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-   -   Subproject #11: 2^2 * 3 - Lose the '3' (https://www.mersenneforum.org/showthread.php?t=16075)

schickel 2011-09-22 10:47

Subproject #11: 2^2 * 3 - Lose the '3'
 
This is a project suggested by 10metreh. He hopes we can achieve some terminations with this project.

The hope is that a sequence that currently has 2^2 * 3 as a guide will lose the 3, if the remaining composite factors "properly".

I pulled a status on these sequences right before posting but, as always, check the status of a sequence in the DB before starting any significant work....

[Note: Due to the sheer number of sequences that are currently 2^2 * 3, this message has been split....]

Sequences:[code]894702 1071. sz 112 2^2 * 3 * 11
668922 1469. sz 112 2^2 * 3 * 5
800010 1351. sz 112 2^2 * 3 * 5
596808 1007. sz 112 2^2 * 3 * 5
867228 1034. sz 112 2^2 * 3^2
638680 833. sz 112 2^2 * 3^2
738240 1698. sz 112 2^2 * 3^2 * 17
844758 1712. sz 112 2^2 * 3^2 * 5
630024 2457. sz 112 2^2 * 3^2 * 7 * 89459 * 138072719
293136 989. sz 113 2^2 * 3
369978 1188. sz 113 2^2 * 3
642000 1705. sz 113 2^2 * 3 * 1669
526752 618. sz 113 2^2 * 3 * 17
244872 844. sz 113 2^2 * 3 * 2437094789966273
966180 1880. sz 113 2^2 * 3 * 29
832314 2263. sz 113 2^2 * 3 * 5
932070 1072. sz 113 2^2 * 3 * 5
872784 1104. sz 113 2^2 * 3 * 5 * 11
746880 538. sz 113 2^2 * 3 * 5 * 11
734088 1169. sz 113 2^2 * 3 * 5^2
823116 1414. sz 113 2^2 * 3 * 53
665478 757. sz 113 2^2 * 3 * 577
592506 1114. sz 113 2^2 * 3 * 79
836694 894. sz 113 2^2 * 3^2 * 29
992970 999. sz 113 2^2 * 3^2 * 37
681500 1255. sz 113 2^2 * 3^2 * 5
704850 1590. sz 113 2^2 * 3^2 * 71
227200 781. sz 113 2^2 * 3^3
682380 1726. sz 113 2^2 * 3^3
777762 1384. sz 113 2^2 * 3^3
493992 1754. sz 113 2^2 * 3^3 * 5
385176 1097. sz 113 2^2 * 3^3 * 5
968484 970. sz 114 2^2 * 3
962232 828. sz 114 2^2 * 3
933240 1082. sz 114 2^2 * 3
891702 1122. sz 114 2^2 * 3
769068 1128. sz 114 2^2 * 3
601824 2081. sz 114 2^2 * 3
533160 1064. sz 114 2^2 * 3
564870 772. sz 114 2^2 * 3
239778 1486. sz 114 2^2 * 3
358506 1062. sz 114 2^2 * 3
656616 2093. sz 114 2^2 * 3 * 1097
106080 873. sz 114 2^2 * 3 * 137
559548 1250. sz 114 2^2 * 3 * 17 * 75883
699588 1280. sz 114 2^2 * 3 * 181
517392 878. sz 114 2^2 * 3 * 1823
323964 1940. sz 114 2^2 * 3 * 19
377160 1123. sz 114 2^2 * 3 * 281
946728 1014. sz 114 2^2 * 3 * 29
515220 1546. sz 114 2^2 * 3 * 317
712824 899. sz 114 2^2 * 3 * 3313
596032 546. sz 114 2^2 * 3 * 467 * 3582899
202776 1403. sz 114 2^2 * 3 * 47
384606 2109. sz 114 2^2 * 3 * 5
803616 1068. sz 114 2^2 * 3 * 5 * 103
425052 1059. sz 114 2^2 * 3 * 5 * 11
865032 1739. sz 114 2^2 * 3 * 5 * 13 * 37
870072 1052. sz 114 2^2 * 3 * 5 * 173 * 203989
871470 904. sz 114 2^2 * 3 * 5 * 19
863370 494. sz 114 2^2 * 3 * 5 * 383 * 9293 * 48673
429072 1087. sz 114 2^2 * 3 * 5^2 * 11
357408 1233. sz 114 2^2 * 3 * 5^3
960900 1599. sz 114 2^2 * 3 * 53
450570 2498. sz 114 2^2 * 3 * 543734960947
380610 2199. sz 114 2^2 * 3 * 607
636024 965. sz 114 2^2 * 3 * 71
556920 1027. sz 114 2^2 * 3 * 727
666384 978. sz 114 2^2 * 3^2
573648 530. sz 114 2^2 * 3^2
993438 510. sz 114 2^2 * 3^2 * 11 * 13
652296 1544. sz 114 2^2 * 3^2 * 11 * 19
940224 1739. sz 114 2^2 * 3^2 * 479
967024 1144. sz 114 2^2 * 3^2 * 5 * 17
779892 779. sz 114 2^2 * 3^3
933870 685. sz 114 2^2 * 3^3
442344 1132. sz 114 2^2 * 3^3
856548 1112. sz 114 2^2 * 3^3 * 11 * 37
582144 1095. sz 114 2^2 * 3^3 * 37
922158 1305. sz 115 2^2 * 3
862866 646. sz 115 2^2 * 3
274272 985. sz 115 2^2 * 3 * 283
894066 1194. sz 115 2^2 * 3 * 31 * 24373
192360 963. sz 115 2^2 * 3 * 37 * 53^2
680544 1275. sz 115 2^2 * 3 * 373
788106 1476. sz 115 2^2 * 3 * 439
377688 2005. sz 115 2^2 * 3 * 5
641520 934. sz 115 2^2 * 3 * 5 * 617
915384 1102. sz 115 2^2 * 3 * 79
216390 920. sz 115 2^2 * 3^2
269208 1199. sz 115 2^2 * 3^4 * 43
303756 2519. sz 116 2^2 * 3
749832 680. sz 116 2^2 * 3
865164 1065. sz 116 2^2 * 3
844536 1279. sz 116 2^2 * 3
687336 1137. sz 116 2^2 * 3
487656 2478. sz 116 2^2 * 3
475668 907. sz 116 2^2 * 3 * 11 * 1637
126756 1184. sz 116 2^2 * 3 * 11 * 433
287304 1485. sz 116 2^2 * 3 * 127
214728 1292. sz 116 2^2 * 3 * 13
394680 2382. sz 116 2^2 * 3 * 149 * 8712059
941850 2111. sz 116 2^2 * 3 * 17
270504 1912. sz 116 2^2 * 3 * 173
466656 799. sz 116 2^2 * 3 * 19 * 89
983328 1614. sz 116 2^2 * 3 * 239
492688 2368. sz 116 2^2 * 3 * 2591
333300 1237. sz 116 2^2 * 3 * 38923
863640 1048. sz 116 2^2 * 3 * 3943
929880 1075. sz 116 2^2 * 3 * 41
215088 912. sz 116 2^2 * 3 * 4421
950280 1250. sz 116 2^2 * 3 * 5
624798 1728. sz 116 2^2 * 3 * 5
746564 871. sz 116 2^2 * 3 * 5
478440 978. sz 116 2^2 * 3 * 5 * 47
443370 1530. sz 116 2^2 * 3 * 5 * 97 * 197
448476 851. sz 116 2^2 * 3 * 5^2 * 25121
376992 672. sz 116 2^2 * 3 * 59
758322 2239. sz 116 2^2 * 3 * 59 * 271
840012 1918. sz 116 2^2 * 3 * 709
426072 2703. sz 116 2^2 * 3 * 73 * 1151
324072 1027. sz 116 2^2 * 3^2
664356 2924. sz 116 2^2 * 3^2
407736 586. sz 116 2^2 * 3^2
180108 751. sz 116 2^2 * 3^2
103782 851. sz 116 2^2 * 3^2 * 11
850164 2307. sz 116 2^2 * 3^2 * 11 * 1289
967680 2008. sz 116 2^2 * 3^2 * 1571
582750 1396. sz 116 2^2 * 3^2 * 17 * 19
346200 1908. sz 116 2^2 * 3^2 * 17 * 29
421428 951. sz 116 2^2 * 3^2 * 2617
143676 1430. sz 116 2^2 * 3^2 * 283
296904 902. sz 116 2^2 * 3^2 * 37
183042 758. sz 116 2^2 * 3^2 * 467
649944 1514. sz 116 2^2 * 3^2 * 5
674912 407. sz 116 2^2 * 3^2 * 5
561000 2208. sz 116 2^2 * 3^2 * 5 * 13
190620 1468. sz 116 2^2 * 3^2 * 5^3 * 3408058099731294299
918054 835. sz 116 2^2 * 3^2 * 61
778300 1004. sz 116 2^2 * 3^2 * 991
338250 2866. sz 116 2^2 * 3^3
171462 1162. sz 116 2^2 * 3^3 * 115133
652386 1993. sz 116 2^2 * 3^3 * 13
971280 1235. sz 116 2^2 * 3^4
760000 832. sz 116 2^2 * 3^4 * 151
722142 1099. sz 116 2^2 * 3^5 * 11
834312 1311. sz 117 2^2 * 3
338040 1463. sz 117 2^2 * 3
711800 1277. sz 117 2^2 * 3 * 1073491
346980 2708. sz 117 2^2 * 3 * 1087
834756 645. sz 117 2^2 * 3 * 11 * 13 * 41
273552 898. sz 117 2^2 * 3 * 19 * 37 * 269
652068 1160. sz 117 2^2 * 3 * 23 * 853
245274 1424. sz 117 2^2 * 3 * 23333
852264 1187. sz 117 2^2 * 3 * 281
435504 702. sz 117 2^2 * 3 * 29 * 443
118230 1680. sz 117 2^2 * 3 * 333271
228228 1231. sz 117 2^2 * 3 * 3347
125016 980. sz 117 2^2 * 3 * 35839
288144 1343. sz 117 2^2 * 3 * 37 * 1393326973 * 13825514861
710610 1215. sz 117 2^2 * 3 * 41
441450 1068. sz 117 2^2 * 3 * 5
[/code][B]Last complete status update: [COLOR=blue]2012-Jun-08[/COLOR][/B]

