mersenneforum.org  

Go Back   mersenneforum.org > Factoring Projects > Aliquot Sequences

Reply
 
Thread Tools
Old 2022-08-16, 00:04   #705
gd_barnes
 
gd_barnes's Avatar
 
May 2007
Kansas; USA

11,353 Posts
Default

Here are updated lists of same-parity sequences with current size < 150 digits, no known factor, and large smallest factor. There are some new sequences from the last lists since they now include all starting size <= 185.

Current size < 150 digits (all fully ECM'd):
Code:
75^93: 147/143/11
271^65: 147/146/3
30^106: 148/138/3
28^110: 148/144/7
109^81: 149/144/7
20^118: 149/149/3
We really worked this list down since last time. :-)

No known factor (ECM to t45):
Code:
131^87: 171/171
92^90: 173/173
Smallest factor > 1e7 (ECM-level shown last):
Code:
77^85: 156/146/1.04E+10/full
93^81: 157/149/1.90E+07/full
223^71: 159/152/3.08E+07/t45
23^119: 160/146/5.21E+13/full
1250^53: 165/141/6.61E+23/full
83^95: 165/147/2.38E+18/full
39^109: 165/155/6.64E+09/t45
197^75: 169/145/2.64E+23/full
722^59: 169/153/1.07E+16/t45
167^81: 176/149/2.21E+10/full
84^96: 183/158/3.92E+24/t45
119^89: 184/145/9.91E+10/full
10 out of 12 of these will drop in current size to their cofactor size after splitting. 1250^53 is by far the easiest. I may take it in the next couple of days.

Last fiddled with by EdH on 2022-08-16 at 02:17 Reason: add < 150 digits list
gd_barnes is offline   Reply With Quote
Old 2022-08-16, 00:33   #706
EdH
 
EdH's Avatar
 
"Ed Hall"
Dec 2009
Adirondack Mtns

2×3×5×163 Posts
Default

I have started on 92^90 and sieving is supposed to be done on Wednesday, but this will extend at least an extra day.

Thanks for all the lists. I will study them and see where we get. I am going to be tied up with very little time for updates, etc. on and off this week. I'll jump on when I can.
EdH is offline   Reply With Quote
Old 2022-08-16, 00:53   #707
gd_barnes
 
gd_barnes's Avatar
 
May 2007
Kansas; USA

101100010110012 Posts
Default

I added the < 150 digits current size list to my last post. I forgot the most obvious one.

Any place in my last few posts where I said opposite-parity, I meant same-parity. Also, the final statement in the last post should say:
10 out of 12 of these will drop in current size to their cofactor size after splitting.

Last fiddled with by gd_barnes on 2022-08-16 at 01:52
gd_barnes is offline   Reply With Quote
Old 2022-08-16, 02:24   #708
EdH
 
EdH's Avatar
 
"Ed Hall"
Dec 2009
Adirondack Mtns

2·3·5·163 Posts
Default

Quote:
Originally Posted by gd_barnes View Post
. . .
Any place in my last few posts where I said opposite-parity, I meant same-parity. Also, the final statement in the last post should say:
10 out of 12 of these will drop in current size to their cofactor size after splitting.
I changed all these references for clarity in the previous posts.
EdH is offline   Reply With Quote
Old 2022-08-16, 02:27   #709
VBCurtis
 
VBCurtis's Avatar
 
"Curtis"
Feb 2005
Riverside, CA

10101011001002 Posts
Default

I have factored:
57^99 C141
65^97 C142
113^87 C138

Factors are posted to factordb. My work continues on the list Ed posted in #684.
VBCurtis is offline   Reply With Quote
Old 2022-08-16, 07:48   #710
gd_barnes
 
gd_barnes's Avatar
 
May 2007
Kansas; USA

11,353 Posts
Default

To give us a better idea of how far we've come, below is a list of bases that have had all of their same-parity sequences terminated.
Code:
2
3
5
6
7
10
11
12
13
14
15
31
41
42
43
50
53
59
70
71
73
79
242
251*
263*
281*
293*
306
439
450
496
578
800
968
8128
8191
14536
15015
15472
524287**
82589933
223092870
2147483647**
10000000019
* Recently initialized small bases: 102, 104, 120, 251, 257, 263, 269, 271, 277, 281, 283, 293
** Recently initialized large bases: 1352, 131071, 524287, 2147483647

Breakdown:
Bases currently on web page:
38 / 173 = 22%
Recently initialized small bases:
4 / 12 = 33%
Recently initialized large bases:
2 / 4 = 50%

Total:
44 bases completed out of 189 total bases = 23%

This was not an easy list to compile since I only keep a spreadsheet of sequences and bases remaining not ones completed. I'd certainly welcome any scrutiny.
gd_barnes is offline   Reply With Quote
Old 2022-08-16, 09:30   #711
gd_barnes
 
gd_barnes's Avatar
 
May 2007
Kansas; USA

11,353 Posts
Default

120^88 terminates
gd_barnes is offline   Reply With Quote
Old 2022-08-16, 11:45   #712
EdH
 
