20201108, 15:51  #672 
Oct 2011
2^{2}×5×19 Posts 
Page updated !
All the bases have been updated ! I only had problems with base 29, but it's all fixed now. Bases 72, 220 and 284 added. There is no abnormal behavior for bases 220 and 284. But we still had to check. Thank you all for your precious help ! I also thank you to check if nothing seems abnormal for the bases you have been working on after this big update. Since last summer, we have accumulated a very large amount of new data. And it's still going on. 
20201112, 14:04  #673 
"Ed Hall"
Dec 2009
Adirondack Mtns
3^{3}·131 Posts 
The last two base 2 table holdouts have been convinced to turn green!

20201112, 17:58  #674 
Oct 2011
2^{2}·5·19 Posts 
Okay, thank you very much Edwin.
The table of base 2 will be all green at the next update... And I love green ! 
20201115, 10:40  #675 
Oct 2011
101111100_{2} Posts 
Page updated.
Many thanks to all for your help ! The next update will take place in 2 or 3 weeks, depending on the number of requests that will be posted here. Because now, the calculations will progress more slowly, since the sequences have all arrived at large terms. 
20201122, 05:22  #676 
"Curtis"
Feb 2005
Riverside, CA
1000111111111_{2} Posts 
How unusual is it to break 2^4 * 31? I don't think I've done it before tonight.
Edit: The sequence went 2^4 * 3 * 31 to 2^4 * 3 * 31^2 to 2^6 * 3 * 31, and picked up the downdriver a few terms later. Last fiddled with by VBCurtis on 20201122 at 05:24 
20201122, 08:46  #677 
Oct 2011
2^{2}×5×19 Posts 
Please, which sequence ?

20201122, 16:59  #678 
"Curtis"
Feb 2005
Riverside, CA
17·271 Posts 
13^64. It got down under 50 digits, but picked up 2 * 3 so it's back above 110 dig now.
13^58, 60, 62 can be updated on your page also. 
20201122, 17:20  #679  
"Ed Hall"
Dec 2009
Adirondack Mtns
3^{3}·131 Posts 
Quote:
For 957 sequences that contain at least one 2^{n} * 31 run, no matter the length, 74 of these sequences still have 2^{n} * 31 within their last term, which leaves 883 which have broken it. I used values of 4 through 16 for n and this power may have changed within the run. I did not look for exponents for 31. If a sequence had more than one run of 2^{n} * 31, only one was counted. 

20201122, 18:18  #680 
"Curtis"
Feb 2005
Riverside, CA
17×271 Posts 
That's not unusual, at all! I guess I just don't encounter 2^4 * 31 often enough to pay attention. I appreciate the data!

20201122, 19:01  #681 
Oct 2011
17C_{16} Posts 

20201123, 22:05  #682  
"Ed Hall"
Dec 2009
Adirondack Mtns
3537_{10} Posts 
Quote:
Example for 10^27 (first column is index number): Code:
52 = 2^7 * 31 * 37 . . . 170 = 2^5 * 3^2 * 31 * 41 . . . 687 = 2^6 * 3 * 31^2 * 59 . . . 754 = 2^4 * 7 * 31 * 223 . . . 755 = 2^4 * 7 * 31 * . . . . . . (2^4 continues for all these lines) 1081 = 2^4 * 3 * 13 * 31 * 2207 . . . 1082 = 2^4 * 3 * 5 * 31 * 47681 . . . Another example 10^111: Code:
592 = 2^4 * 31 * 73 . . . 593 = 2^4 * 31 * 1493 . . . . . . 674 = 2^4 * 13 * 31 * 128311 . . . 675 = 2^4 * 5 * 31^2 * 1407503 . . . 676 = 2^4 * 5^2 * 31^2 * 89 . . . 677 = 2^4 * 5^2 * 17 * 31^2 . . . I will do even more study and post something extra later. . . 

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