[SIZE=1]PS. Check below for some discussion about what it takes to lose the 3.[/SIZE]

Mini-Geek 2011-09-22 23:10

[Old message at the bottom...:grin:][code]
112350 2272. sz 117 2^2 * 3 * 5 * 11 * 71
594288 1962. sz 117 2^2 * 3 * 5 * 19 * 23 * 137
408408 576. sz 117 2^2 * 3 * 5 * 20297
997944 2058. sz 117 2^2 * 3 * 5 * 229
799512 421. sz 117 2^2 * 3 * 5 * 59 * 1409
516588 1126. sz 117 2^2 * 3 * 5 * 593 * 12176539883962932799
753372 1284. sz 117 2^2 * 3 * 61
313704 573. sz 117 2^2 * 3 * 853999 * 2705291
958056 647. sz 117 2^2 * 3^2
357792 1206. sz 117 2^2 * 3^2 * 111491
193320 986. sz 117 2^2 * 3^2 * 17
139056 2251. sz 117 2^2 * 3^2 * 44533
427704 1480. sz 117 2^2 * 3^2 * 5
559368 1873. sz 117 2^2 * 3^2 * 5 * 173
392340 1906. sz 117 2^2 * 3^2 * 5^4
477084 707. sz 117 2^2 * 3^3 * 19
574344 797. sz 117 2^2 * 3^3 * 5 * 103561
197310 1125. sz 117 2^2 * 3^3 * 5 * 2671
781302 2328. sz 117 2^2 * 3^3 * 5 * 9619
619800 1502. sz 117 2^2 * 3^4 * 5
353520 1009. sz 118 2^2 * 3
786720 977. sz 118 2^2 * 3
578760 1618. sz 118 2^2 * 3 * 101 * 110647 * 722321737
509832 1739. sz 118 2^2 * 3 * 31 * 42257
136192 622. sz 118 2^2 * 3 * 5 * 103
878752 1562. sz 118 2^2 * 3 * 5 * 7^2
893670 1174. sz 118 2^2 * 3 * 5146289
251580 1474. sz 118 2^2 * 3 * 67
233304 818. sz 118 2^2 * 3^2
927468 1292. sz 118 2^2 * 3^2
111426 1149. sz 118 2^2 * 3^2 * 11 * 13 * 6779
316960 1131. sz 118 2^2 * 3^2 * 29 * 467
768612 1943. sz 118 2^2 * 3^2 * 383 * 1933
547200 1441. sz 118 2^2 * 3^2 * 39317
708930 1343. sz 118 2^2 * 3^2 * 39461 * 7660223
474580 2321. sz 118 2^2 * 3^2 * 5 * 2377
799200 918. sz 118 2^2 * 3^2 * 5 * 71 * 1949
914760 2157. sz 118 2^2 * 3^2 * 5039
116040 1362. sz 118 2^2 * 3^3 * 19 * 29^2 * 53 * 1287989
922752 803. sz 118 2^2 * 3^3 * 5 * 13 * 47
753522 1597. sz 118 2^2 * 3^3 * 5 * 23 * 1223
531024 2662. sz 118 2^2 * 3^4 * 23
293496 857. sz 118 2^2 * 3^4 * 5
873528 561. sz 119 2^2 * 3 * 103
766560 1681. sz 119 2^2 * 3 * 11 * 17 * 47 * 331
787620 636. sz 119 2^2 * 3 * 19^2 * 71 * 2333
935008 1907. sz 119 2^2 * 3 * 2514737
533904 946. sz 119 2^2 * 3 * 41 * 769
394200 1372. sz 119 2^2 * 3 * 5^2 * 19
269688 2920. sz 119 2^2 * 3^2 * 13 * 71
838602 983. sz 120 2^2 * 3
643530 911. sz 120 2^2 * 3 * 1064685151
479136 2773. sz 120 2^2 * 3 * 11
558120 3407. sz 120 2^2 * 3 * 23 * 79
467016 4034. sz 120 2^2 * 3 * 281
557490 1239. sz 120 2^2 * 3 * 5
252588 1589. sz 120 2^2 * 3 * 5 * 103 * 2693 * 4856055876957941
308610 2389. sz 120 2^2 * 3 * 5 * 11 * 467
853740 551. sz 120 2^2 * 3 * 5 * 43
657816 1422. sz 120 2^2 * 3 * 653
277956 731. sz 120 2^2 * 3 * 7 * 13 * 643 * 6733
875520 1643. sz 120 2^2 * 3 * 7 * 71 * 257 * 997 * 6337
404868 1149. sz 120 2^2 * 3 * 800221
400158 1737. sz 120 2^2 * 3 * 911124659
623190 1551. sz 120 2^2 * 3^2 * 19 * 67
402780 439. sz 121 2^2 * 3
267102 654. sz 121 2^2 * 3 * 137
972720 1390. sz 121 2^2 * 3 * 1877 * 122029 * 504485371877
337008 592. sz 121 2^2 * 3 * 19 * 43
350994 959. sz 121 2^2 * 3 * 39610189
334548 809. sz 121 2^2 * 3 * 5 * 157
344136 889. sz 121 2^2 * 3^2
693812 1094. sz 121 2^2 * 3^2 * 19 * 77291
378642 1295. sz 121 2^2 * 3^2 * 5
227160 1294. sz 121 2^2 * 3^2 * 661
342216 1646. sz 121 2^2 * 3^5 * 2687
894456 441. sz 122 2^2 * 3 * 11
515064 1728. sz 122 2^2 * 3 * 11357029
201048 695. sz 122 2^2 * 3 * 13 * 412967
236840 722. sz 122 2^2 * 3 * 19
315780 405. sz 122 2^2 * 3 * 47 * 16573
438462 419. sz 122 2^2 * 3 * 5
230520 414. sz 122 2^2 * 3 * 5 * 29
716130 1911. sz 122 2^2 * 3 * 8200463933
448224 729. sz 122 2^2 * 3^2
497928 3332. sz 122 2^2 * 3^2
79584 1451. sz 122 2^2 * 3^2 * 11 * 23
981960 512. sz 122 2^2 * 3^2 * 12497 * 843811
662850 3663. sz 122 2^2 * 3^2 * 13
175602 561. sz 122 2^2 * 3^3 * 41 * 313 * 3187 * 6353 * 11117 * 201511
122508 1838. sz 122 2^2 * 3^3 * 5009
911484 401. sz 123 2^2 * 3 * 10037
178002 2070. sz 123 2^2 * 3^3 * 5
