Need A Project

[phillip1882]

as the title suggests I'm looking for something to do, as I'm bored. (looks at turtle...)

[Turtle]

as the title suggests I'm looking for something to do, as I'm bored. (looks at turtle...)

Turtle looks back.

 

Nice to hear from you Phillip. I don't have anything new off the cuff as my interest these past few years has become focused on botany. I'll do some thinking and see if I can conjure something up.  Maybe something with Fibonacci numbers, as they are so intimately connected with botany?  A plot of them on Ulam's spiral might be interesting, though I suspect it will be rather lean.

 

While I haven't done much new, I have been running a modified version of some of your code almost continuously for the past 3 years. (It's currently servicing ~10 billion successive Natural numbers per day.) I must say yet again, I am forever in your debt.

Edited October 15, 2016 by Turtle

[phillip1882]

I've been thinking about revisiting the figurate number sequence since it seems our previous discussion on them got deleted.

i was also briefly considering doing the primes, but so much research has been done on prime numbers that i doubt i can add anything new.

 

3 years turtle?! wow! its an honor to know my life had some value, even if a small one.

[phillip1882]

what do you think of the following sequence turtle?

 1  1  2  3  5  8 13 21
 2  2  4  6 10 16 26 
 3  4  7 11 18 29
 5  7 12 19 31
 8 12 20 32
13 20 33

[Turtle]

I've been thinking about revisiting the figurate number sequence since it seems our previous discussion on them got deleted.

The thread remains except for all my posts, which I deleted. (I do have a copy however.) I did this because -rightly or wrongly- I was getting the distinct impression my/our work was being coopted. That is to say I was seeing material on the web that appeared to be mine/ours and it was being used without my/our permission. I remain torn on the issue as the work is of little use unless published, and yet publishing lets the cat out of the bag. (Arguably I'm a little bit whacko, but that's an argument I wouldn't contest. ;) )For the same reason I have not put my results on OEIS or contacted them to correct errors on sets we have worked with that they have listed. Any work posted there, they claim copyright for. Perhaps you have some ideas on the subject. ?

 

i was also briefly considering doing the primes, but so much research has been done on prime numbers that i doubt i can add anything new.

Since all Primes -except 2- are non-poly and other numbers are also non-poly, there may be some avenue to pursuing Primes in relation to the other non-polys and the classes I denominated for them and that would be new. Here again, I am reluctant to make public my research in this area. :zip:  :warped: 

 

3 years turtle?! wow! its an honor to know my life had some value, even if a small one.

It's just that little bit of whacko I earlier mentioned that makes 3 years nothing to me. (I have many gigabytes of archived data, as you may well surmise.)  :hammer: Were it not for you and others here such as Modest & Donk who have written code to my prescriptions, I would never have been able to pursue my research to the depth and breadth that I have. Arcane as the subjects have been, you are all invaluable giants in my mind. I doff my hat to you gentlemen!  

 

On your sequences, I put them into OEIS and found some results indicating they are also considered Fibonacci sequences.

1 1 2 3 5 8 13 21

2 2 4 6 10 16 26 http://oeis.org/search?q=2%2C++2%2C++4%2C++6%2C+10%2C+16%2C+26&sort=&language=english&go=Search

3 4 7 11 18 29 http://oeis.org/search?q=3%2C++4%2C++7%2C+11%2C+18%2C+29&sort=&language=english&go=Search

5 7 12 19 31 http://oeis.org/search?q=5%2C++7%2C+12%2C+19%2C+31&sort=&language=english&go=Search

8 12 20 32 http://oeis.org/search?q=8%2C+12%2C+20%2C+32&sort=&language=english&go=Search

13 20 33 http://oeis.org/search?q=13%2C20%2C33&sort=&language=english&go=Search

Edited October 15, 2016 by Turtle

[phillip1882]

unfortunately i cant think of anything new to add to our discussion of the figurates/non-figs,  we seem to have covered every thing of value, don found a tight fit equation for the total,

we know that overlaps probably don't exceed non figs, we know how to calculate whether a particular number is figurate, we know how to calculate the number of overlaps, we have a list of all non figs/figs up to 8 trillion, I'm not sure what  else we need to do.

[Turtle]

unfortunately i cant think of anything new to add to our discussion of the figurates/non-figs,  we seem to have covered every thing of value, don found a tight fit equation for the total,

we know that overlaps probably don't exceed non figs, we know how to calculate whether a particular number is figurate, we know how to calculate the number of overlaps, we have a list of all non figs/figs up to 8 trillion, I'm not sure what  else we need to do.

First, I was wrong about the thread still being here; I had it all deleted.

 

Second, Don's work is and was worthless, as I and quite a few others demonstrated here and at several other forums. Moreover, he used my work from here on other sites without my permission or giving me credit and discussing him further will only serve to anger me. :rant:

 

In conclusion, I had written a few paragraphs on the past & present state of my polygonal number research, but changed my mind about posting. Suffice it to say that I continue to find considerable value, new results, & personal satisfaction in it. If I get a project idea for you I'll definitely post it.

Edited October 15, 2016 by Turtle

[Turtle]

Well Phillip, I think you bailed far too early in this thread. >> Deficient & Abundant Number Fun

 

 

7 billion

edit:

alright turtle, 10 billion, and no luck. i'm calling it there.

OK. Good effort.

 

Conjecture: 18 is the only natural number abundant by 3.

 

There may be other questions in the thread suitable to a project if you're not into pursuing the abundant-by-3 question.

[CraigD]

as the title suggests I'm looking for something to do, as I'm bored. (looks at turtle...)

I’m not Turtle, but if you’re looking for something numerical to do, consider my 11-year old thread “the Starburst Challenge”.

 

It the philosophically deepest thin I think I’ve ever thought of, and though I’ve not done a thorough websearch since last year, something hardly anybody’s give much attention.

[phillip1882]

looks fairly simple to solve to me. let's make our alphabet 27 characters, A-Z and space.

then simple make the compression alphabet 27^2 = 729 characters. we can use Chinese characters or something, what we use doesn't matter too much, as long as we know what number it represents. then conversion from our Chinese alphabet to our English one is 2-1, making it very straight forward.

Edited October 29, 2016 by phillip1882

[CraigD]

[The Starburst Challenge] looks fairly simple to solve to me. let's make our alphabet 27 characters, A-Z and space.

then simple make the compression alphabet 27^2 = 729 characters. we can use Chinese characters or something, what we use doesn't matter too much, as long as we know what number it represents. then conversion from our Chinese alphabet to our English one is 2-1, making it very straight forward.

I replied to this in the old Starburst Challenge thread, here.

 

Please give the challenge a go. I think you’ll find it … not simple. :)