20100603, 21:01  #1 
Mar 2006
Germany
2,879 Posts 
Other interests
Here you can post stuff regarding to other interests I display on my pages.
So far there're information of  Aliquot sequences for n<1000000: all open seqs. with statistics (out of date, updating needs too much FactorDB accesses)  Home Prime Base 2: 7 open seqs. for n<10000 (listed up to n=12000)  Home Prime Base 3: 31 open seqs. for n<1000 (current status see post#3)  Home Prime Base 4: 17 open seqs. for n<1000 (current status see post#4)  Home Prime Base 5: 134 open seqs. for n<=1000 (current status see post#5)  Home Prime Base 6: 58 open seqs. for n<10000 (current status see post#6)  Home Prime Base 7: 186 open seqs. for n<1000 (current status see post#7)  Home Prime Base 8: 38 open seqs. for n<1000 (current status see post#8)  Home Prime Base 10: 537 open seqs. for n<10000 (listed up to n=11500 plus special forms like powers of 2/3/10, ...)  Inverse Home Prime Base 8: for n<10000 (current status see post#2)  EuclidMullin Sequence up to index=51 (with C335)  Generalized Fermat numbers  Primes of the form k*b^b+1, k<=10000, b<=1000  Primes of the form k*b^b1, k<=10000, b<=1000  Factorizations of Smarandachetype numbers  Smallest primes/semiprimes for 10^n up to n=150  CRUS condensed table (a daily update can be found here) Last fiddled with by kar_bon on 20130109 at 13:12 Reason: HP7(542) terminated 
20120423, 23:35  #2 
Mar 2006
Germany
2,879 Posts 
Inverse Home Prime Base 8
I've included a page for Inverse Home Prime Base 8 with all open sequences for n<=10000 (terminations with 70+ digits are given).
So far 170 sequences are not terminated. New terminations found since then: IHP_{8}(9737):i79 = P115  IHP_{8}(1701):i65 = P114  IHP_{8}(9865):i80 = P118 IHP_{8}(9759):i82 = P132  IHP_{8}(1779):i77 = P119  IHP_{8}(2895):i76 = P122 IHP_{8}(4615):i75 = P127  IHP_{8}(1815):i95 = P151  IHP_{8}(4895):i80 = P129 IHP_{8}(5731):i66 = P111  IHP_{8}(9333):i71 = P113 K.Bonath Last fiddled with by kar_bon on 20120706 at 18:55 Reason: link added 
20120630, 07:01  #3 
Mar 2006
Germany
5477_{8} Posts 
Home Prime Base 3
A new page for Home Prime Base 3 is online now.
So far 31 startvalues <= 1000 are without termination. All terminations with >=70 digits are given. I've also extended the seq. for n=64: A C150 at index 135 decomposed into P57*P93. Please note: The given values for n=64 and 81 at MersenneWiki are out of date now. Further efforts will be posted in here. New terminations found since then: HP3(581):i118 = P128 Last fiddled with by kar_bon on 20121031 at 12:33 Reason: HP3(581) terminates 
20120703, 16:38  #4 
Mar 2006
Germany
2,879 Posts 
Home Prime Base 4
Home Prime Base 4 is online, too.
There're 14 startvalues <= 1000 without termination. Further efforts are shown in this post. Last fiddled with by kar_bon on 20121031 at 12:32 
20120703, 16:38  #5 
Mar 2006
Germany
2,879 Posts 
Home Prime Base 5
Home Prime Base 5 is online.
There're 134 startvalues <= 1000 without termination. Further efforts are shown in this post. HP5(775):i88 = P134 Last fiddled with by kar_bon on 20120808 at 11:21 Reason: HP5(775) terminated 
20120703, 16:38  #6 
Mar 2006
Germany
2,879 Posts 
Home Prime Base 6
Home Prime Base 6 is online.
There're 58 startvalues <= 10000 without termination. Further efforts are shown in this post. Last fiddled with by kar_bon on 20121031 at 12:32 Reason: added post 
20120703, 16:38  #7 
Mar 2006
Germany
5477_{8} Posts 
Home Prime Base 7
Home Prime Base 7 is online.
There're 186 startvalues <= 1000 without termination. Further efforts are shown in this post. HP7(933):i65 = P139 HP7(542):i58 = P125 Last fiddled with by kar_bon on 20130109 at 13:11 Reason: n=542 terminates 
20120703, 16:38  #8 
Mar 2006
Germany
2,879 Posts 
Home Prime Base 8
Home Prime Base 8 is online.
There're 38 startvalues <= 1000 without termination. Further efforts are shown in this post. Last fiddled with by kar_bon on 20121031 at 12:32 
20120706, 13:15  #9 
"Daniel Jackson"
May 2011
14285714285714285714
3·5·43 Posts 
For Inverse Home Primes (bases 2, 4, 6, 8, etc.), the starting number can't be even because the whole sequence would be divisible by 2 and therefore composite. Same thing goes with multiples of 5 for bases 5, 10, 15, 20, etc.

20120706, 19:03  #10  
Mar 2006
Germany
2,879 Posts 
Quote:
Quote:
HP5 (45) = P4 = 3313 IHP5 (45) = P12 = 681053105807 Last fiddled with by kar_bon on 20120706 at 19:10 Reason: links added 

20120708, 00:58  #11 
"Daniel Jackson"
May 2011
14285714285714285714
3·5·43 Posts 
Oh. I didn't go deep enough. I'm doing IHP5(55) because it wasn't in the DB.