61116 1655. sz 124 2^2 * 3
767520 4433. sz 124 2^2 * 3 * 11 * 151
827880 1228. sz 124 2^2 * 3^2
985080 410. sz 125 2^2 * 3
494808 716. sz 125 2^2 * 3
919386 1065. sz 125 2^2 * 3 * 11
469812 3179. sz 125 2^2 * 3 * 1231
904188 2830. sz 125 2^2 * 3 * 17 * 107 * 9109
363126 1579. sz 125 2^2 * 3 * 19
938250 1967. sz 125 2^2 * 3 * 5 * 1013 * 30941
122688 1477. sz 125 2^2 * 3 * 5 * 181 * 300721
523044 1529. sz 125 2^2 * 3 * 5 * 58481 * 41557478047
462168 928. sz 125 2^2 * 3 * 5 * 59
795912 2455. sz 125 2^2 * 3 * 5 * 7 * 19^2 * 89 * 397
761516 1447. sz 125 2^2 * 3 * 5^2 * 11 * 673
996252 1758. sz 125 2^2 * 3 * 578861
336990 1354. sz 125 2^2 * 3^2 * 11 * 31019
980784 1188. sz 125 2^2 * 3^2 * 149 * 8218961
159846 857. sz 125 2^2 * 3^2 * 17 * 53 * 271 * 3529
170748 1565. sz 125 2^2 * 3^2 * 5 * 7 * 41 * 43 * 317 * 373
836244 1762. sz 125 2^2 * 3^2 * 7 * 31 * 2905087 * 3354133
116688 1237. sz 125 2^2 * 3^3
917790 2507. sz 125 2^2 * 3^3 * 5 * 7 * 342521
530640 3465. sz 126 2^2 * 3 * 149670900061
228150 881. sz 126 2^2 * 3^2 * 5 * 175753
509928 4524. sz 127 2^2 * 3
168912 2014. sz 127 2^2 * 3 * 47 * 2311
837480 1466. sz 127 2^2 * 3 * 47 * 6113 * 431567
511440 719. sz 127 2^2 * 3 * 5 * 89
161064 1786. sz 128 2^2 * 3 * 17 * 577
158814 3458. sz 130 2^2 * 3 * 17 * 3529
794184 1820. sz 130 2^2 * 3 * 5360837011597
129336 1923. sz 130 2^2 * 3^2 * 29 * 7949
102360 430. sz 130 2^2 * 3^3 * 109 * 131 * 194463079493
181650 1951. sz 131 2^2 * 3
259704 4605. sz 132 2^2 * 3 * 16607 * 22532987
381510 916. sz 132 2^2 * 3^2 * 5 * 683 * 737766131
643760 1373. sz 134 2^2 * 3 * 29^2 * 251
805686 472. sz 134 2^2 * 3 * 41
854418 404. sz 134 2^2 * 3 * 67 * 251 * 2809691
223692 1359. sz 135 2^2 * 3^2 * 491
715776 1941. sz 136 2^2 * 3 * 11 * 13 * 19
20076 3403. sz 136 2^2 * 3 * 50828150957
38880 1139. sz 138 2^2 * 3
425280 665. sz 138 2^2 * 3 * 61 * 787 * 82781
84054 1099. sz 139 2^2 * 3 * 5
128136 499. sz 139 2^2 * 3 * 5 * 118860961
52374 2535. sz 139 2^2 * 3^3 * 5
56928 1003. sz 140 2^2 * 3 * 17 * 766169
611156 5703. sz 144 2^2 * 3^2 * 167 * 6047 * 7451
998088 1304. sz 145 2^2 * 3^2
39060 1123. sz 147 2^2 * 3 * 17 * 29
940050 1624. sz 152 2^2 * 3^3 * 1163
890460 898. sz 156 2^2 * 3 * 53 * 103
[/code][B][COLOR=blue]Last complete update: 2012-Jun-08[/COLOR][/B]


Reserving 199710.
Are we deleting once reserved, or adding a reservation tag? For now, I'll add a reservation tag, as it's easier to delete than to recover the info.

schickel 2011-09-23 02:30

[QUOTE=Mini-Geek;272453]Reserving 199710.
Are we deleting once reserved, or adding a reservation tag? For now, I'll add a reservation tag, as it's easier to delete than to recover the info.[/QUOTE]That'll work for now. We'll have to see how the project goes....

RobertS 2011-09-23 10:34

Reserving 321660

Mini-Geek 2011-09-23 11:25

[QUOTE=schickel;272376][SIZE="1"]PS. Clifford has mentioned the required form for a factorization to result in losing the 3, but I'm haven't been able to find that email yet....[/SIZE][/QUOTE]

On this sort of subject: My driver has become 2^2 * 3^3. Is this significantly worse to get out of than 2^2 * 3? I'm wondering if that's why only 2^2 * 3^1 is listed.

10metreh 2011-09-23 15:40

[QUOTE=Mini-Geek;272503]On this sort of subject: My driver has become 2^2 * 3^3. Is this significantly worse to get out of than 2^2 * 3? I'm wondering if that's why only 2^2 * 3^1 is listed.[/QUOTE]

I think it has the same conditions; it isn't included because we don't the top post to become huge.

schickel 2011-09-23 21:46

[QUOTE=10metreh;272528]I think it has the same conditions; it isn't included because we don't the top post to become huge.[/QUOTE]A quick count shows that there are >600 sequences with some combination of 2^2 * 3, either alone or with other factors, but without a 7.

