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  • #276
WWGD
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Now he just needs to get up to 1,224,936 likes. That's 106*107*108.
I remember Halls of Ivy at one point reached 32768= ## 2^{15} ## posts. It seemed like a shame to
write anything else , since he needed another 32768 to reach ## 2^{16} ##
 
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  • #277
WWGD
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There is no way to listen to Lemmy low.
I'll listen. Lemmy have it!
 
  • #278
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I remember Halls of Ivy at one point reached 32768= ## 2^{15} ## posts. It seemed like a shame to
write anything else , since he needed another 32768 to reach ## 2^{16} ##
310 = 59049 comes a bit earlier.
There is also 66 = 46656.
 
  • #279
813
616
mfb 106•107 + 2 ...

= 709x2⁴

Also the previous (13342)/2 = 53•107 ...

Finally, Drakkith 4884 = 1221•4 = 407•3•4
 
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  • #280
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@OCR Perhaps a more positive song by John Prine (in reference to the "link" you provided) is "Hello in There" or "In Spite of Ourselves". His guitar playing is good in the song, but his songs "Sam Stone", "Angel from Montgomery", and "Dear Abby" are much more inspiring than the song in the "link". Anyway, I enjoy the "likes" page and I am glad the Physics Forums keeps this statistic.
ooh another John Prine fan
I got to see and hear him perform in Milwaukee,
and again in Maywood, IL, where he'd grown up ##-##
I wanna cry that we lost him to the virus ##-##
I think that he woulda been even more upset that
we lost Mary Ann than that we lost him
even after he beat throat cancer
what a great songwriter singer performer he was ##\dots##
 
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  • #282
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Not anymore! I really ( and literally) liked your post. And suspense. Germans ahead.
This is probably due to the fact that against all rumors we actually do have humor!
E.g.:

https://www.youtube.com/watch?v=HPZX7EZIFD0
https://www.youtube.com/watch?v=lddoHQIZQto
https://www.youtube.com/watch?v=5n7VI0rC8ZA
 
  • #283
WWGD
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mfb 106•107 + 2 ...

= 709x2⁴

Also the previous (13342)/2 = 53•107 ...

Finally, Drakkith 4884 = 1221•4 = 407•3•4
There are other interesting ones around, like 40320=8!
 
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  • #284
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There are other interesting ones around, like 40320=8!
That one's good ##-## the problem of finding all mathematically interesting ZIP codes may be tougher than NP-hard or NP-complete ##-## what about halving the length? ##-## in the Chinese historical novel The Water Margin (the term refers to a swampy area) (the novel is part of The Three Kingdoms set of works) the Monks in the Shao-Lin Temple were killed as the Ching dynasty overthrew the Ming Dynasty and General Kwan and his 2 friends escaped and swore an oath of fidelity in the Peach Garden, and went to the marshy area with 108 Disciples.

##108=1^1 \times 2^2 \times 3^3##
 
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  • #285
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That one's good the problem of finding all mathematically interesting ZIP codes may be tougher than NP-hard or NP-complete
All of them are interesting. If there would be a boring ZIP code then there would be a smallest boring ZIP code, which would be an interesting property - contradiction.
 
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  • #286
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All of them are interesting. If there would be a boring ZIP code then there would be a smallest boring ZIP code, which would be an interesting property - contradiction.
Of course that's right, but of course, that doesn't make all numbers equally interesting ##\dots##
 
  • #287
Ibix
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Of course that's right, but of course, that doesn't make all numbers equally interesting ##\dots##
But in that case the least interesting number is surely more interesting than the least-interesting-but-one number, which presents a problem.
 
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  • #288
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Of course we do know, interestingness partly inheres in us; not only in the things in which we're interested.
 
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  • #289
WWGD
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All of them are interesting. If there would be a boring ZIP code then there would be a smallest boring ZIP code, which would be an interesting property - contradiction.
Still, we will always have boring machines ;).
 
  • #290
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Still, we will always have boring machines ;).
I use mine if I want to make whipped cream.
 
  • #291
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But in that case the least interesting number is surely more interesting than the least-interesting-but-one number, which presents a problem.
No, numbers can get decreasingly interesting as they get larger.
 
  • #292
Drakkith
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No, numbers can get decreasingly interesting as they get larger.
Well I hope you didn't tell them that. No reason to be rude to already overly-sized numbers.
 
  • #293
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Hey, it's not my fault that 7583545425224273734+752373354421262623 is so large.

PS: This is likely the first time anyone ever considered this specific number. I made it far more interesting than before.
 
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  • #294
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Hey, it's not my fault that 7583545425224273734+752373354421262623 is so large.

PS: This is likely the first time anyone ever considered this specific number. I made it far more interesting than before.
You should name it and demand its prime factor decomposition to be listed on OEIS! Did anyone ever wondered that although we stress that ##n\to \infty## all the time, we rarely deal with anything larger than say 1,000,000?
 
  • #295
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A57534454646343
Prime factorization of 7583545425224273734+752373354421262623:

2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
 
  • #296
14,117
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A57534454646343
Prime factorization of 7583545425224273734+752373354421262623:

2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
Fresh conjecture: The 62,624th number of this sequence is greater than 3.
 
  • #297
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It's not:
7583545425224273734+752373354421262623 = 25425224273734*3791775425224273734 + 22*62623 * 362623 * 62697779535162623
The first 125246 numbers are all "2".

The first term is not divisible by 3 but the second is, so we do not get a factor 3.
Mod 5 the first term is 4 and the second term is 3, so the number is not divisible by 5 either.

@PeterDonis joined our club of 11,000+.
 
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