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-   -   Very Prime Riesel and Sierpinski k (https://www.mersenneforum.org/showthread.php?t=9755)

robert44444uk 2012-01-31 15:47

So here are the offical lists!

Apologies for the fact that the columns do not all line up,and also larger k have only 14 significant places due to Excel limitations.

[CODE]
Sierpinski Riesel
1 1 440841 S 66 1 1 4285 R 12
2 2 846535 S 66 2 2 4285 R 12
3 3 17021391 S 66 3 3 4285 R 12
4 4 47599419 S 66 4 4 35463 R 12
5 5 1937568857 S 66 5 5 116621 R 12
6 6 6769729169 S 52 6 6 116621 R 12
7 7 6769729169 S 52 7 7 1318283 R 12
8 8 6769729169 S 52 8 8 9852011 R 12
9 9 513427745633 S 58 9 9 1353957 R 18
10 10 2605422806599 S 52 10 10 213933499 R 36
11 11 5769236411869 S 52 11 11 3982100443 R 36
12 13 5808288308957 S 52 12 12 85029720714771 R 52
13 14 19464569053169 S 60 13 13 85029720714771 R 52
14 15 19464569053169 S 60 14 16 66622302705377 R 52
15 19 37033967202305 S 58 15 18 39984233659 R 28
16 22 21583913743827 S 52 16 19 39984233659 R 28
17 25 56385874414455 S 58 17 23 3428771 R 28
18 28 6748973546095 S 52 18 28 1159606077 R 28
19 29 6748973546095 S 52 19 31 15145054826747 R 52
20 32 64827158861237 S 58 20 32 15145054826747 R 52
21 33 64827158861237 S 58 21 38 19093867247793 R 58
22 35 64827158861237 S 58 22 41 104169095715013 R 52
23 38 64827158861237 S 58 23 47 12896946016177 R 52
24 47 93749499914869 S 52 24 48 115534069991891 R 52
25 50 25000425620685 S 52 25 55 7142135768985 R 66
26 57 25000425620685 S 52 26 59 1035287318275 R 60
27 64 68247229126023 S 58 27 63 1035287318275 R 60
28 72 36877088213143 S 58 28 67 4467870581 R 36
29 78 5277998474135 S 52 29 72 27838286939021 R 66
30 80 3527441029583 S 52 30 80 19981335621859 R 52
31 84 36877088213143 S 58 31 87 61233200129625 R 52
32 85 36877088213143 S 58 32 89 61233200129625 R 52
33 96 29312484587 S 52 33 91 61233200129625 R 52
34 99 15335838265589 S 52 34 98 370441035 R 36
35 102 15335838265589 S 52 35 101 370441035 R 36
36 109 15335838265589 S 52 36 118 61233200129625 R 52
37 120 3527441029583 S 52 37 124 25551958584589 R 52
38 133 15335838265589 S 52 38 129 61233200129625 R 52
39 142 71681789688525 S 52 39 140 61233200129625 R 52
40 154 36877088213143 S 58 40 146 15733378254423 R 58
41 158 36877088213143 S 58 41 160 19235069 R 28
42 173 391170716069 S 60 42 167 2386891678443 R 60
43 174 3527441029583 S 52 43 180 2386891678443 R 60
44 180 3527441029583 S 52 44 182 2386891678443 R 60
45 186 3527441029583 S 52 45 188 2386891678443 R 60
46 194 3527441029583 S 52 46 204 2386891678443 R 60
47 196 3527441029583 S 52 47 230 118003743277061 R 52
48 261 9525566335345 S 52 48 241 118003743277061 R 52
49 268 38988807163555 S 52 49 265 118003743277061 R 52
50 270 38988807163555 S 52 50 283 68947905359543 R 60
51 272 38988807163555 S 52 51 287 73807093031125 R 52
52 302 38988807163555 S 52 52 295 73807093031125 R 52
53 304 38988807163555 S 52 53 338 83141430628207 R 52
54 308 38988807163555 S 52 54 349 85132812172945 R 52
55 327 38988807163555 S 52 55 365 85132812172945 R 52
56 331 38988807163555 S 52 56 388 83141430628207 R 52
57 410 29732764305757 S 52 57 389 83141430628207 R 52
