[QUOTE=mnh001;259774]Here's a bit of work for HP(7119). I'm not sure what you folks do with the results so I'll just post them here for now.[/quote]

I've inserted the new factors [url=http://factordb.com/sequences.php?se=10&eff=2&aq=7119&action=last20&fr=0&to=0]here[/url].

If you found new ones, please do so, too.

If you're not aware of it, a list of more (n < 10000 and special ones) can be found on my pages [url=http://www.rieselprime.de/]here[/url] but not yet updated for some time.

Ok, got it. Thanks.

I've brought HP(7119) up to n=74:

[code]
n=74
33713414721793067124819186947118508936258339240943589879400051872012747583269834514687573784139295791208356899020671324704390922188389228534993319915283666680243 =

89 x C(158)

C(158)=37880241260441648454853019041706189816020665628579661566292717663064579587301511400983975102688716755150077517086194659599898002116732904887565392306558052587(C158)

[/code]

It's already in the database. I don't think I'll take it any further for now since it will take up too much time.

I'm working on HP(6516) at the moment.

I moved HP(11500) forward a few steps. Index 62 now has a c100. I will not be finishing that.

I also ran a t30 on c158 of HP(7119), index 74.

It appears the database is all messed up. It's not forming new numbers the way it should. Yesterday hp7119 was stalled on index 74 with a 158 digit composite. Today it's a prime at index 2. Something bad happened overnight.

False alarm. I didn't realize that I must have reloaded the page and it reset the sequence from Home prime base 10 to Aliquot, making it look totally wrong. Oops! :redface:

Progress with the following HP[SUB]10[/SUB], among others:

1519
4172
4852
4927
5632
5708
6227
6812
9339
9595

Many sequences are still very easy to move forward. p25s were plentiful in my latest batch.

Like [URL="http://factordb.com/index.php?query=672495792173488872976232859159257739124764700237841311380753993051568912012143588804543140398437170940338399021383765733033931428672771"]this one[/URL]. Found by P+1. c111 remaining.

p+1 = ... 10267 * 6603526771

[QUOTE=lorgix;263421]Like [URL="http://factordb.com/index.php?query=672495792173488872976232859159257739124764700237841311380753993051568912012143588804543140398437170940338399021383765733033931428672771"]this one[/URL]. Found by P+1. c111 remaining.[/QUOTE]

c111 = 25244918681352183657769321986913 * p79

(ECM Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3611249955.)

More progress with HP[SUB]10[/SUB] , (I did not move all of these forward, I left some composite cofactors)

1552
2637
4224
4559
6175
6444
6944
7096
8114
8624
9048

[URL="http://factordb.com/index.php?query=2148740871935112577255771758260150568031152736585899481928459846473613598858087983779957951390419640247127264561696493"]P-1 found p37 from HP10(2637, 67)[/URL], cofactor was p82.

[URL="http://factordb.com/index.php?query=7005603201175254289559603374155129737504672044326177203204690290559521685816025887196708455243536453473268801491187"]P-1 found p35 from HP[SUB]10[/SUB](6175, 72)[/URL], I completed the remaining c81 with SIQS.


Here are some of the smallest composites at present:

[CODE]1519 c100
6444 c100
8398 c101
9025 c102
4172 c103
6227 c103
6811 c103
3332 c104
5856 c104
5416 c105
9339 c105
5800 c106
8324 c107
5882 c108
1408 c109
5370 c111
2558 c112
3489 c112
4122 c112
4580 c112
4836 c112
4927 c112
5090 c112
5377 c112
5708 c112
6084 c112
6100 c112
6467 c112
7017 c112
7056 c112
8375 c112
8736 c112
8940 c112
9273 c112
9983 c112[/CODE]I think the smallest index not completed is 57 (for HP10(n), n=<10000);

HP10(3168, 57)= ..c120
HP10(3270, 57)= ..c119
HP10(3936, 57)= ..c115
HP10(6467, 57)= ..c112
HP10(7648, 57)= ..c124
HP10(7832, 57)= ..c117
HP10(8255, 57)= ..c117

edit: just found a weird p21 causing the appearance of another c100.

p21= 169479315508259240503
[ [B]<2, 14>[/B], <3, 1>, <7, 1>, <31, 1>, [B]<587549, 1>[/B], <27044047, 1> ]

HP[SUB]10[/SUB](7032, 79)= p160

edit: The only bigger termination I can see is the p196 ending 973.

More progress with HP[SUB]10[/SUB];

[CODE]1298
1519
1757
1956
2114
2594
4172
4188
4205
4301
5160
5194
5416
5632
5800
5916
6366
7032 - teminated
7194
7203
7628
8222
8255
8382
8710
8960
9080
9487
9603
9998[/CODE]Karsten, are you planning on updating your HP[SUB]10[/SUB] table any time soon?

Maybe you want to add these two to HP[SUB]2[/SUB];

HP[SUB]2[/SUB](10471, 211)= p132
HP[SUB]2[/SUB](10503, 218)= ..c136

I checked my results from the past few days, and it turns out that I have extended 48 HP[SUB]10[/SUB] sequences in the last week. But none of them were in between 2637 & 4172, a range with ~90 composites. Out of ~540 total. Oh, and the smallest was 1298.

So if you want a challenge; you might wanna concentrate on n<1298 or 2637<n<4172.