- #281
jedishrfu
Mentor
- 14,790
- 9,128
Yay @fresh_42! 10110001001110 is impressive!
and then there's the numdict analysis:
https://numdic.com/11342
and then there's the numdict analysis:
https://numdic.com/11342
This is probably due to the fact that against all rumors we actually do have humor!WWGD said:Not anymore! I really ( and literally) liked your post. And suspense. Germans ahead.
There are other interesting ones around, like 40320=8!Stavros Kiri said:mfb 106•107 + 2 ...
= 709x2⁴
Also the previous (13342)/2 = 53•107 ...
Finally, Drakkith 4884 = 1221•4 = 407•3•4
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.WWGD said:There are other interesting ones around, like 40320=8!
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.sysprog said:That one's good the problem of finding all mathematically interesting ZIP codes may be tougher than NP-hard or NP-complete
Of course that's right, but of course, that doesn't make all numbers equally interesting ##\dots##mfb said: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.
But in that case the least interesting number is surely more interesting than the least-interesting-but-one number, which presents a problem.sysprog said:Of course that's right, but of course, that doesn't make all numbers equally interesting ##\dots##
Still, we will always have boring machines ;).mfb said: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.
I use mine if I want to make whipped cream.WWGD said:Still, we will always have boring machines ;).
No, numbers can get decreasingly interesting as they get larger.Ibix said:But in that case the least interesting number is surely more interesting than the least-interesting-but-one number, which presents a problem.
mfb said:No, numbers can get decreasingly interesting as they get larger.
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?mfb said: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.
Fresh conjecture: The 62,624th number of this sequence is greater than 3.mfb said: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)
How about converting that into a password. Then we'll probably see that "Sorry! This password has been used ..." (Don't you hate that!? ...)mfb said: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.
List of notable numbers:diogenesNY said:Just for fun: type 'interesting numbers' into your favorite search engine.
Plenty of options for losing a whole bunch of time :)
--diogenesNY
I think I understand the interest in the first term in the addition but fail to grasp the second. I almost get it but the second exponent does not pattern for me. Assistance? @WWGD?mfb said: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.
From contemporary correspondence and reports, despite frère Marin's prodigious accomplishments and standing in the science community, le Père Mersenne remained a humble person.fresh_42 said:It seems that everybody who ever dealt with number theory has their own number:
Catalan, Fermat, Mersenne, Wilson, Smith, Waring, Euler, Khinchin, Frans´en, Robinson, Feigenbaum, Fibonacci, Golay, Goldbach, Kaprekar, Carmichael, Giuga, Wieferich, Münchhausen, Wolstenholme, Sierpinski, Cataldi, Ramanujan, Lucas, Riesel, Beaver, Hurwitz, Selfridge, Gillies, Cullen, and so on, and even this strange mathematician called Mirp has numbers.
I want my number, too!
That's surprising given that all four numbers are the result of number-mashing on the keyboard.Klystron said:I think I understand the interest in the first term in the addition but fail to grasp the second. I almost get it but the second exponent does not pattern for me. Assistance? @WWGD?
Ha, I mean LOL. Sarcasm, never a strong point, escapes me more and more with age.mfb said:That's surprising given that all four numbers are the result of number-mashing on the keyboard.
@vanhees71 reached 8000 likes!
Sorry about this; it is bizarre. I have no clue what point I was trying to make here.WWGD said:This is one for high posters : 4294967217. I remember it because I did a small presentation for a number theory seminar in undergrad.
## 4294967297 = 2^{32} +1 = 2^{2^5}+1 =(641)(6700417) ##
I think it is the smallest counter that ## 2^{2^n} +1 ## is always prime. From Euler, IIRC; a real
"Tour de France" ( Tour de Force)".
So, what do you say, @mfb , @berkeman and other high posters? ;).
Uh huh. I've TOLD you about late night drinking and posting !WWGD said:Sorry about this; it is bizarre. I have no clue what point I was trying to make here.