Very Prime Riesel and Sierpinski k - Page 46

f1pokerspeed · 2013-05-30, 10:21

Ah, whoops - darn... I looked in the champions list on your website and saw the M[x] value, thinking that was all there was... ah well, I'll find another one. I'm trying not to extend too far due to the fact that I only have limited resources... maybe I'll find my own or something. Is there a list of pre-checked ranges anywhere so I don't overlap work on any E levels?

robert44444uk · 2013-05-30, 12:44

Quote:

Originally Posted by f1pokerspeed

Ah, whoops - darn... I looked in the champions list on your website and saw the M[x] value, thinking that was all there was... ah well, I'll find another one. I'm trying not to extend too far due to the fact that I only have limited resources... maybe I'll find my own or something. Is there a list of pre-checked ranges anywhere so I don't overlap work on any E levels?

Grateful for your computer time. Safe area (no overlap) would be Riesel E52 for iteration 100 onwards. You will find plenty of VPS and a real chance to beat some records. I think the eventual k to check beyond n=10000 would be small enough for LLR as well.

This would use the payam2.exe code - see the thread for details on use.

Payam2.exe is amazing code and expects two files to start: in.txt and progress.txt. It outputs two files- one with the VPS and one with the record table.

The in.txt file might look like:

Code:

maxn 10000
hashsize 65536
sievelimit 134217728
timesave 60
boundforquickcheck 4096
vpscount 100
nashsievelimit 500

c0 1.5
c1 5.0
nash_check 1
number_of_sievebits 7
11 64
13 128
15 256
18 512
21 1024
24 2048
27 4096

smith_check 1
number_of_levels 18
9 50
17 100
25 200
32 300
38 400
43 500
51 750
57 1000
64 1500
69 2000
73 2500
77 3000
82 4000
87 5000
91 6000
94 7000
97 8000
99 9000

The progress.txt file would look like:

Code:

c -1
E 52
iteration 100
I 0
maxiter 401776
maxI 0

Here are the records for E52:

Code:

