonBourne I thought that looked odd, yeah.

@JasonBourne I got it :)

@BrianM.Scott That is an excellent philosophy - worth emulating

@OldJohn It certainly did wonders for my running and cycling!

@JasonBourne yes, indeed - but then, does the rest of the world know who "Old John" and "Jason Bourne" really are in the outside world?

@BrianM.Scott I bet it did!

cycling I enjoy - running has never been one of my interests!

@OldJohn, I know that your name is the same as your son's, just with 20s of work...

@JasonBourne but there are lots of retired teachers called John - and even more bananas - and even if they know my real name, they cannot identify me, as my son has exactly the same name, so does an orchestral conductor in the UK, and several other people :)

@JasonBourne Well after much humming and hemming I asked John if he can help me out. I just got stuck. I cldnt follow it

@anorton yes - but most of the information about both of us that is on the Internet is wrong :)

@OldJohn Sure, sure... :)

I don't know, I think it's easier to find people on the internet than you think.

well - at least the information needed to carry out a decent identity-theft is wrong :)

I definitely feel sorry for people with very unique names thats for sure.

@AlexJBest yeah "Kim dot com" has a real problem there :)

@JasonBourne Well you explained that to me :)

Hahaha indeed :D

@JasonBourne Great Question