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-   -   Aliquot sequences that start on the integer powers n^i (https://www.mersenneforum.org/showthread.php?t=23612)

gd_barnes 2018-12-01 11:24

I tested all of n=12 up to size 102 and cofactor 97 (fully ECM'd). Here are the updates:

12^7: 1532 U107 (100) +26 iterations
12^9: 1173 U103 (97) +143
12^13: 968 U103 (102) +137
12^17: 1059 U103 (99) +122
12^23: 1034 U109 (103) +10
12^25: 1040 U104 (102) +248
12^27: 1018 U102 (97) +110
12^31: 480 U112 (103) +38
12^33: 518 U103 (101) +30
12^37: 886 U105 (98) +36
12^39: 1032 U103 (101) +190
12^41: 2279 U104 (101) +130
12^45: 578 U104 (101) +39
12^49: 175 U106 (98) +4
12^51: 1575 U102 (97) +85
12^53: 596 U108 (103) +122
12^55: 224 U106 (103) +76
12^57: 632 U103 (100) +88
12^59: 1105 U102 (100) +200
12^61: 2340 U103 (100) +9
12^63: 271 U103 (102) +98
12^65: 201 U102 (99) +155
12^69: 302 U103 (97) +260
12^81: 47 U103 (100) +14
12^83: 110 U102 (100) +15
12^85: 322 U102 (97) +74
12^87: 72 U102 (99) +63
12^89: 65 U107 (97) +54
12^91: 411 U105 (99) +409
12^93: 21 U102 (98) +16
12^95: 32 U107 (106) +25
12^97: 32 U108 (97) +30
12^99: 10 U107 (105) +8
12^101: 29 U114 (112) +18
12^107: 7 U116 (116) +5

Many of these were already updated before I reported them.

I am now working on all of n=13 testing to the same limit. I'll be done in ~2-3 days.

No reservations.

gd_barnes 2018-12-02 05:05

13^97, 13^99, 13^105, and 13^107 all terminate after short runs. :smile:

garambois 2018-12-02 18:39

OK, all is updated !

A special thank you to Karsten Bonath who once again provided scripts to make changes.

Thanks to all for your help !
Thanks to all for checking if the changes corresponded to your expectations !

[QUOTE=Happy5214;501329]I'll reserve 21, but I won't start work on it until my current batch of sequences is done.[/QUOTE]

Happy5214, I don't understand what you're asking ?
Do you want to reserve the base 21 which is not yet created ?

:smile:

kar_bon 2018-12-03 08:46

10^116 terminated

kar_bon 2018-12-03 13:01

10^118 terminated

gd_barnes 2018-12-04 06:45

I tested all of n=13 up to size 102 and cofactor 97 (fully ECM'd). Here are the updates:

13^12: 659 U108 (105) +28 iterations
13^18: 961 U107 (97) +21
13^20: 1014 U102 (99) +22
13^22: 771 U103 (97) +45
13^24: 351 U109 (101) +52
13^26: 854 U107 (97) +56
13^28: 634 U103 (98) +3
13^32: 2814 U102 (100) +1864 (a wild ride!)
13^34: 1227 U106 (99) +76
13^36: 940 U104 (98) +24
13^40: 1685 U107 (102) +79
13^42: 306 U103 (100) +25
13^44: 803 U109 (100) +68
13^46: 248 U107 (97) +32
13^48: 1116 U102 (99) +55
13^50: 1216 U105 (104) +128
13^52: 242 U106 (103) +97
13^54: 352 U106 (101) +45
13^56: 607 U107 (104) +66
13^58: 1241 U104 (98) +96
13^60: 290 U105 (101) +46
13^62: 1322 U114 (106) +54
13^64: 921 U105 (101) +40
13^66: 315 U102 (100) +50
13^68: 241 U104 (98) +115
13^70: 352 U105 (99) +51
13^72: 55 U102 (98) +9
13^74: 1874 U111 (104) +1616
13^76: 323 U104 (99) +64
13^78: 95 U103 (100) +26
13^80: 1189 U107 (99) +35
13^82: 288 U103 (98) +62
13^84: 69 U103 (101) +50
13^86: 122 U104 (101) +119
13^88: 31 U102 (97) +25
13^90: 20 U102 (100) +13
13^94: 244 U106 (103) +235
13^98: 3 U108 (103) +1
13^102: 10 U113 (98) +4
13^104: 3 U116 (98) +1
13^106: 11 U115 (100) +9

Many of these were already updated before I reported them.

I am now working on all of n=439 testing to the same limit. I'll be done in ~1-2 days.

No reservations.

fivemack 2018-12-04 07:51

I have run 23^8 for rather longer than it probably deserves

kar_bon 2018-12-04 14:43

10^120 terminated

garambois 2018-12-05 17:17

OK, everything is updated, except for 23^8.

Thank you all !

Thank you especially to Karsten Bonath who fixed a bug !

fivemack, would you like me to create base 23 ?
Do you want to make calculations on this base ?
Otherwise, the results will not be lost, because sooner or later, we will create this base...

Thanks

kar_bon 2018-12-05 23:30

Tried to download seqs from factorDB an found this:
3^108 got an error at index 1575:
is:
[code]
1574 . 10536346489696420770680 = 2^3 * 5 * 19 * 23 * 919 * 3067 * 423931 * 504457
1575 . 15539970862145288285320 = 2^3 * 5 * 11 * 23 * 1753 * 15733 * 55677051589
1576 . 24287246194437618095480 = 2^3 * 5 * 7 * 31 * 2861 * 7489 * 130592086759
[/code]

should be:
[code]
1574 . 10536346489696420770680 = 2^3 * 5 * 19 * 23 * 919 * 3067 * 423931 * 504457
1575 . 15540084064757285981320 = 2^3 * 5 * 23 * 181 * 593 * 594161 * 264867167
1576 . 21208836326841958327160 = 2^3 * 5 * 47 * 11281295918532956557
[/code]

Perhaps there're more errors there after last offline/update, only checked for n=2 and 3 yet.

gd_barnes 2018-12-05 23:34

I tested all of n=13 up to size 102 and cofactor 97 (fully ECM'd). Here are the updates:

439^6: 286 U110 (104) +32 iterations
439^10: 822 U103 (99) +38
439^14: 671 U106 (104) +40
439^16: 1489 U108 (101) +1236
439^18: 336 U105 (97) +218
439^20: 2153 U103 (101) +1
439^22: 2069 U104 (97) +1946 (A very wild ride!)
439^24: 230 U105 (97) +160
439^26: 373 U104 (101) +299
439^28: 407 U103 (97) +92
439^30: 80 U106 (99) +5
439^32: 421 U125 (123) +6
439^38: 35 U103 (98) +26
439^40: 13 U104 (100) +11
439^42: 15 U114 (109) +8
439^46: 34 U120 (107) +31


All done with that task. I'm now going to work on some downdrivers. :smile:


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