58 417 29732764305757 S 52 58 410 11918703180751 R 60
59 428 9918767791013 S 52 59 466 195937921823 R 52
60 479 29732764305757 S 52 60 513 626299348811 R 66
61 533 29732764305757 S 52 61 546 4967391175523 R 52
62 551 35578296845517 S 58 62 589 4967391175523 R 52
63 569 29732764305757 S 52 63 607 20392926558493 R 52
64 616 83158071977105 S 58 64 660 11918703180751 R 60
65 635 83158071977105 S 58 65 666 11918703180751 R 60
66 709 35578296845517 S 58 66 683 11918703180751 R 60
67 732 35578296845517 S 58 67 738 11918703180751 R 60
68 738 35578296845517 S 58 68 776 67839830084211 R 60
69 769 35578296845517 S 58 69 819 42788306462971 R 60
70 810 35578296845517 S 58 70 831 42788306462971 R 60
71 916 71396794252893 S 52 71 918 23249195384497 R 60
72 944 71396794252893 S 52 72 933 19122572047641 R 52
73 951 71396794252893 S 52 73 948 147707435198851 R 52
74 1034 71396794252893 S 52 74 972 147707435198851 R 52
75 1145 71396794252893 S 52 75 1010 147707435198851 R 52
76 1208 13223354076641 S 52 76 1119 67839830084211 R 60
77 1229 13223354076641 S 52 77 1164 30921565622401 R 52
78 1332 1244513437798920 S 100 78 1210 67839830084211 R 60
79 1456 12281895484447 S 60 79 1280 67839830084211 R 60
80 1487 10068624641847 S 66 80 1491 28121720146621 R 66
81 1565 5629710597113 S 52 81 1531 22988492280293 R 58
82 1602 80265183092801 S 52 82 1594 28121720146621 R 66
83 1662 80265183092801 S 52 83 1597 28121720146621 R 66
84 1691 5629710597113 S 52 84 1726 28121720146621 R 66
85 1769 5629710597113 S 52 85 1847 22988492280293 R 58
86 1861 1108828374241 S 52 86 1871 67839830084211 R 60
87 1880 1108828374241 S 52 87 1892 67839830084211 R 60
88 1892 1108828374241 S 52 88 2070 22988492280293 R 58
89 1946 1108828374241 S 52 89 2193 34366743655013 R 52
90 1951 1108828374241 S 52 90 2279 40210975621077 R 82
91 1971 1108828374241 S 52 91 2370 22988492280293 R 58
92 2044 1108828374241 S 52 92 2517 34366743655013 R 52
93 2130 1108828374241 S 52 93 2640 22988492280293 R 58
94 2150 1108828374241 S 52 94 2724 34366743655013 R 52
95 2227 1108828374241 S 52 95 2906 39672235877965 R 52
96 2328 1108828374241 S 52 96 3078 39672235877965 R 52
97 2393 1108828374241 S 52 97 3324 34366743655013 R 52
98 3028 73647651306083 S 52 98 3447 39672235877965 R 52
99 3081 73647651306083 S 52 99 3503 39672235877965 R 52
100 3167 73647651306083 S 52 100 3556 34366743655013 R 52
101 3289 1108828374241 S 52 101 3943 34366743655013 R 52
102 3405 1108828374241 S 52 102 4463 39672235877965 R 52
103 3436 1108828374241 S 52 103 4481 39672235877965 R 52
104 3450 1108828374241 S 52 104 4559 39672235877965 R 52
105 3722 1108828374241 S 52 105 4976 39672235877965 R 52
106 3833 1108828374241 S 52 106 4985 39672235877965 R 52
107 4172 1108828374241 S 52 107 5232 39672235877965 R 52
108 4227 1108828374241 S 52 108 5409 39672235877965 R 52
109 4337 1108828374241 S 52 109 5840 39672235877965 R 52
110 4495 1108828374241 S 52 110 5953 39672235877965 R 52
111 7362 73647651306083 S 52 111 5996 39672235877965 R 52
112 7365 73647651306083 S 52 112 6159 39672235877965 R 52
113 8024 80265183092801 S 52 113 6213 39672235877965 R 52
114 8125 80265183092801 S 52 114 6218 39672235877965 R 52
115 8660 38509279982485 S 66 115 6872 39672235877965 R 52
