20100603, 21:01  #1 
Mar 2006
Germany
2×1,427 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 with statistics (out of date, updating needs too much FactorDB accesses)  Home Prime Base 2: 7 open seqs.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
101100100110_{2} 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
2×1,427 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 Please note: The given values for n=64 and 81 at MersenneWiki are out of date now.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
2·1,427 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
2×1,427 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
2·1,427 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
2×1,427 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
101100100110_{2} 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
265_{16} 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
2854_{10} 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
1145_{8} Posts 
Oh. I didn't go deep enough. I'm doing IHP5(55) because it wasn't in the DB.