1	1	73211	R	52
2	2	85307	R	52
3	3	85307	R	52
4	4	11746227	R	52
5	5	35664793	R	52
6	6	35664793	R	52
7	7	3863302393	R	52
8	8	63502511737	R	52
9	9	333372044267	R	52
10	10	1688812151199	R	52
11	11	8581408158265	R	52
12	12	85029720714771	R	52
13	13	85029720714771	R	52
14	16	66622302705377	R	52
15	20	12704913755509	R	52
16	21	42030214559317	R	52
17	24	42030214559317	R	52
18	28	1528744854411	R	52
19	31	15145054826747	R	52
20	32	15145054826747	R	52
21	38	104169095715013	R	52
22	41	104169095715013	R	52
23	47	12896946016177	R	52
24	48	115534069991891	R	52
25	56	61290475771413	R	52
26	60	82960601561481	R	52
27	65	19036059142637	R	52
28	68	19036059142637	R	52
29	75	15969072785755	R	52
30	80	19981335621859	R	52
31	87	61233200129625	R	52
32	89	61233200129625	R	52
33	91	61233200129625	R	52
34	105	61233200129625	R	52
35	109	61233200129625	R	52
36	118	61233200129625	R	52
37	124	25551958584589	R	52
38	129	61233200129625	R	52
39	140	61233200129625	R	52
40	152	15969072785755	R	52
41	162	15969072785755	R	52
42	173	15969072785755	R	52
43	187	6684715747071	R	52
44	193	15969072785755	R	52
45	213	32267720829105	R	52
46	223	118003743277061	R	52
47	230	118003743277061	R	52
48	241	118003743277061	R	52
49	265	118003743277061	R	52
50	284	73807093031125	R	52
51	287	73807093031125	R	52
52	295	73807093031125	R	52
53	338	83141430628207	R	52
54	349	85132812172945	R	52
55	365	85132812172945	R	52
56	388	83141430628207	R	52
57	389	83141430628207	R	52
58	439	195937921823	R	52
59	466	195937921823	R	52
60	517	20392926558493	R	52
61	546	4967391175523	R	52
62	589	4967391175523	R	52
63	607	20392926558493	R	52
64	660	19122572047641	R	52
65	720	13104423571343	R	52
66	745	195937921823	R	52
67	764	195937921823	R	52
68	799	195937921823	R	52
69	856	39672235877965	R	52
70	871	39672235877965	R	52
71	923	147707435198851	R	52
72	933	19122572047641	R	52
73	948	147707435198851	R	52
74	972	147707435198851	R	52
75	1010	147707435198851	R	52
76	1126	147707435198851	R	52
77	1164	30921565622401	R	52
78	1323	60553961574993	R	52
79	1396	30921565622401	R	52
80	1499	60553961574993	R	52
81	1555	30921565622401	R	52
82	1626	30921565622401	R	52
83	1702	39672235877965	R	52
84	1752	30921565622401	R	52
85	1951	34366743655013	R	52
86	1964	34366743655013	R	52
87	2060	34366743655013	R	52
88	2074	34366743655013	R	52
89	2193	34366743655013	R	52
90	2379	34366743655013	R	52
91	2424	34366743655013	R	52
92	2517	34366743655013	R	52
93	2674	34366743655013	R	52
94	2724	34366743655013	R	52
95	2906	39672235877965	R	52
96	3078	39672235877965	R	52
97	3324	34366743655013	R	52
98	3447	39672235877965	R	52
99	3503	39672235877965	R	52
100	3556	34366743655013	R	52
101	3943	34366743655013	R	52
102	4463	39672235877965	R	52
103	4481	39672235877965	R	52
104	4559	39672235877965	R	52
105	4976	39672235877965	R	52
106	4985	39672235877965	R	52
107	5232	39672235877965	R	52
108	5409	39672235877965	R	52
109	5840	39672235877965	R	52
110	5953	39672235877965	R	52
111	5996	39672235877965	R	52
112	6159	39672235877965	R	52
113	6213	39672235877965	R	52
114	6218	39672235877965	R	52
115	6872	39672235877965	R	52
116	7388	39672235877965	R	52
117	7523	39672235877965	R	52
118	7600	39672235877965	R	52
119	7799	39672235877965	R	52
120	9283	39672235877965	R	52
121	9793	39672235877965	R	52
122	13875	39672235877965	R	52
123	16026	39672235877965	R	52
124	16560	39672235877965	R	52
125	18536	39672235877965	R	52
126	19533	39672235877965	R	52
127	20721	39672235877965	R	52
128	22126	39672235877965	R	52
129	23394	39672235877965	R	52
130	24653	39672235877965	R	52
131	25560	34366743655013	R	52
132	28892	34366743655013	R	52
133	28919	34366743655013	R	52
134	29566	34366743655013	R	52
135	29924	34366743655013	R	52
136	31201	34366743655013	R	52
137	32790	34366743655013	R	52
138	40567	39672235877965	R	52
139	42384	39672235877965	R	52
140	56415	39672235877965	R	52

f1pokerspeed · 2013-05-30, 23:09

I don't have GMP compiled or anything like that, so - unless I did that - I'd only be able to use v1 code. Do you have a compiled Windows x64 w/ AVX binary I could use (preferably), or whatever is available?

Thanks,

James

robert44444uk · 2013-05-31, 09:02

Quote:

Originally Posted by f1pokerspeed

I don't have GMP compiled or anything like that, so - unless I did that - I'd only be able to use v1 code. Do you have a compiled Windows x64 w/ AVX binary I could use (preferably), or whatever is available?

Thanks,

James

The Windows 64 file is in the attached zip. You should run from the dos console. (these days called "command prompt" in "accessories"

f1pokerspeed · 2013-05-31, 09:42

Thanks. For the in.txt file, do I need to set those bounds to the payams that have the required number of primes at those candidate levels?

robert44444uk · 2013-05-31, 14:28

Quote:

Originally Posted by f1pokerspeed

Thanks. For the in.txt file, do I need to set those bounds to the payams that have the required number of primes at those candidate levels?

That is already done for you with the Smith check, and the max n and the VPS count.