This is the highest power of 3 right now:[code]940224 1734. sz 113 2^2 * 3^9[/code]For those following along at home, I'll post an updated status file on everything open later this afternoon.....

Batalov 2011-09-23 23:02

I'll take 611156 (i4327), 960096 (i2655) and 378756 (i2911).

Mini-Geek 2011-09-24 02:59

Escape from 2^2*3 to 2^2 successful at 118 digits! :smile:
[url]http://factordb.com/sequences.php?se=1&aq=199710[/url]
It's now on a slow downward-ish slide, hopefully it will become the downdriver!

Batalov 2011-09-24 03:32

Don't forget - 3 comes and goes... See [URL="http://www.factordb.com/sequences.php?se=1&eff=2&aq=611156&action=range&fr=4310&to=4350"]for example[/URL] 611156.

schickel 2011-09-24 03:40

[QUOTE=schickel;272548]For those following along at home, I'll post an updated status file on everything open later this afternoon.....[/QUOTE]As promised, [URL="ftp://ftp.frontiernet.net/pub/users/aliquot/AllSeq.zip"]here[/URL] is a current status file for everything.....I left it sorted by sequence this time.

Mini-Geek 2011-09-24 03:40

[QUOTE=schickel;272376][SIZE="1"]PS. Clifford has mentioned the required form for a factorization to result in losing the 3, but I'm haven't been able to find that email yet....[/SIZE][/QUOTE]

I think it's something like this:
All primes congruent to 1 mod 3 must be raised to [strike]an odd power[/strike] Edit: a power n with n != 2 mod 3. (since nearly all large factors will be ^1, this is the more important of the two; Edit: simplistically, in practice, this means you want the factors to be 1 mod 3)
All primes congruent to 2 mod 3 must be raised to an even power
[QUOTE=Batalov;272590]Don't forget - 3 comes and goes... See [URL="http://www.factordb.com/sequences.php?se=1&eff=2&aq=611156&action=range&fr=4310&to=4350"]for example[/URL] 611156.[/QUOTE]

Yes, it does. Still, it's more hopeful when it's gone. :smile:

schickel 2011-09-24 03:53

[QUOTE=Mini-Geek;272588]Escape from 2^2*3 to 2^2 successful at 118 digits! :smile:
[url]http://factordb.com/sequences.php?se=1&aq=199710[/url]
It's now on a slow downward-ish slide, hopefully it will become the downdriver![/QUOTE]How about we delete the ones that manage to escape from the top post and move the sequence to the main reservation thread, unless indicated otherwise by the escapee?

schickel 2011-09-24 04:06

[QUOTE=Mini-Geek;272592]I think it's something like this:
All primes congruent to 1 mod 3 must be raised to an odd power (since nearly all large factors will be ^1, this is the more important of the two)
All primes congruent to 2 mod 3 must be raised to an even power.[/QUOTE]So does the exponent on the 3 matter? Also, does this change the sequences that get posted for work on this project? (Actually, at the very least, it lets out sequences with 5 raised to an odd power, correct? That takes 71 more out of play right off the bat....)

Batalov 2011-09-24 07:08

Will take 183936, too.

Mini-Geek 2011-09-24 13:17

[QUOTE=schickel;272594]How about we delete the ones that manage to escape from the top post and move the sequence to the main reservation thread, unless indicated otherwise by the escapee?[/QUOTE]
It'd be more work, and considering the 3 can come and go pretty easily, I don't really want to do it this way. I, for example, plan to run 199710 until it settles into a driver (currently driverless with 2^5*7^2*11) or grows too large for me to handle. I'd expect many others would do similar. I'd prefer to leave it in this thread until they say otherwise. (it's not like it prevents this subproject from being complete - we can mark sequences that are no longer 2^2*3 if that'd make things clearer)
[QUOTE=schickel;272597]So does the exponent on the 3 matter? Also, does this change the sequences that get posted for work on this project? (Actually, at the very least, it lets out sequences with 5 raised to an odd power, correct? That takes 71 more out of play right off the bat....)[/QUOTE]

AFAICT, no, the exponent on the 3 doesn't matter, because sigma(3^n) mod 3 is 1 for any n>=0. If you want to hit the most likely to break first, yes, you'd avoid sequences with 5 raised to an odd power, (because they can't lose it on the very next line) but depending on how hard it is to lose that 5 or change its power, it might be a very minor difference.
A little more on my methods and why "sigma(3^n) mod 3 is 1" is important: see the [URL="http://www.mersennewiki.org/index.php/Aliquot_Sequences"]formula[/URL] for calculating the sigma of a number. If the current line is divisible by 3, that means it is 0 mod 3. Once we have its sigma, the next line is sigma - lastLine. Working mod 3, that's sigma - 0, or sigma. So for the next line to not be divisible by 3, sigma != 0 mod 3 must be true. The sigma is the product of a series of numbers, which are the sigmas of the prime factors, e.g. sigma(2^2*3)=sigma(2^2)*sigma(3). If none of these numbers multiplied together are 0 mod 3, (i.e. all are -1 and 1, or 1 and 2 if you prefer) then the sigma will not be 0 mod 3, and so the next line will not be 0 mod 3.
I'm sure I'm stating trivialities for mathematicians, but considering I'm the first in this thread to mention how to lose the 3, it might be of some use for learning for everyone. :smile:

Mini-Geek 2011-09-24 13:55

[QUOTE=Mini-Geek;272592]All primes congruent to 1 mod 3 must be raised to an odd power (since nearly all large factors will be ^1, this is the more important of the two)[/QUOTE]

Correction:
All primes congruent to 1 mod 3 must be raised to a power n with n != 2 mod 3.

bchaffin 2011-09-24 14:23

I'll take 243402.

schickel 2011-09-24 15:20

[QUOTE=Mini-Geek;272614]It'd be more work, and considering the 3 can come and go pretty easily, I don't really want to do it this way. I, for example, plan to run 199710 until it settles into a driver (currently driverless with 2^5*7^2*11) or grows too large for me to handle. I'd expect many others would do similar. I'd prefer to leave it in this thread until they say otherwise. (it's not like it prevents this subproject from being complete - we can mark sequences that are no longer 2^2*3 if that'd make things clearer)[/QUOTE]OK, whichever way you figure is easier (I'm all in favor of easier....)

Mini-Geek 2011-09-25 02:40

Unreserving [URL="http://factordb.com/sequences.php?se=1&aq=199710"]199710[/URL], since it has a 2^5*7 guide and a c114 (full ECM done), size 120.
Reserving 247840.

schickel 2011-09-25 04:59

Just by way of encouragement.....
 
Just to help motivate everyone, here is what the status of bchaffin's latest termination was in my last pull:[code]734184 850. sz 111 2^2 * 3^3 * 83[/code]Yep, that's right, it was 2^2 * 3!!! :smile:

PS. Check out the [URL="http://factordb.com/aliquot.php?type=1&aq=734184&big=1"]slope[/URL] on that first downdriver run!

schickel 2011-09-25 05:04

[QUOTE=Mini-Geek;272668]Reserving 247840.[/QUOTE]Hmmm....I left the file sorted by size, thinking it might make it easier for people to pick one out. Should we resort the list by sequence?