116 8661 38509279982485 S 66 116 7388 39672235877965 R 52
117 8777 38509279982485 S 66 117 7523 39672235877965 R 52
118 9463 73647651306083 S 52 118 7600 39672235877965 R 52
119 9626 73647651306083 S 52 119 7799 39672235877965 R 52
120 10253 38509279982485 S 66 120 9283 39672235877965 R 52
121 11239 38509279982485 S 66 121 9793 39672235877965 R 52
122 11892 38509279982485 S 66 122 12865 333810595227339 R 106
123 12302 38509279982485 S 66 123 13208 333810595227339 R 106
124 12728 38509279982485 S 66 124 14027 333810595227339 R 106
125 14043 38509279982485 S 66 125 17542 21013492486553 R 66
126 14346 38509279982485 S 66 126 18270 21013492486553 R 66
127 15589 38509279982485 S 66 127 18954 21013492486553 R 66
128 15781 38509279982485 S 66 128 19034 21013492486553 R 66
129 15840 38509279982485 S 66 129 20795 211199705992169 R 100
130 15863 38509279982485 S 66 130 20852 211199705992169 R 100
131 17172 38509279982485 S 66 131 22844 211199705992169 R 100
132 18722 38509279982485 S 66 132 23235 211199705992169 R 100
133 18869 38509279982485 S 66 133 23248 211199705992169 R 100
134 19198 38509279982485 S 66 134 23358 211199705992169 R 100
135 20318 38509279982485 S 66 135 27644 40210975621077 R 82
136 20386 38509279982485 S 66 136 28785 211199705992169 R 100
137 20945 38509279982485 S 66 137 30128 211199705992169 R 100
138 21915 38509279982485 S 66 138 30480 211199705992169 R 100
139 37658 26465530345417 S 66 139 30929 211199705992169 R 100
140 38870 26465530345417 S 66 140 41892 67839830084211 R 60
141 41219 26465530345417 S 66 141 42070 67839830084211 R 60
142 41687 26465530345417 S 66 142 46948 37592143853 R 66
143 49380 26465530345417 S 66 143 47930 37592143853 R 66
144 49642 26465530345417 S 66 144 49351 12252904929299 R 66
145 53941 3488826124671 S 58 145 53717 211199705992169 R 100
146 56958 26465530345417 S 66 146 64050 677709313826537 R 100
147 59441 732478130807511 S 106 147 68376 37592143853 R 66
148 63389 16196964114523 S 58 148 70169 638621868573 R 60
149 71777 732478130807511 S 106 149 73685 638621868573 R 60
150 74661 16196964114523 S 58 150 77167 638621868573 R 60
151 75428 16196964114523 S 58 151 80961 638621868573 R 60
152 76167 16196964114523 S 58 152 84012 638621868573 R 60
153 77445 16196964114523 S 58 153 100101 638621868573 R 60
154 78644 16196964114523 S 58 154 107726 638621868573 R 60
155 85687 16196964114523 S 58 155 118186 638621868573 R 60
156 86006 16196964114523 S 58 156 121601 638621868573 R 60
157 93804 1061615018040260 S 106 157 143629 638621868573 R 60
158 95487 16196964114523 S 58 158 164463 638621868573 R 60
159 99803 1061615018040260 S 106 159 169447 638621868573 R 60
160 101785 1061615018040260 S 106 160 195317 638621868573 R 60
161 114253 1061615018040260 S 106 161 202473 638621868573 R 60
162 124847 1323953181459700 S 100 162 233805 638621868573 R 60
163 129579 1323953181459700 S 100
164 138180 1323953181459700 S 100
165 139073 1323953181459700 S 100
166 141481 1323953181459700 S 100
167 146354 1323953181459700 S 100
168 158967 1323953181459700 S 100
169 172886 1323953181459700 S 100
170 212402 12034494960083 S 66
171 218813 1323953181459700 S 100
172 347004 1323953181459700 S 100

