Finessing the Aliquot reservation page to sequences above 1 million

[ChristianB]

Originally Posted by ugly2dog

I have almost all the data in the 1e6-5e6 range stored locally. I will need to download a bunch of the sequences under 1e6 that I didn't have back-ups of, since these are already indexed, it won't be that much of a load on the FDB. I also spread my work out over several weeks to minimize the load.
There won't be much duplication in work at all, if any.

We are already seeing merges with your list. You might want to monitor the "Sequence terminations and merges" thread. We'll try to post mergers once a day when we delete them from the list.

[yoyo]

The list up to 2e6 is now complete loaded into the reservation page and all sequences are also created in FDB.
As next step we feed our by double check found list and check for merges.

[ChristianB]

Thanks to a software update from Dubslow we are now more easily able to add new sequences and better check for mergers (and delete merges immediately). Thus I started the mentioned double check of u2d's list for 1e6 aliquot sequences.

The first finding is 1010274 which seems to merge with an earlier sequence but we can't tell which one at the moment. This will sort itself out over time once the smaller sequences are up to date again.

[science_man_88]

I'll just point out, for the sake of saying something, that these are the obvious pairs ((p+1,p^2) where p is prime):

1010,1018081
1014,1026169
1020,1038361
1022,1042441
1032,1062961
1034,1067089
1040,1079521
1050,1100401
1052,1104601
1062,1125721
1064,1129969
1070,1142761
1088,1181569
1092,1190281
1094,1194649
1098,1203409
1104,1216609
1110,1229881
1118,1247689
1124,1261129
1130,1274641
1152,1324801
1154,1329409
1164,1352569
1172,1371241
1182,1394761
1188,1408969
1194,1423249
1202,1442401
1214,1471369
1218,1481089
1224,1495729
1230,1510441
1232,1515361
1238,1530169
1250,1560001
1260,1585081
1278,1630729
1280,1635841
1284,1646089
1290,1661521
1292,1666681
1298,1682209
1302,1692601
1304,1697809
1308,1708249
1320,1739761
1322,1745041
1328,1760929
1362,1852321
1368,1868689
1374,1885129
1382,1907161
1400,1957201
1410,1985281

[unconnected]

Is it possible to add extra checkbox 'Exclude sequences above 1e6' on https://www.rechenkraft.net/aliquot/AllSeq.html page? Thank you in advance.

[ChristianB]

Originally Posted by unconnected

Is it possible to add extra checkbox 'Exclude sequences above 1e6' on https://www.rechenkraft.net/aliquot/AllSeq.html page? Thank you in advance.

I added one but I'm not sure I did it right. I'll leave it to Dubslow to make a final one.

[science_man_88]

I'm guessing the list is checked against numbers that show up in other sequences already ?

[yoyo]

Originally Posted by unconnected

Is it possible to add extra checkbox 'Exclude sequences above 1e6' on https://www.rechenkraft.net/aliquot/AllSeq.html page? Thank you in advance.

There is a min/max range filter. Set max to 1000000 and you see all which are below 1e6.

[Dubslow]

Originally Posted by ChristianB

I added one but I'm not sure I did it right. I'll leave it to Dubslow to make a final one.

Although your commit looks reasonable, per yoyo's post it should not be necessary in the first place. It is already possible to filter the sequences by giving a range of allowed values, such as for instance a maximum of 1e6 (or any other range you want).

[Batalov]

1526586 merges with 1514622
1544394 merges with 780906
1585992 merges with 289848
1557786 merges with 664410
1552182 merges with 302226
1523886 merges with 26340
Remove them

As a general rule, don't even insert into the web table the values that merge into another, lesser sequence within 10-20 iterations. This is extremely easy to calculate in gp.

Don't stress both the AllSeq page and FactorDB with these useless queries.

[science_man_88]

Originally Posted by Batalov

As a general rule, don't even insert into the web table the values that merge into another, lesser sequence within 10-20 iterations. This is extremely easy to calculate in gp.

so are the ones starting under 1 million that move to above 1 million there are 62105 such sequences in the first step. 60004 of which stay under 2 million within that step.