LaurV 2011-09-25 11:02

[QUOTE=schickel;272591]As promised, [URL="ftp://ftp.frontiernet.net/pub/users/aliquot/AllSeq.zip"]here[/URL] is a current status file for everything.....I left it sorted by sequence this time.[/QUOTE]

Ok, I dlded the list picked up 996666 (love the looking :P), fed it to yafu. The C110 at the end splits in:

[CODE]PRP18 = 508589975260964627
PRP92 = 80099422866747069882885138925003246019962693978819307076036046509103508938007134955902232051
[/CODE]

ecm curve 58/90, less then a minute. Maybe it helps a dime.. (I never was an Aliquot fan till now :D)

Mini-Geek 2011-09-25 12:00

[QUOTE=schickel;272673]Hmmm....I left the file sorted by size, thinking it might make it easier for people to pick one out. Should we resort the list by sequence?[/QUOTE]

I prefer by size, because that's what really makes a difference in trying to test a sequence, not where it started or how long it's been going on. I think the clustering of reservations near the smaller sequences can be mostly attributed to the fact that they're also at the top of the list. (in my case, I can tell you that's the case)
[QUOTE=LaurV;272687]Ok, I dlded the list picked up 996666 (love the looking :P), fed it to yafu. The C110 at the end splits in:

[CODE]PRP18 = 508589975260964627
PRP92 = 80099422866747069882885138925003246019962693978819307076036046509103508938007134955902232051
[/CODE]

ecm curve 58/90, less then a minute. Maybe it helps a dime.. (I never was an Aliquot fan till now :D)[/QUOTE]
Thanks, and welcome! Here are some links to get you started:
[url]http://www.mersenneforum.org/showthread.php?t=12140[/url]
[url]http://gilchrist.ca/jeff/factoring/index.html[/url]
[url]http://gilchrist.ca/jeff/factoring/nfs_beginners_guide.html[/url]
[url]http://www.mersennewiki.org/index.php/Aliquot_Sequences[/url]
And yes, that does help a bit. Hopefully anyone trying to pick up that number would run ECM on it first, but it's possible to assume ECM had already been run, which would have meant a lot of extra GNFS work that is completely unnecessary.
In case you're not familiar with it, we log all our work into the FactorDB. [URL="http://factordb.com/sequences.php?se=1&aq=996666"]Here is its entry for 996666[/URL]. It includes your factors for that C110.

bchaffin 2011-09-25 16:01

[QUOTE=Mini-Geek;272453]Are we deleting once reserved, or adding a reservation tag? For now, I'll add a reservation tag, as it's easier to delete than to recover the info.[/QUOTE]

I like this method, since it allows me to parse the top post so my workers can avoid the reserved sequences -- I just made this change.

As always, if there are any sequences you want me to stay away from which are not in the top post of either the main reservations thread or this thread, let me know. (I'm also still avoiding everything from project 400 until that subproject is declared officially done, though that's probably irrelevant since those sequences are typically way above the workers' threshold.)

LaurV 2011-09-26 02:05

[QUOTE=Mini-Geek;272689]
In case you're not familiar with it, we log all our work into the FactorDB. [URL="http://factordb.com/sequences.php?se=1&aq=996666"]Here is its entry for 996666[/URL]. It includes your factors for that C110.[/QUOTE]

Of course, I reported them :D And from FactorDB I took the C110 of the last term (the zip does not contains the terms, as you know, but only the heads of the sequences). Decided to take it one more step. Already few k relations from the 150 k needed (yafu siqs). I will check your links, thanks.

LaurV 2011-09-26 07:48

[QUOTE=schickel;272591]As promised, [URL="ftp://ftp.frontiernet.net/pub/users/aliquot/AllSeq.zip"]here[/URL] is a current status file for everything.....I left it sorted by sequence this time.[/QUOTE]

Now, that I stuck my ears into this domain and can't get them off, I think it would be better to have a "*Cxxx" at the end of each line of this file. To see at a glance how big is the cofactor. Of course we can guess it from the provided factors, but it is not "at a glance". Eventually, xxx padded to 3 characters (filled with 0 in front). This would make it easier for newcomers (like me) who want just to "try" few more steps, to sort it by the cofactor's size and pick a sequence with a convenient cofactor... My range is, say, below 110 digits, so I would like to pick a cofactor in this range and play with it few hours/days. When is factorized, I report the result, without going too deep into aliquotes. So, one can contribute from time to time when he has some spare core and the right mood.

Edit:
1. I am pushing C110 of 866th term of 996666 at least one step (I like this number, that's why, easy to remember)
2. I am pushing C96 of 2474th term of 256950 at least few steps (it is the smallest composite in the list, that's why)
in the next days. I hope I am not stepping on anybody's tail

schickel 2011-09-26 08:53

[QUOTE=LaurV;272749]Now, that I stuck my ears into this domain and can't get them off, I think it would be better to have a "*Cxxx" at the end of each line of this file. To see at a glance how big is the cofactor. Of course we can guess it from the provided factors, but it is not "at a glance". Eventually, xxx padded to 3 characters (filled with 0 in front). This would make it easier for newcomers (like me) who want just to "try" few more steps, to sort it by the cofactor's size and pick a sequence with a convenient cofactor... My range is, say, below 110 digits, so I would like to pick a cofactor in this range and play with it few hours/days. When is factorized, I report the result, without going too deep into aliquotes. So, one can contribute from time to time when he has some spare core and the right mood.[/quote]It would take some additional effort on my part. I use the "[URL="http://factordb.com/elf.php?seq=996666&type=1"]Download .elf file[/URL]" link to pull down the complete sequence. To get the size of the remaining composite, I would have to either divide out the small factors or do a search on the initial number on the line to parse out the size. If I get some time, I'll see what is going to be easier....[quote]Edit:
1. I am pushing C110 of 866th term of 996666 at least one step (I like this number, that's why, easy to remember)
2. I am pushing C96 of 2474th term of 256950 at least few steps (it is the smallest composite in the list, that's why)
in the next days. I hope I am not stepping on anybody's tail[/QUOTE]Just check the reservation [URL="http://www.mersenneforum.org/showthread.php?t=11588"]thread[/URL] to see what is officially reserved. If you want exclusivity on a sequence, post in the reservation thread, otherwise the DB workers or bchaffin's sequence workers will factor any number that is small enough (currently ~106 digits for bchaffin's workers, considerably smaller for the other DB workers).

Checking, right now 256950 is reserved by fivemack, and the sequence just finished a downdriver run. Since it has the 2^2 * 7 driver, it is going to increase until an escape occurs. It is very likely that he has local work that has not been uploaded to the DB.

996666 is currently unreserved, but is currently driven by 2^4 * 31, so it is also on an upward trend. Just run it until it's beyond your reach.....

If you want something a little more manageable, look for a smaller sequence with just [TEX]2^n[/TEX] as the leading factor, that way it's likely to decrease the next line....

LaurV 2011-09-26 10:19

[QUOTE=schickel;272754]
Checking, right now 256950 is reserved by fivemack, and the sequence just finished a downdriver run. Since it has the 2^2 * 7 driver, it is going to increase until an escape occurs. It is very likely that he has local work that has not been uploaded to the DB.
[/QUOTE]

C96 was almost finished when I read your post (about 85k relations from 97k needed) so I let it finish. It splits into:

PRP52 = 3723350663243243784127076674821693188932287078906061
PRP44 = 90710817240745853809351361240337236523389537

I am giving up on it, I don't want to step on fivemack's toes. As you said, most probably he has these factors too, on his local logs. One C96 is not big deal. (later edit: could not resist, that c72 looked juicy, so I did another 2 steps)

[QUOTE]
996666 is currently unreserved, but is currently driven by 2^4 * 31, so it is also on an upward trend. Just run it until it's beyond your reach.....
[/QUOTE]Ok, then I will try to get it on, some more steps.

