20220620, 18:07  #1684 
"Ed Hall"
Dec 2009
Adirondack Mtns
131A_{16} Posts 
Here is a list of all 12 digit primes that appear in more than one sequence (excluding merges) throughout the entire set of tables (as far as I can tell):
Code:
109964639887,193,22,263 109964639887,40,19,182 126249927637,15472,5,113 126249927637,67,75,5 142754777149,101,32,504 142754777149,52,39,640 154198251007,17,76,702 154198251007,22,87,1336 194041181491,439,22,392 194041181491,76,35,2974 220689850709,12496,19,494 220689850709,15,12,3377 389689791443,10,109,4650 389689791443,15,34,1318 392293758937,10,85,807 392293758937,42,23,2984 
20220620, 19:09  #1685  
"Garambois JeanLuc"
Oct 2011
France
2^{2}×5×7^{2} Posts 
Quote:
Quote:
Quote:
Please check if everything is good according to your remarks. Thank you for your ideas. 

20220620, 19:23  #1686 
May 2007
Kansas; USA
2·7·811 Posts 

20220620, 19:37  #1687  
"Garambois JeanLuc"
Oct 2011
France
2^{2}·5·7^{2} Posts 
Quote:
We were already operating on this principle at the beginning of the project. But when we were processing the data, we found it easier to harmonize the largest exponents of each base, because it was easier to remember and it simplified the discussions and even the programs. So we decided to work in "bearings" (I hope I have the good word here !). On the other hand, we can make the jump less brutal, because for base 19, we go up to exponent 140 and for base 20, we go up to exponent 100. In the first instance, we can consider an intermediate bearing and put bases 20 to 40 up to exponent 120 for example. But here we have a big question for all the participants in the project and especially Edwin : Are you willing to do the calculations afterwards ? 

20220620, 19:47  #1688  
"Garambois JeanLuc"
Oct 2011
France
3D4_{16} Posts 
Quote:
I'll be checking very carefully tomorrow night, as the time is moving fast and unfortunately it's already 9:30 at our house. I didn't think there would be so many 12digit couples ! When you say "throughout the entire set of tables", do you mean "throughout the entire set of bases" ? 

20220620, 21:19  #1689  
"Ed Hall"
Dec 2009
Adirondack Mtns
2·3·5·163 Posts 
Quote:
Quote:


20220620, 21:21  #1690 
"Ed Hall"
Dec 2009
Adirondack Mtns
1001100011010_{2} Posts 
As to the project home page, I will echo Gary. I agree, it "Looks great!"

20220620, 22:20  #1691  
May 2007
Kansas; USA
2·7·811 Posts 
Quote:
Bases 20,21: exponent 125 (If we only go to exponent 120, we still miss a few <= 160 digits.) Bases 22,23: exponent 120 Bases 24,26: exponent 115 Bases 28 to 31: exponent 110 Bases 33 to 37: exponent 105 Bases 288, 338, 385, and 392: exponent 65 Bases 1058, 1152, 1155, and 1250: exponent 55 If you feel the jumps are too small, maybe combine into: Bases 20,21 to exponent 125, bases 22 to 26 to exponent 120, and bases 28 to 37 to exponent 110. The larger bases jumps would fit right in with the current smaller jumps on larger bases. I have already initialized all sameparity sequences that begin at <= 160 digits on all of these bases, terminating a few. I have also initialized oppositeparity sequences that begin at <= 160 digits for bases 20 and 21. There are not many iterations that can be added at this point for some of the larger ones on oppositeparity. If you agree we can do this, I will continue initializing all that I can in a coordinated effort with Ed and anyone else who wishes to help. Last fiddled with by gd_barnes on 20220620 at 22:20 

20220621, 19:14  #1692  
"Garambois JeanLuc"
Oct 2011
France
2^{2}·5·7^{2} Posts 
Quote:
Bases 26 to 30 to exponent 120 Bases 31 to 40 to exponent 110 Bases 288, 338, 385, and 392: exponent 65 Bases 1058, 1152, 1155, and 1250: exponent 55 The above extensions seem to me to be a good compromise : I have changed your proposal a bit. I will make these extensions in a few days. Quote:
But what matters is the number of points that we will have in the absolute, that is to say the number of sequences that will end with a prime number, especially if this prime number is <100. Quote:
Last fiddled with by garambois on 20220621 at 19:16 Reason: Addition of forgotten capital letters 

20220621, 20:36  #1693  
May 2007
Kansas; USA
2·7·811 Posts 
Quote:
It won't be watered down too much if we get them mostly initialized by the end of June, which I plan to do. Bases 20, 21, and 22 are now initialized for all parity exponents <= 160 digits. Bases >= 23 are all initialized for sameparity exponents <= 160 digits. I will continue working my way up for oppositeparity exponents for bases >= 23 and keep you posted. Last fiddled with by gd_barnes on 20220621 at 20:39 

20220621, 22:16  #1694 
Sep 2008
Kansas
3×5^{2}×7^{2} Posts 
Base 223 can be added to the table at the next update.

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Broken aliquot sequences  fivemack  FactorDB  46  20210221 10:46 
Broken aliquot sequences  schickel  FactorDB  18  20130612 16:09 
A new theorem about aliquot sequences  garambois  Aliquot Sequences  34  20120610 21:53 
poaching aliquot sequences...  Andi47  FactorDB  21  20111229 21:11 
New article on aliquot sequences  schickel  mersennewiki  0  20081230 07:07 