[URL="http://www.factordb.com/sequences.php?se=1&eff=2&aq=590556++&action=last&fr=0&to=100"]590556[/URL] ends with 59

A banner week for terminations! 858180 ends with 59 at term 4843, from a max height of 113 digits.

142764 terminates at term 2822, from a max height of 113 digits.

[QUOTE=bchaffin;278135]142764 terminates at term 2822, from a max height of 113 digits.[/QUOTE]Nice catch!

From the workers or were you working this one specifically?

[QUOTE=schickel;278140]Nice catch!

From the workers or were you working this one specifically?[/QUOTE]

Thanks! That was the workers, my other machines have been cranking along on 'lose the 3' sequences.

[QUOTE=bchaffin;278161]Thanks! That was the workers, my other machines have been cranking along on 'lose the 3' sequences.[/QUOTE]Very nicely done. It's been over a month since our last termination. Great work on the workers, too. It's nice that everything gets a little :love:, even those we're not working on.....

[QUOTE=schickel;278211]Very nicely done. It's been over a month since our last termination. Great work on the workers, too. It's nice that everything gets a little :love:, even those we're not working on.....[/QUOTE]
Congratulations. It's a really great work.
Wolfgang

Thanks Frank and Wolfgang. The workers were a fun project, and now aside from tinkering with them occasionally they just plod along on their own. 414000 factorizations and counting...

Good things seem to come in pairs these days: 594228.1649 merges with 38208.3, after reaching two peaks of 110 digits.

[QUOTE=bchaffin;278387]
Good things seem to come in pairs these days: 594228.1649 merges with 38208.3, after reaching two peaks of 110 digits.[/QUOTE]

I don't quite really get that. How exactly is defined this "merges" and how you can detect it? From what I can see, the sequence started from 6 digits, but goes as low as 6 and 5 digits, so in that point the computing should end. Whatever factors have further, it would be already computed from the lower (5 digits) sequence. Am I missing something?

For example:

[CODE]
Checked 1642 7 (show) 1129510 = 2 . 5 . 112951
Checked 1643 6 (show) 903626 = 2 . 193 . 2341
Checked 1644 6 (show) 459418 = 2 . 29 . 89^2
Checked 1645 6 (show) 261572 = 2^2 . 65393
Checked 1646 6 (show) 196186 = 2 . 233 . 421
Checked 1647 6 (show) 100058 = 2 . 7^2 . 1021
Checked 1648 5 (show) 74704 = 2^4 . 7 . 23 . 29
Checked 1649 6 (show) 103856 = 2^4 . 6491
Checked 1650 5 (show) 97396 = 2^2 . 13 . 1873
Checked 1651 5 (show) 86256 = 2^4 . 3^2 . 599
Checked 1652 6 (show) 155544 = 2^3 . 3 . 6481
Checked 1653 6 (show) 233376 = 2^5 . 3 . 11 . 13 . 17
Checked 1654 6 (show) 528672 = 2^5 . 3 . 5507
Checked 1655 6 (show) 859344 = 2^4 . 3 . 17903
Checked 1656 7 (show) 1360752 = 2^4 . 3 . 28349
Checked 1657 7 (show) 2154648 = 2^3 . 3 . 17 . 5281
[/CODE]Starting from T1644 to T1654, all the terms are smaller then 594228. The smallest is T1648=74704. They all "merge". We should only continue with that sequence (or with any other of them, dosn't really matter) and all the other, including T1643, T1654, T1655 (which are under a million) are in fact "done" for this project (of factoring aliquots with starting point under a million). What I am missing?

[QUOTE=bchaffin;278387]Thanks Frank and Wolfgang. The workers were a fun project, and now aside from tinkering with them occasionally they just plod along on their own. 414000 factorizations and counting...

Good things seem to come in pairs these days: 594228.1649 merges with 38208.3, after reaching two peaks of 110 digits.[/QUOTE]Nice one!

[QUOTE=schickel;278448]Nice one![/QUOTE]
Well done!
[FONT=Arial]594228:i1649 = 38208:i3 = 103856[/FONT]
[FONT=Arial][/FONT]
A so called side-sequence is an aliquot sequence with a confluence or merge. The main sequence has a smaller start number.
Maybe it's not an exact definition, but it's practicable.
Wolfgang