[QUOTE]
If you want something a little more manageable, look for a smaller sequence with just [TEX]2^n[/TEX] as the leading factor, that way it's likely to decrease the next line....[/QUOTE]Thanks for the advice. I read some theory on the subject (drivers, guides, downdrivers, etc), but I still did not fully understood it, and I don't have the "feeling" of what is happening and why.

Mini-Geek 2011-09-26 22:18

[QUOTE=LaurV;272760]Thanks for the advice. I read some theory on the subject (drivers, guides, downdrivers, etc), but I still did not fully understood it, and I don't have the "feeling" of what is happening and why.[/QUOTE]

To help you get the "feel" of it: the sequences are calculated by summing the factors of a number. Lots of little prime factors make for lots of total factors, which make the sequence grow quickly. Few enough little factors means the sequence will drop. Certain groups of factors (especially perfect numbers, which (when even) always correspond to Mersenne numbers) tend to stick around; most of these make the sequence grow (i.e. drivers/guides), while others tend to make it smaller (downdriver, and 2^x, which I call "downguides", since they let the sequence drop if there aren't any other fairly small factors).
It may be informative to find a part of a sequence that has some ups and downs, and where the size is under 80 digits, and rerun it, watching the aliqueit output...growing with certain drivers, hovering around the same size, or dropping, and how they change.

Mini-Geek 2011-09-27 00:45

Releasing [URL="http://factordb.com/sequences.php?se=1&aq=247840"]247840[/URL]. It acquired the 2^2 * 7 driver and hit a c111 (full ECM) in one iteration.

bchaffin 2011-09-28 02:21

Releasing 243402, which is done for this project. It did manage to lose the 3 and even decreased for a little while, but then picked up 2^4 * 31.

I'll take 252330 next.

LaurV 2011-09-30 04:18

@schickel

Well, I took 996666 from T865 (T=term) to T880 (after a proper reservation, as you advised me before), it is a "good" sequence, never made problems and gave me to factor only composites below C102. Still going on it.

I use to report the factors as I find them. All is manual job, I don't like the fact that I can't (or I don't know how to) customize programs like aliqueit112.exe to launch the factoring program I want, with the parameters I want, so I do the job manually when I have time and a free core for a couple of hours). This is in fact good, as someone else (the server, yoyo's boincs) could find factors for the small composites (when and if they appear) faster that I can do, but is bad because they step on my fingers and we do the same job twice.

That is why I posted, I just want to let you know FYI that the fact you mentioned, about the factorDB not lending out composites from proper reserved sequences, is not quite true. As I expected, last evening someone (maybe one of yoyo's boincs) factored the C82 of T879 and reported the result much faster then I could :smile:. No big deal, if the sequence is making steps, no matter who pushed it forward. I will jostle it when is floundered.:smile:

schickel 2011-09-30 05:26

[QUOTE=LaurV;273021]@schickel

Well, I took 996666 from T865 (T=term) to T880 (after a proper reservation, as you advised me before), it is a "good" sequence, never made problems and gave me to factor only composites below C102. Still going on it.[/quote]Good to hear that things are going good.[quote]I use to report the factors as I find them. All is manual job, I don't like the fact that I can't (or I don't know how to) customize programs like aliqueit112.exe to launch the factoring program I want, with the parameters I want, so I do the job manually when I have time and a free core for a couple of hours). This is in fact good, as someone else (the server, yoyo's boincs) could find factors for the small composites (when and if they appear) faster that I can do, but is bad because they step on my fingers and we do the same job twice.[/quote]Well, one trick you can use is to keep the .elf file locally, and only report the factors occasionally. The FactorDB can handle the lines of an elf file through the "Report results -> Report factors" interface (the type is "Multiple factors per line, base 10".)

If you care to post details about the problems you're having getting aliqueit going, I'm sure that someone would have a setup close enough to yours to help get things squared away.[quote]That is why I posted, I just want to let you know FYI that the fact you mentioned, about the factorDB not lending out composites from proper reserved sequences, is not quite true. As I expected, last evening someone (maybe one of yoyo's boincs) factored the C82 of T879 and reported the result much faster then I could . No big deal, if the sequence is making steps, no matter who pushed it forward. I will jostle it when is floundered. :smile:[/quote]It is a >99% probability that it is yoyo's workers catching these, since bchaffin's workers check the reservation thread while yoyo's workers only work on the smallest open composites....

RobertS 2011-10-01 14:34

Releasing
321660 after a short downdrive it now has 2^2*3*7

Taking
590556

RobertS 2011-10-01 18:00

Releasing 590556, a quickie:
started with i2303: 2^2*3
lost the 3 at i2314
lost a 2 at i2318
now: i3060: [B]59![/B]

taking: 787920

fivemack 2011-10-01 18:36

IE you've managed a sequence termination. Superb!

fivemack 2011-10-04 09:46

Taking 356382

Andi47 2011-10-04 18:40

reserving 347664

bchaffin 2011-10-05 17:30

252330 is done. It lost and regained the 3 many times, and even had a brief downdriver run, but now it has 2^3*3*5.

Edit: looks like my workers already finished off 412944 too (it now has 2^3 * 3^2).

Reserving 429264.

schickel 2011-10-05 20:37

[QUOTE=bchaffin;273492]Edit: looks like my workers already finished off 412944 too (it now has 2^3 * 3^2).[/QUOTE]'Course you could try to manage an escape from 2^3 * 3 while the 3 is squared.....(although looking at it, there were plenty of chances that haven't borne fruit....too bad.)

EdH 2011-10-05 20:56

I am playing with 665400. Not sure if I will take it to sub-project completion or not. I'm setting up a "new-to-me" dual core machine...

bchaffin 2011-10-06 00:12

[QUOTE=schickel;273499]'Course you could try to manage an escape from 2^3 * 3 while the 3 is squared.....(although looking at it, there were plenty of chances that haven't borne fruit....too bad.)[/QUOTE]

Yeah... but there are so many other ones to do instead. :smile: Maybe the next subproject can tackle ones like this -- and maybe by then my workers will have gotten to c109s and pushed this one a little farther.

henryzz 2011-10-07 11:45

[QUOTE=bchaffin;273524]Yeah... but there are so many other ones to do instead. :smile: Maybe the next subproject can tackle ones like this -- and maybe by then my workers will have gotten to c109s and pushed this one a little farther.[/QUOTE]
There is a subproject for this. I think this subproject is probably better as you often gain 2^2 * 3 when losing 2^3 * 3.

schickel 2011-10-07 11:51

[QUOTE=henryzz;273676]There is a subproject for this. I think this subproject is probably better as you often gain 2^2 * 3 when losing 2^3 * 3.[/QUOTE]I did try several driver escape projects, but I basically abandoned them because it's not as easy as it seems it would be to escape a driver (especially the 2^3 * 3 duo....)

Andi_HB 2011-10-09 11:02

Reserving 489762

RobertS 2011-10-14 18:13

Releasing:
787920: size 125, 2^5 *3

Taking:
440592

Batalov 2011-10-15 04:47

981510: i1169 -> 1177; mission accomplished.
And now, reserving for the main thread.

gd_barnes 2011-10-15 05:19

The first post here is kind of misleading. Many sequences listed either no longer have a 3, have a greater power of 2 or 3, or have a significant driver of some kind. Would it make sense to delete some or all of them now or move them to the main reservations thread? Below is a list. Many have advanced hundreds of iterations without a shown reservation.

