20220116, 17:13  #1 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
DF9_{16} Posts 
Offtopic
Like Cunningham table to various bases, is there any interest to factor the numbers similar to Fibonacci numbers A000045? e.g. Pell numbers A000129, 3Fibonacci numbers A006190, 5Fibonacci numbers A052918, 6Fibonacci numbers A005668, etc. (Note: 4Fibonacci numbers A001076 do not need their own table, since their factorization can be converted to the factorization of the Fibonacci numbers: F(4,n) = F(1,3*n)/2, like that the perfect power bases do not need their own Cunningham table. The kFibonacci number do not need their own table if and only if A013946(k) is the same as a previous term, like that b^n+1 do not need their own Cunningham table if and only if A052410(b) is the same as a previous term)
Last fiddled with by sweety439 on 20220116 at 17:19 
20220201, 06:35  #2 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
7^{2}·73 Posts 
Some sequences like the Motzkin numbers A001006:
* Fubini numbers A000670: For n<=12000, a(n) is prime only for n = 2, 3, 5, 7, 9, 13, see A290376 * Bell numbers A000110: For n<=100000, a(n) is prime only for n = 2, 3, 7, 13, 42, 55, 2841, see A051130 * Euler zigzag numbers A000111: For n<=69574, a(n) is prime only for n = 3, 4, 6, 38, 454, 510, see A103234 (for odd n, a(n) is even, thus the only prime is a(3) = 2) There are only very few primes in these four sequences, unlike the Fibonacci numbers A000045, the Pell numbers A000129, the Jacobsthal numbers A001045, the Perrin numbers A001608, the Padovan numbers A000931, the Narayana numbers A000930, there are many primes in these six sequences. Can you find the next Fubini (probable) prime after A000670(13) = 526858348381? 
20220201, 19:52  #4 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
29F7_{16} Posts 

20220204, 05:50  #5 
"Tucker Kao"
Jan 2020
Head Base M168202123
2×389 Posts 
This thread is under Blogorrhea which has been more of the personal space granted to sweety439, just in case you don't know, sweety439 also enjoys to play around the dozenal math stuffs.
Last fiddled with by tuckerkao on 20220204 at 05:53 
20220204, 06:40  #6 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2·3·1,657 Posts 

20220204, 10:58  #7  
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
7^{2}·73 Posts 
Quote:
(I try to use Autofill for this, but no success, for the options, I selected "JavaScript" for type and typed these texts for value: Code:
var x = document.querySelector('input[name="query"]'); x.value = '123'; document.querySelector('[type="submit"][value="Factorize!"]').click(); var y = document.querySelector('input[name="query"]'); y.value = '456'; document.querySelector('[type="submit"][value="Factorize!"]').click(); var z = document.querySelector('input[name="query"]'); z.value = '789'; document.querySelector('[type="submit"][value="Factorize!"]').click(); but why the factordb only enters 789 to factorize, and does not enter 123 and 456?) Last fiddled with by sweety439 on 20220204 at 11:12 

20220204, 21:09  #8  
Mar 2019
3×101 Posts 
Quote:
I am wondering why OP does not test these sequences {him,her}self. Or, if for a lack of compute resources: why are they important enough that others should test them? 

20220204, 21:20  #9 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
3·3,581 Posts 
There are theoretical physics and there are experimental ones. Just maybe the person in question leans to the theoretical end of maths.

20220204, 23:00  #10  
"Tucker Kao"
Jan 2020
Head Base M168202123
2×389 Posts 
Quote:
I saw a mechanical product online recently and it showed the product number of 48532837  https://www.pinterest.com/pin/501236633550226758/ So I've decided that I want to run a PRP test of 2^{48,532,837}  1 myself(This exponent is a decimal composite but a dozenal prime with a different interpretation), my reason won't be good enough to convince anyone else, glad I have to plenty computing resources under my roof to finish it without bothering Kriesel again. Last fiddled with by tuckerkao on 20220204 at 23:04 

20220204, 23:07  #11  
Sep 2002
Database er0rr
5×857 Posts 
Quote:


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