EdH's Avatar
 
"Ed Hall"
Dec 2009
Adirondack Mtns

114328 Posts
Default

Quote:
Originally Posted by VBCurtis View Post
I have factored:
57^99 C141
65^97 C142
113^87 C138

Factors are posted to factordb. My work continues on the list Ed posted in #684.
Thanks! Those sequences will update in my list, but they are now outside your interest range. 57^99 may be of interest to Gary. I'll pull them from the reservations block in post #1.
Quote:
Originally Posted by gd_barnes View Post
. . .
This was not an easy list to compile since I only keep a spreadsheet of sequences and bases remaining not ones completed. I'd certainly welcome any scrutiny.
I normally pull completed bases from my scripts to save some time. I'm probably not going to have a chance today, but maybe tomorrow I'll run a full list, but it is affected by reservations so it may not be totally accurate, either.
EdH is offline   Reply With Quote
Old 2022-08-16, 12:14   #713
gd_barnes
 
gd_barnes's Avatar
 
May 2007
Kansas; USA

101100010110012 Posts
Default

Quote:
Originally Posted by EdH View Post
Thanks! Those sequences will update in my list, but they are now outside your interest range. 57^99 may be of interest to Gary.<snip>
I did my usual thing on all 3 after I saw his post. 57^99 advanced one more iteration after his effort. It scores pretty well but there are others still that are better so I won't mess with it for now. The C129 was easy to give it full ECM. The others didn't do anything and got t40 on the C159 and t35 on the C163 respectively.

I'm working on 109^89. That C138 is a pain but it should terminate later today.

Last fiddled with by gd_barnes on 2022-08-16 at 12:18
gd_barnes is offline   Reply With Quote
Old 2022-08-16, 14:18   #714
gd_barnes
 
gd_barnes's Avatar
 
May 2007
Kansas; USA

11,353 Posts
Default

109^89 terminates
gd_barnes is offline   Reply With Quote
Old 2022-08-16, 22:59   #715
gd_barnes
 
gd_barnes's Avatar
 
May 2007
Kansas; USA

1135310 Posts
Default

The following post 1 reservations were impacted by my recent effort to ECM/initialize everything up to starting size 185:

107^91: was 182/139 now 178/177
193^79: was 175/139 now 165/163
33550336^24: was 181/143 now 181/135
151^83: was 172/144 now 170/153
162^83: was 184/144 now 184/132

These were not reserved at the starting time of my effort, which completed a bit over a day ago. Only the C140s/C141s were reserved at that time. Hopefully there is not too much inconvenience.

Mike, the above had previously had no ECM. There are still some in the list with starting size > 185 digits that have had none. Just thought I'd make you aware.
gd_barnes is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Unexpected termination of PM-1 Miszka Software 22 2021-11-19 21:36
Easier pi(x) approximation mathPuzzles Math 8 2017-05-04 10:58
Would finding a definate Pi value easier if... xtreme2k Math 34 2013-09-09 23:54
Aliquot Termination Question - Largest Prime? EdH Aliquot Sequences 6 2010-04-06 00:12
A new termination below 100k 10metreh Aliquot Sequences 0 2010-03-11 18:24

All times are UTC. The time now is 06:14.


Fri Sep 30 06:14:21 UTC 2022 up 43 days, 3:42, 0 users, load averages: 1.33, 1.03, 0.98

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2022, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.

≠ ± ∓ ÷ × · − √ ‰ ⊗ ⊕ ⊖ ⊘ ⊙ ≤ ≥ ≦ ≧ ≨ ≩ ≺ ≻ ≼ ≽ ⊏ ⊐ ⊑ ⊒ ² ³ °
∠ ∟ ° ≅ ~ ‖ ⟂ ⫛
≡ ≜ ≈ ∝ ∞ ≪ ≫ ⌊⌋ ⌈⌉ ∘ ∏ ∐ ∑ ∧ ∨ ∩ ∪ ⨀ ⊕ ⊗ 𝖕 𝖖 𝖗 ⊲ ⊳
∅ ∖ ∁ ↦ ↣ ∩ ∪ ⊆ ⊂ ⊄ ⊊ ⊇ ⊃ ⊅ ⊋ ⊖ ∈ ∉ ∋ ∌ ℕ ℤ ℚ ℝ ℂ ℵ ℶ ℷ ℸ 𝓟
¬ ∨ ∧ ⊕ → ← ⇒ ⇐ ⇔ ∀ ∃ ∄ ∴ ∵ ⊤ ⊥ ⊢ ⊨ ⫤ ⊣ … ⋯ ⋮ ⋰ ⋱
∫ ∬ ∭ ∮ ∯ ∰ ∇ ∆ δ ∂ ℱ ℒ ℓ
𝛢𝛼 𝛣𝛽 𝛤𝛾 𝛥𝛿 𝛦𝜀𝜖 𝛧𝜁 𝛨𝜂 𝛩𝜃𝜗 𝛪𝜄 𝛫𝜅 𝛬𝜆 𝛭𝜇 𝛮𝜈 𝛯𝜉 𝛰𝜊 𝛱𝜋 𝛲𝜌 𝛴𝜎𝜍 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