[/CODE]

Thomas11 2012-01-31 16:25

Thanks for the full list, Robert!

It seems that I haven't properly updated the combined Sierpinski table, as contained in the ZIP file.

The following lines should be replaced:

139 31319 38509279982485 S 66
140 32074 38509279982485 S 66
141 32695 38509279982485 S 66
142 37385 38509279982485 S 66
143 37622 38509279982485 S 66
144 39501 38509279982485 S 66
145 46844 38509279982485 S 66

And I made a little progress for the S178 sequence, resulting in 3 new primes:

132 30493 1800486885279425 S 178
133 38148 1800486885279425 S 178
134 38295 1800486885279425 S 178

While this is about 10 primes behind the above S66 sequence, it still outperforms the best known S130, S138, and S162 sequences.
Thus, I will continue this one a little further...

Thomas11 2012-02-08 09:52

So far I've tested the sequence S66 38509279982485 to n=100k.
While it sets a new record at 156/85000, there was no other prime above this level, and it ends only with the third best Sierpinski score: 156/100000. Thus, the record is still at 159/100000. (I really hoped for the magic 160/100000...)

Here are the improvements to the recordtable:

146 52420 38509279982485 S 66
147 52912 38509279982485 S 66
148 56187 38509279982485 S 66
149 58384 38509279982485 S 66
150 60027 38509279982485 S 66
151 60226 38509279982485 S 66
152 64809 38509279982485 S 66
153 67699 38509279982485 S 66
154 75368 38509279982485 S 66
155 81028 38509279982485 S 66
156 84524 38509279982485 S 66

robert44444uk 2012-02-11 09:28

But still miles ahead than the best Riesel at n=100000

robert44444uk 2012-02-15 18:19

Nothing much to report. Now I have moved to E82 I don't suppose I will be breaking any absolute records for a while.

But I did reach one milestone - 2,500 very prime Riesel k.

The breakdown by number of primes at n=10,000

[CODE]
100 646
101 509
102 378
103 280
104 222
105 147
106 101
107 91
108 51
109 25
110 24
111 11
112 4
113 5
114 4
115 1
121 1
[/CODE]

Thomas11 2012-02-16 21:09

Here comes a similar list for the Sierpinski side.
In total I've found 5291 Sierpinski VPS so far (including 73 already known and "re-discovered" during my search).

[CODE]
100 1426
101 1113
102 866
103 615
104 399
105 316
106 203
107 139
108 89
109 53
110 30
111 20
112 10
113 5
114 4
115 1
118 1
119 1
[/CODE]

pinhodecarlos 2012-02-17 11:10

Thomas was kind enough to help me start on running E=66 from Riesel side. I'll keep you inform of the progress.

I just don't understand the speed discrepancy between iterations, like:
core 0 - start iteration 20, ~300 payam/sec
core 1 - start iteration 40, ~600 payam/sec
core 2 - start iteration 60, ~600 payam/sec
core 3 - start iteration 80, ~600 payam/sec

Thank you.

Carlos Pinho

Thomas11 2012-02-17 11:42

[QUOTE=pinhodecarlos;289687]
I just don't understand the speed discrepancy between iterations...[/QUOTE]

The indicated speed is an average over the number of payams tested so far.
It should equalize after a few hours. The slower speed of you first client is just an indication that it already found a "better" sequence than the other ones. (The recordtable might be be somewhat longer).

The software tests each payam sequence through different levels (Nash sieve and "Smith check"). If it survives a given level, it's taken to the next one, and so on. A successful candidate (e.g. one with 100+ primes up to n=10,000) may take about 10 minutes. Note, that during those 10 minutes you will not notice any screen output, so that the software might appear "frozen", but it isn't! After a successful candidate is found you will also notice a significant drop in the indicated speed.

Thomas11 2012-02-17 13:26

1 Attachment(s)
I created a new 64bit binary optimized for the "Nehalem" cpu architecture.
However, since I do not own such a cpu, I cannot test it.

It should run on i3, i5, and i7 cpus and is perhaps a bit faster than the Core2 binary.

pinhodecarlos 2012-02-17 13:28

Will the software start from last checkpoint if there is one?

Thomas11 2012-02-17 13:38

[QUOTE=pinhodecarlos;289703]Will the software start from last checkpoint if there is one?[/QUOTE]

Yes, the "progress.txt" file is updated every minute.
So after stopping it automatically restarts from where it was interrupted.


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