The output will be a record file with the best performance at any level of p, and results file with VPS, i.e. 100 primes before n=10000

f1pokerspeed · 2013-05-31, 23:12

Thanks for the information.

Should I use specific bounds for the iteration and Imax values?

robert44444uk · 2013-06-01, 14:14

Quote:

Originally Posted by f1pokerspeed

Thanks for the information.

Should I use specific bounds for the iteration and Imax values?

Only if you want to run on more than one core, and you don't want to run the risk of overrunning a range.

I'm doing the range 80 to 100 at the moment on M52.

Robert

robert44444uk · 2013-06-22, 05:11

A new best Riesel performer at higher p:

Candidate: 22544089918041953 R 130

147 46170
148 46787
149 47920
150 49784
151 53246
152 55579
153 59638
154 60260
155 64574

I'll probably run this up to 150K

robert44444uk · 2013-06-23, 03:22

The new performer continues to do well - at n= 86590 now

156 67190
157 67470
158 71221
159 73142
160 77776
161 80678
162 84684

This becomes the second VPS to break the 159/100000 barrier and is currently 6 primes ahead of the next best Riesel.

Another candidate broke the previous records for 146 and 147 primes (the latter only set yesterday) but faded overnight

Candidate 24967589597968379 R 106

Riesel records:

146 40418
147 41490

robert44444uk · 2013-06-25, 16:04

All the higher Riesel records have been smashed with the new candidate, now at 170 primes by n=117955. To note, 169 and 170 are really close, but not a Sophie Germain pair.

163 87557
164 96045
165 102231
166 102651
167 104202
168 104655
169 111235
170 111239

2013-06-23, 03:22	#505
robert44444uk Jun 2003 Suva, Fiji 2³×3×5×17 Posts	The new performer continues to do well - at n= 86590 now 156 67190 157 67470 158 71221 159 73142 160 77776 161 80678 162 84684 This becomes the second VPS to break the 159/100000 barrier and is currently 6 primes ahead of the next best Riesel. Another candidate broke the previous records for 146 and 147 primes (the latter only set yesterday) but faded overnight Candidate 24967589597968379 R 106 Riesel records: 146 40418 147 41490 Last fiddled with by robert44444uk on 2013-06-23 at 03:27

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2013-05-30, 10:21	#496
f1pokerspeed Jun 2012 152₈ Posts	Ah, whoops - darn... I looked in the champions list on your website and saw the M[x] value, thinking that was all there was... ah well, I'll find another one. I'm trying not to extend too far due to the fact that I only have limited resources... maybe I'll find my own or something. Is there a list of pre-checked ranges anywhere so I don't overlap work on any E levels?

2013-05-30, 23:09	#498
f1pokerspeed Jun 2012 2·53 Posts	I don't have GMP compiled or anything like that, so - unless I did that - I'd only be able to use v1 code. Do you have a compiled Windows x64 w/ AVX binary I could use (preferably), or whatever is available? Thanks, James

2013-05-31, 09:42	#500
f1pokerspeed Jun 2012 2×53 Posts	Thanks. For the in.txt file, do I need to set those bounds to the payams that have the required number of primes at those candidate levels?

2013-05-31, 23:12	#502
f1pokerspeed Jun 2012 2×53 Posts	Thanks for the information. Should I use specific bounds for the iteration and Imax values?

2013-06-22, 05:11	#504
robert44444uk Jun 2003 Suva, Fiji 2³·3·5·17 Posts	A new best Riesel performer at higher p: Candidate: 22544089918041953 R 130 147 46170 148 46787 149 47920 150 49784 151 53246 152 55579 153 59638 154 60260 155 64574 I'll probably run this up to 150K

2013-06-25, 16:04	#506
robert44444uk Jun 2003 Suva, Fiji 11111111000₂ Posts	All the higher Riesel records have been smashed with the new candidate, now at 170 primes by n=117955. To note, 169 and 170 are really close, but not a Sophie Germain pair. 163 87557 164 96045 165 102231 166 102651 167 104202 168 104655 169 111235 170 111239