Driver (1/4 shown reserved):
992096 2^4*3*31
320184 2^2*7
652884 2^2*3*7
960096 2^2*3^2*7

No 3 (4/8 shown reserved):
356382 2^6
529632 2^2
966444 2^3*5^2*7
440592 2^3
609300 2^2
981510 2^2
183936 2^4*5*7
611156 2^2

Greater power of 2 and/or 3 (3/16 shown reserved)
347664 2^2*3^2
665400 2^3*3
838602 2^2*3^2
378756 2^3*3
720762 2^5*3^3
802344 2^2*3^2
921336 2^2*3^3
969948 2^3*3*5
397728 2^3*3
573600 2^2*3^2
578550 2^3*3^2
623580 2^2*3^2
654888 2^2*3^2
217824 2^3*3
474580 2^2*3^2
266136 2^2*3^3

schickel 2011-10-15 08:08

[QUOTE=gd_barnes;274565]The first post here is kind of misleading. Many sequences listed either no longer have a 3, have a greater power of 2 or 3, or have a significant driver of some kind. Would it make sense to delete some or all of them now or move them to the main reservations thread? Below is a list. Many have advanced hundreds of iterations without a shown reservation.[/QUOTE]There are two issues here. One is that there are two groups of workers that can advance a sequence without a reservation in place. bchaffin has a dedicated group of workers that work solely on factoring composites for aliquot sequences (they're up to 106 digits right now) and yoyo has a group of BOINC workers that do any open composite. Both of them can advnace a sequence if the blocking composite is small enough, but bchaffin's workers will avoid sequences that are reserved in the main thread.

The other issue is that I hadn't pulled a current status on the sequences for this project recently enough. I try and pull a status weekly becuase of the workers that may advance a sequence while no one is looking.....

EdH 2011-10-16 02:05

Releasing [URL="http://www.factordb.com/sequences.php?se=1&eff=2&aq=665400&action=last20&fr=0&to=100"]665400[/URL], size 130, i2241, 2[SUP]3[/SUP] * 3 * 7 * c128

The 3 wouldn't let go...

I'll play with 981510 for a little while and see if someone notices. It has been working upward in the db, but maybe that was bchaffin...

Andi_HB 2011-10-16 04:40

489762 has lost the 3 at index 1907 - i do a little bit more work on it.

Andi47 2011-10-16 07:40

unreserving 347664 at i1988, sz. 117, [COLOR="Red"]2²*7[/COLOR]*19*59*67*1549*[not much ecm'd c108]

reserving 439740

Batalov 2011-10-16 08:37

[QUOTE=EdH;274690]Releasing [URL="http://www.factordb.com/sequences.php?se=1&eff=2&aq=665400&action=last20&fr=0&to=100"]665400[/URL], size 130, i2241, 2[SUP]3[/SUP] * 3 * 7 * c128

The 3 wouldn't let go...

I'll play with 981510 for a little while and see if someone notices. It has been working upward in the db, but maybe that was bchaffin...[/QUOTE]
You couldn't scan even this thread (let alone search forum)? Try Ctrl-F...

...and leave this sequence alone. :-)

EdH 2011-10-17 01:33

[QUOTE=Batalov;274726]You couldn't scan even this thread (let alone search forum)? Try Ctrl-F...

...and leave this sequence alone. :-)[/QUOTE]
Hmm... I did scan this thread and the main reservations. I'll leave it alone...

Andi_HB 2011-10-18 06:47

Unreserving 489762 size 121 at i 1923 , [URL="http://www.factordb.com/index.php?id=2"][COLOR=#000000]2^9[/COLOR][/URL] · [URL="http://www.factordb.com/index.php?id=3"][COLOR=#000000]3^4[/COLOR][/URL] · [URL="http://www.factordb.com/index.php?id=47"][COLOR=#000000]47[/COLOR][/URL] · [URL="http://www.factordb.com/index.php?id=1181"][COLOR=#000000]1181[/COLOR][/URL]
The c112 is ready for ggnfs.

Andi47 2011-10-23 09:07

[QUOTE=Andi47;274721]
reserving 439740[/QUOTE]

This one mutated to [COLOR="Navy"]2²[/COLOR] without a 3, currently at i1125, size 114, 2²*1483*11933*c106, currently GNFSing the c106.

The sequence is done for this project, but I keep it reserved.

bchaffin 2011-10-24 05:36

429264 is done: i1369, size 125, 2^3*3. Had a downdriver for a little while there...

I'll take 440094 next.

rajula 2011-10-24 08:21

I would like take 869202.

schickel 2011-10-24 09:03

I pulled a status on everything and culled out the unreserved sequences that weren't 2^2 * 3 anymore....

EdH 2011-10-24 13:54

Let me play with 733290 for a little while...

Batalov 2011-10-24 19:36

[QUOTE=schickel;275504]I pulled a status on everything and culled out the unreserved sequences that weren't 2^2 * 3 anymore....[/QUOTE]
...but did you add those that now regained 2^2 * 3 ? :smile:

EdH 2011-10-25 02:30

[URL="http://www.factordb.com/sequences.php?se=1&eff=2&aq=733290&action=last20&fr=0&to=100"]733290[/URL] has lost the 3:smile: size 115, i1089, 2[SUP]2[/SUP] * 631 * c112

I'll reserve it in the main thread...

schickel 2011-10-25 06:53

[QUOTE=Batalov;275564]...but did you add those that now regained 2^2 * 3 ? :smile:[/QUOTE]Ooops...I see I missed one. But to answer your question, no I did not add any back in. If we get a sudden surge of interest and look to be running out of sequences for the project, I'll pull another batch from the main sequence pool.

(I [I]do[/I] have to pull the status of everything again sometime soon...)

RobertS 2011-10-25 14:50

Releasing:
440592: size 117: 2^4*31

Taking:
521940

bchaffin 2011-10-25 15:05

Releasing:
440094: i1540, size 115, 2^2*7

Reserving 637272.

fivemack 2011-10-26 08:27

Abandoning 356382 (the C126 in factorDB has been fully ECMed)

bchaffin 2011-10-27 18:18

Reserving 565800.

RobertS 2011-10-29 13:56

Releasing:
521940: i659 -> i2192, size 116: 2^2*7:

Taking:
423000

ugly2dog 2011-10-29 15:12

[QUOTE=Andi_HB;274967]Unreserving 489762 size 121 at i 1923 , [URL="http://www.factordb.com/index.php?id=2"][COLOR=#000000]2^9[/COLOR][/URL] · [URL="http://www.factordb.com/index.php?id=3"][COLOR=#000000]3^4[/COLOR][/URL] · [URL="http://www.factordb.com/index.php?id=47"][COLOR=#000000]47[/COLOR][/URL] · [URL="http://www.factordb.com/index.php?id=1181"][COLOR=#000000]1181[/COLOR][/URL]
The c112 is ready for ggnfs.[/QUOTE]

I'll do the C112 and see where it goes from there.

Mini-Geek 2011-10-29 15:47

[QUOTE=ugly2dog;276242]I'll do the C112 and see where it goes from there.[/QUOTE]

Note that I have now added that sequence (489762) to the [URL="http://www.mersenneforum.org/showthread.php?t=11588"]main reservations thread[/URL], so be sure to unreserve it when you're done with it.

gd_barnes 2011-11-01 20:43

The following have lost the '3':
320184
344136
423000
609300
611156
654888

Only 2 are reserved. More than one of the others looks very interesting.

LaurV 2011-11-02 05:24

Crunching C111 of T1437 of 585000. Depending of how fast it would go, I would keep it for few steps.

gd_barnes 2011-11-02 06:32

[QUOTE=gd_barnes;276643]The following have lost the '3':
344136
[/QUOTE]

It looks like 344136 regained the '3'.

Andi_HB 2011-11-02 11:58

Reserving 615020

LaurV 2011-11-04 03:34

@schickel: you should call this project "add as many 3's as you can (and if possible, as many 2's as you can)".

Then I would be the leader!! Yaaarrr!

My old sequence just got "tremendous" powers of 2, which I can't get rid of, and for the new 585000, just after 4 iterations since I took it, it jumped from 2^2*3 to to 2^2*3^5 :smile:

Is it true that the powers have to rise first, before disappearing? Like losing a bit now to gain more later? :smile: Then it may be a good sign....

smh 2011-11-04 11:03

I'll reserve

369978 1188. sz 113 2^2 * 3
417186 2929. sz 113 2^2 * 3 * 13 * 941

schickel 2011-11-04 12:32

I pulled an update on everything in the top post and found this little gem:[code]183936 2296. sz 129 [COLOR="Green"]2 * 13[/COLOR] - Batalov[/code]Looks like Batalov managed to totally lose the 3!!!

:banana: :skiing: :maybeso:

LaurV 2011-11-05 08:55

[QUOTE=LaurV;277079]
Is it true that the powers have to rise first, before disappearing? Like losing a bit now to gain more later? :smile: Then it may be a good sign....[/QUOTE]

I was right with that. 585000 lost the 3 and it seems that is "in" for a deep. I consider the mission accomplished, but I will be still playing with it for a while, to see "how low can it go" (you know the dance...)

bchaffin 2011-11-07 01:16

Done with 565800: i1402, size 140, 2^3 * 3. Had a brief downdriver run, but it didn't last long.

Reserving 206694.

smh 2011-11-07 13:27

[QUOTE=smh;277096]369978 1188. sz 113 2^2 * 3
417186 2929. sz 113 2^2 * 3 * 13 * 941[/QUOTE]
Unreserving. Both are > 120 digits

Reserving:

798924 1561. sz 113 2^2 * 3
803424 1848. sz 113 2^2 * 3
382626 801. sz 113 2^2 * 3

Mini-Geek 2011-11-08 00:29

[QUOTE=schickel;272376][code]
652884 2253. sz 111 2^2 * 3 * 7
802344 1527. sz 114 2^2 * 3^4 * 7
[/code][/QUOTE]

That's not 2^2*3, that's 2^2*7. Removing those from the list. (making this post just in case I'm missing something silly and these should really still be here)

bchaffin 2011-11-08 05:27

Well that was quick. Releasing 206694, now at i1117, size 116, 2^3*3.

Reserving 768222.

gd_barnes 2011-11-08 05:52

[QUOTE=bchaffin;277525]Well that was quick. Releasing 206694, now at i1117, size 116, 2^3*3.

Reserving 768222.[/QUOTE]

I'm just curious. How was that quick? Isn't the subproject "Lose the '3'"? The '3' is still there.

bchaffin 2011-11-08 06:18

[QUOTE=gd_barnes;277530]I'm just curious. How was that quick? Isn't the subproject "Lose the '3'"? The '3' is still there.[/QUOTE]

Well, I have to admit you have a point there. But 2^3*3 is a driver, whereas 2^2*3 is a sort of 'weak guide'. It tends to stick around for several terms and cause the sequence to grow, but has a good chance of losing the 3 and becoming just 2^2.

I figure once a sequence has picked up a driver, it's done for this subproject.

Andi47 2011-11-08 18:02

reserving 530082

MyDogBuster 2011-11-09 20:33

Reserving 228956 & 738144

MyDogBuster 2011-11-11 01:15

Lost my 3 on 228956 @ 1768

and picked up a downer @ 1775

Andi_HB 2011-11-11 08:04

615020 lost the 3 and picked up a downdriver at i 535 size 110

MyDogBuster 2011-11-13 11:09

1 Attachment(s)
Sequence 228956

Close but no cigar. Check out this chart.

I'll see if it goes back to C115. I had a major war going on between lines 2200-2600.

schickel 2011-11-13 16:42

[QUOTE=MyDogBuster;278110]Sequence 228956

Close but no cigar. Check out this chart.

I'll see if it goes back to C115. I had a major war going on between lines 2200-2600.[/QUOTE]Nice one! It's always exciting when it starts getting down that low....

schickel 2011-11-13 16:45

[QUOTE=schickel;278142]Nice one! It's always exciting when it starts getting down that low....[/QUOTE]Ulp! Just checked it in the DB, and I see that the darn 2^3 * 3 * 5 driver has taken over. I would say just bail on it when it get back above 100 (which doesn't take long with that driver....)

Andi47 2011-11-13 17:52

[QUOTE=schickel;278145] I would say just bail on it when it get back above 100 (which doesn't take long with that driver....)[/QUOTE]

This would give a "new" sequence for the "project 110 digits".

gd_barnes 2011-11-13 21:52

[QUOTE=Andi47;278152]This would give a "new" sequence for the "project 110 digits".[/QUOTE]

Agreed. After a long down run, sequences should not be "bailed on" before they get back to 110 digits.

schickel 2011-11-14 04:18

[QUOTE=Andi47;278152]This would give a "new" sequence for the "project 110 digits".[/QUOTE]

[QUOTE=gd_barnes;278182]Agreed. After a long down run, sequences should not be "bailed on" before they get back to 110 digits.[/QUOTE]Actually, if you bail on something [b]and[/b] unreserve it, bchaffin's magic elves will do the scut work of getting it back up where it belongs. Besides, it's boring sitting and watch a sequence when you know what it is (very) likely to do....

gd_barnes 2011-11-14 04:58

[QUOTE=schickel;278207]Actually, if you bail on something [B]and[/B] unreserve it, bchaffin's magic elves will do the scut work of getting it back up where it belongs. Besides, it's boring sitting and watch a sequence when you know what it is (very) likely to do....[/QUOTE]

Aren't Bchanffin's magic elves only factoring up to 106 digits at the moment? Couldn't that leave an unreserved sequence at 107-109 digits? Please correct me if I'm wrong.

Also I'm wondering...if you have an effort to bring everything up to 110 digits, doesn't it make sense to keep everything there? Is it "fair and reasonable" to have someone else's workers do the dirty work while others catch the downdriver runs and abandon them at 95-100 digits?

I bring all of this up because about 6-7 months ago several months after the 110-digit effort was done, I did a "scan" on the DB to see if everything had "stayed" there. It hadn't. I reserved and searched about 5-6 sequences up to 110 digits myself. (There were 7-8 of them and only 2 were reserved.) All clearly had a downdriver run after having reached 110 digits and were just sitting at between 104 and 109 digits after someone quit running and released them. I believe at that point the workers were only up to 103-104 digits.

Just my two cents.

MyDogBuster 2011-11-14 14:19

Releasing 228956 @ C117 3476 - It was a nice run

Reserving 533904


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