533532: i=1065, size 131, 2^5*7 guide
C128 have ECM'ed to t35

I am now done with 282276. Status:

282276; i=4588; sz 116; C109; +3679; 2^5*3^3*5

This is the other sequence mentioned by Karsten in the "a little request" thread. It had presumably been already searched to i=4556 by Bosma but was only at i=909 in the DB.

It is also the one that had an error in the DB. That error has now been corrected.

I am now done with 15390 and 18102. Statuses:

15390; i=526; sz 109; C108; +61; 2^2*3

18102; i=1024; sz 103; C101; +17; 2*3^2

Extremely boring sequences.

I am now done with 244140 only a day after I reserved it since it was already at a size of 109 before starting. Status:

244140; i=5068; sz 112; C105; +13; 2^4*7

The current index has factors of 2^4*7^2 but I only consider the sequence having particular small factors if it has had them for at least the last 3 indexes. I'm not sure what others think of that.

244140 is currently the 21st longest in the DB. There is only one longer sequence that has a C<100. That is 236754 at i=5660 and C99. I think David (henryzz) is still working on that one. The 2nd longest one is 76686 at i=5047 and C90. I think I'll reserve that one in the reservations thread.

I am now done with 105096. Status:

105096; i=797; sz 107; C102; +30; 2^4*5

After dropping the factor of 3 11 indexes ago, this one has a reasonable guide and might be an interesting one for someone to pick up. The factor of 5 is nothing; only occurring sporadically. One interesting side note: It had a 2^14 factor 9 indexes ago! :-O

[quote=gd_barnes;192316]244140 is currently the 21st longest in the DB. There is only one longer sequence that has a C<100. That is 236754 at i=5660 and C99. I think David (henryzz) is still working on that one. The 2nd longest one is 76686 at i=5047 and C90. I think I'll reserve that one in the reservations thread.[/quote]
236754 has put on a few iterations since then
it is now at i=5741 and C123 with 2^2*7 as driver
it beats the sequence that is currently 9th on kar_bon's records page

I am now done with 584832. Status:

584832; i=4154; sz 110; C103; +35; 2^4*3*31

[quote=henryzz;192368]236754 has put on a few iterations since then
it is now at i=5741 and C123 with 2^2*7 as driver
it beats the sequence that is currently 9th on kar_bon's records page[/quote]

According to the DB listing [URL="http://factorization.ath.cx/search.php?so=1&se=1&2=1&1=1&5=1&3=1&start=2&limit=100&len=1"]here[/URL], it is 13th longest.

[quote=gd_barnes;192326]One interesting side note: It had a 2^14 factor 9 indexes ago! :-O[/quote]
238650 has 2^20 in iteration 235.

[URL="http://factordb.com/search.php?se=1&aq=909192"]909192[/URL] index 1288 has 2^23
[URL="http://factordb.com/search.php?se=1&aq=182172"]182172[/URL] index 156 has 2^22

[quote=Batalov;192392]238650 has 2^20 in iteration 235.

[URL="http://factordb.com/search.php?se=1&aq=909192"]909192[/URL] index 1288 has 2^23
[URL="http://factordb.com/search.php?se=1&aq=182172"]182172[/URL] index 156 has 2^22[/quote]

Yeah, I knew from previously looking at the "odds and ends and class records" thread that there were plenty of them higher than mine but I thought it was interesting that I encountered such a high one in the 30 indexes that I searched.

I am now done with 76686. Status:

76686; i=5082; sz 114; C107; +35; 2^3*3*5

Up up and away!

All sequences at i>=5000 are now at C>=100. :smile: