20091001, 20:37  #1 
Mar 2006
Germany
5361_{8} Posts 
Home Primes, Reloaded
There was a thread here for Home Primes of Base 10 (most popular).
The results are collected at MersenneWiki but those pages are hard to read, especially for other bases. With M.Tervooren's FactoringDatabase it's easy as can be to hold the results (see 'Sequences' and choose the type of sequence). The last days I've compiled Summary pages (like that ones for the Aliquot Sequences) at RieselPrimeDatabase under the new menu 'Interests'. For now i've only done pages for Bases 2, 6 and 10, because they are most primeness or popular. For Base 10 I have to do some more work (sizes only upto n~1300) and including more terminated n's with more data from MersenneWiki. So to all, who will work on these sequences, please feel free to reserve and post your results here. I will update that pages from time to time. I'm just extending the range for Base 6 to about n=10000 and factoring some of the lower Base 2 composites. Happy hunting! 
20091002, 00:15  #3 
Feb 2003
2·3·29 Posts 
Thanks!
I was going to ask about the Home Primes search status once I got my new computer up and running (parts just arrived today). This is perfect timing for me! Now I've already pushed HP9942 a few iterations while typing my reply... Last fiddled with by apocalypse on 20091002 at 00:22 
20091002, 00:35  #4 
Mar 2006
Germany
AF1_{16} Posts 
HP_{10}9942 is already prime (P89) at index 49!
Last fiddled with by kar_bon on 20091002 at 00:36 
20091002, 03:23  #5 
Feb 2003
2×3×29 Posts 
Sorry. I meant 9922.

20091002, 06:19  #6 
Just call me Henry
"David"
Sep 2007
Cambridge (GMT)
3^{2}×17×37 Posts 
have we got everything from mersennewiki in the database?

20091002, 12:43  #7 
Feb 2003
2·3·29 Posts 
I've taken HP_{10}9922 to n=59. I've also taken HP_{10}9900 to n=58.

20091002, 18:43  #8 
"Mark"
Apr 2003
Between here and the
3^{2}×5×127 Posts 
Does anyone have a script that can recursively test a home prime sequence until a prime is found? I could probably write my own, but this would save me the effort.
BTW, found a home prime for 3393. Last fiddled with by rogue on 20091002 at 18:52 
20091002, 19:04  #9 
Nov 2008
2×3^{3}×43 Posts 
I suppose one could hack aliqueit to make it calculate home primes instead of aliquot sequences...

20091002, 19:09  #10  
Account Deleted
"Tim Sorbera"
Aug 2006
San Antonio, TX USA
17×251 Posts 
Quote:
Congrats. 

20091002, 19:36  #11  
"Mark"
Apr 2003
Between here and the
3^{2}·5·127 Posts 
Quote:
I was lucky enough to find a second home prime today, although I don't recall which one it was. This is the first time I've actually used the factor database. I would make a few changes, but other than that, it saves me a bit of work. 

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