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 with statistics (out of date, updating needs too much FactorDB accesses)  Home Prime Base 2: 7 open seqs.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)  [url=http://oeis.org/A000945]EuclidMullin Sequence[/url] up to index=51 (with C335)  [url=http://www1.unihamburg.de/RRZ/W.Keller/GFNsmall.html]Generalized Fermat numbers[/url]  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 [url=http://www.noprimeleftbehind.net/crus/tab/CRUS_tab.htm]here[/url]) 
Inverse Home Prime Base 8
I've included a page for [url=http://www.rieselprime.de/Others/InverseHomePrime8.htm]Inverse Home Prime Base 8[/url] 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[sub]8[/sub](9737):i79 = P115  IHP[sub]8[/sub](1701):i65 = P114  IHP[sub]8[/sub](9865):i80 = P118 IHP[sub]8[/sub](9759):i82 = P132  IHP[sub]8[/sub](1779):i77 = P119  IHP[sub]8[/sub](2895):i76 = P122 IHP[sub]8[/sub](4615):i75 = P127  IHP[sub]8[/sub](1815):i95 = P151  IHP[sub]8[/sub](4895):i80 = P129 IHP[sub]8[/sub](5731):i66 = P111  IHP[sub]8[/sub](9333):i71 = P113 K.Bonath 
Home Prime Base 3
A new page for [url=http://www.rieselprime.de/Others/HomePrime3.htm]Home Prime Base 3[/url] 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 [url=http://factordb.com/sequences.php?se=3&aq=64&action=range&fr=135&to=135]C150 at index 135[/url] decomposed into P57*P93. Please note: The given values for n=64 and 81 at [url=http://www.mersennewiki.org/index.php/Base_3_Home_Prime_Results]MersenneWiki[/url] are out of date now. Further efforts will be posted in here. New terminations found since then: HP3(581):i118 = P128 
Home Prime Base 4
[url=http://www.rieselprime.de/Others/HomePrime4.htm]Home Prime Base 4[/url] is online, too.
There're 14 startvalues <= 1000 without termination. Further efforts are shown in this post. 
Home Prime Base 5
[url=http://www.rieselprime.de/Others/HomePrime5.htm]Home Prime Base 5[/url] is online.
There're 134 startvalues <= 1000 without termination. Further efforts are shown in this post. HP5(775):i88 = P134 
Home Prime Base 6
[url=http://www.rieselprime.de/Others/HomePrime6.htm]Home Prime Base 6[/url] is online.
There're 58 startvalues <= 10000 without termination. Further efforts are shown in this post. 
Home Prime Base 7
[url=http://www.rieselprime.de/Others/HomePrime7.htm]Home Prime Base 7[/url] is online.
There're 186 startvalues <= 1000 without termination. Further efforts are shown in this post. HP7(933):i65 = P139 HP7(542):i58 = P125 
Home Prime Base 8
[url=http://www.rieselprime.de/Others/HomePrime8.htm]Home Prime Base 8[/url] is online.
There're 38 startvalues <= 1000 without termination. Further efforts are shown in this post. 
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.

[QUOTE=Stargate38;304171]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.[/quote]
I know that: see the headline of the page for IHP8. [QUOTE=Stargate38;304171]Same thing goes with multiples of 5 for bases 5, 10, 15, 20, etc.[/QUOTE] Not correct, counterexamples: [url=http://factordb.com/sequences.php?se=5&aq=45&action=all]HP5 (45)[/url] = P4 = 3313 [url=http://factordb.com/sequences.php?se=15&aq=45&action=all]IHP5 (45)[/url] = P12 = 681053105807 
Oh. I didn't go deep enough. I'm doing IHP5(55) because it wasn't in the DB.

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