A Conversation for Ask h2g2

Who has a supernatural story or issue?

Post 201

Taff Agent of kaos


but our digits evolvedsmiley - winkeye?????

smiley - bat


Who has a supernatural story or issue?

Post 202

Eveneye--Eegogee--Julzes

They appear to have a history leading up to a conclusion, and that conclusion is that things are clearest in English and its peoples' choice of numeration system. The world would be a better place if everyone thought that, but boring in the extreme if taken to an extreme.


Who has a supernatural story or issue?

Post 203

Taff Agent of kaos

<>

why are they called arabic numerals then??????

and is that propper english or american english????

smiley - bat


Who has a supernatural story or issue?

Post 204

Eveneye--Eegogee--Julzes

The first is a reasonable question, but the answer is too complicated for me to say much without referring to numerous sources. At any rate, in Arabic they use different digits. The second question is too extreme.smiley - yawn


Who has a supernatural story or issue?

Post 205

Taff Agent of kaos


any way!!!! when you mentioned digits being designed, i thought you meant fingers!!!!

smiley - bat


Who has a supernatural story or issue?

Post 206

Eveneye--Eegogee--Julzes

This only belongs here in the context of base ten having a lot of coincidences, but here goes. The first 3-fold intrinsically 7-palindromic number is in bases 9 through 11: 6281826 in base nine is 3360633 in base ten is 1995991 in base 11.smiley - cool


Who has a supernatural story or issue?

Post 207

Eveneye--Eegogee--Julzes

Well, in roughly the same vein (same topic, which barely belongs here), the first number which is a five-digit palindrome in four different bases is almost a concatenation of two 5-palindromes in base ten. 4838419019 is first 5-palindromic in base 91 and then in three more bases.


Who has a supernatural story or issue?

Post 208

Taff Agent of kaos


one is almost ten, the difference is nothingsmiley - winkeye

smiley - bat


Who has a supernatural story or issue?

Post 209

Eveneye--Eegogee--Julzes

The first 5-fold 4-palindrome: 592704000 in base ten.smiley - biggrin


Who has a supernatural story or issue?

Post 210

Eveneye--Eegogee--Julzes

The first base in which it is one: The post number, 209.


Who has a supernatural story or issue?

Post 211

Eveneye--Eegogee--Julzes

I just discovered that the number is 840^3 when I went to find out what the other four bases might be (I didn't put that into the program I wrote to generate these numbers). There is a natural reason that being a cube would increase the number of representations of the form abba. I can tell what three of the other bases are quickly: 279, 419 and 839. That makes four representations of the form (m^3)(3m^3)(3m^3)(m^3), m being the numbers 1 through 4 (in reverse order from the bases). I don't feel like getting the fifth one now. The closest this comes to being supernatural is just the bit about the post number. It doesn't matter a whit that the number ends in three zeros, as it turns out.


Who has a supernatural story or issue?

Post 212

Eveneye--Eegogee--Julzes

Here is something very strange: Why did someone create this list? Look at item 8 (anybody who is paying attention) and then also item 6.
http://users.skynet.be/worldofnumbers/firstpal.htm#sfn3

There is actually even a little more to it, since I thought to convert EE9EE from base 16 and got a hit to a sequence in the OEIS. None of the bases 17-35 give a hit, but the only one of the numbers which can be read upside down without using letters does. It's all quite peculiar.


Who has a supernatural story or issue?

Post 213

Pirate Alexander LeGray

Well you got me. smiley - smiley

The sum of the first n numbers is palindromic; really what kind of numbers since 1+2+3+4 = 10 or are we working in a different base.


Who has a supernatural story or issue?

Post 214

Eveneye--Eegogee--Julzes

The list is the sum of composites up to a certain point giving base-ten palindromes--the palindromes on the list. Very strange question. Another thing is that the weird extra thing to it involved my starting with E=15 rather than 14 and starting in base 16. I got a hit to a sequence that was nonsensically labelled (semiprimes coming from a formula that always gives more than two factors after the first element). Anyway, I sent in a corrective e-mail. Beats the hell out of me what that mistake of mine was about.


Who has a supernatural story or issue?

Post 215

Eveneye--Eegogee--Julzes

Let me give the recent story some detail.

I went to the Online Encyclopedia of Integer Sequences to see if my typo 3360663 had been corrected. The way I checked was to search 3360633, and this is what led me to this extraordinary coincidence, since I got all four hits to the number. One of these is to palindromes of both bases ten and eleven, and apparently my discovery was just missed, because the list for bases nine and ten comes up short. Anyway, the remarkable thing was the finding of http://www.research.att.com/~njas/sequences/A053780, which is best explained at the link provided above. Not only does 3360633 come up in the special way I discovered, but it also comes up as the sum of the first 2380 composite numbers. And not just that, 33633 comes up as the sum of the sum of the first 226. It is a very strange, hardly mathematical, way to deal with numbers, but that's par for the course.

Anyway, the next thing I did was to try to convert EE9EE from bases where it makes sense to base ten. For some reason, I did this as though it were FF9FF. This number yields 1047039 in base ten from base 16, which gives a hit to http://www.research.att.com/~njas/sequences/A152101, which is still wrong right now. The rest of the numbers checked turned up nothing--just the very first thing--with one exception. The exception is that I felt compelled to check the only number that can be read as a pure number without letters upside down. FF9FF in base 28 is 9556611, and 1199556 yields a hit to something interesting itself. This is http://www.research.att.com/~njas/sequences/A048456, which gives the first terms of a collection of related sequences obtained by taking the primes and repeatedly employing the operation that makes the nth term of sequence k the sum of the (n-1)st and (n+1)st terms of sequence k-1 (with 0 for negative index).

That's about the extent of the story.


Who has a supernatural story or issue?

Post 216

Eveneye--Eegogee--Julzes

Here are the links again (without the commassmiley - erm):

http://www.research.att.com/~njas/sequences/A053780
http://www.research.att.com/~njas/sequences/A152101
http://www.research.att.com/~njas/sequences/A048456


Who has a supernatural story or issue?

Post 217

Eveneye--Eegogee--Julzes

Mr. Sloane at OEIS has corrected the sequence in the middle of the last post to only read the formula and not that it is a sequence of semi-primes.


Who has a supernatural story or issue?

Post 218

Eveneye--Eegogee--Julzes

I've decided to change my name in honor of the number 3360633.


Who has a supernatural story or issue?

Post 219

Eveneye--Eegogee--Julzes

I'm still Julzes at wikipedia, where I've been listing coincidences on my talk space.


Who has a supernatural story or issue?

Post 220

Pirate Alexander LeGray

smiley - bigeyes Mmmm it is good to have a choice.


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