Very Prime Riesel and Sierpinski k

[R. Gerbicz]

Originally Posted by Thomas11

BTW.: I haven't found any VPS for E=130 and E=138 so far. I know that they become quite rare with increasing E. But I'm a bit concerned about the "smith_check" levels. Should I relax those constrains a bit? E.g. there is a Riesel 97/10000 candidate I found earlier, which would have been thrown out already at the "10 50" level but otherwise would have survived the "smith_check" at all other (higher) levels.

You can also disable the whole "smith check" if you change the in.txt file line's to "smith_check 0". It will be slower but produce more solutions, the problem here is to maximize the number of found solutions/day, and this is far from trivial.

The other option is to edit the table by changing say "10 50" to for example "8 50". (By this the code will be also slower but produce a little more solutions.)

[robert44444uk]

Originally Posted by Thomas11

BTW.: I haven't found any VPS for E=130 and E=138 so far. I know that they become quite rare with increasing E. But I'm a bit concerned about the "smith_check" levels. Should I relax those constrains a bit? E.g. there is a Riesel 97/10000 candidate I found earlier, which would have been thrown out already at the "10 50" level but otherwise would have survived the "smith_check" at all other (higher) levels.

You should definitely lower the smith_check levels for 130 onwards if you want to find VPS. Here the series have fewer primes at low n and more at higher n.

For 130 my smith_check table looked as follows:

7 50
13 100
21 200
32 500
53 1000
65 2000
73 3000
89 6000

Look at my paper for prime frequencies at varying levels, this should help guide you on selecting the most appropriate levels.

[robert44444uk]

Originally Posted by Thomas11

I was quite excited when I hit a "116/10000", but unfortunately this one was already discovered earlier (S 2158430601663 66). So the highest unknown one is a still quite nice 110/10000 (S 5475497492533 58).

This the record holder! You can get excited if you find another or 116+ because that will be new

[robert44444uk]

Originally Posted by Thomas11

Meanwhile the number of VPS sequences from my end has increased to 116, out of which 80 are new. They are attached to this post, sorted by E and y.
By factorizing the y values I've found that two of them are indeed candidates of the next higher E series (one 60 -> 66, and the other one 66 -> 82). They are indicated in the file (at the rightmost column).

OK one of these was a duplicate, after restating.

I have posted all of your new values, except the 130, so can you include this in your next file you send, which should exclude the values in the posted file.

The results to date (combined R & S)

primes total 52 58 60 66 82 100 106 130 138
100 181 43 39 35 30 22 7 3 0 1
101 127 22 25 28 28 19 3 1 1 0
102 83 11 16 15 22 12 4 1 1 0
103 70 11 15 20 14 7 0 1 2 0
104 52 10 8 13 14 4 2 1 0 0 
105 34 6 7 7 6 6 1 1 0 0 
106 21 2 3 4 8 3 1 0 0 0 
107 15 2 4 4 4 1 0 0 0 0
108 4 0 0 2 1 0 0 0 0 0 
109 4 1 0 0 3 0 0 0 0 0
110 2 0 1 1 0 0 0 0 0 0
111 0 0 0 0 0 0 0 0 0 0
112 1 0 0 0 1 0 0 0 0 0
113 1 0 0 1 0 0 0 0 0 0 
tot 595 108 118 130 131 74 18 8 4 1

[robert44444uk]

Thinking ahead a bit, can anyone write a dos code for cllr.exe and cnewpgen.exe or its pfgw equivalent to work together without intervention, so that we can automate >10000 checking.

An input file will look like:

S 179782224211057 130 K=11806316649721727826033357267756435645

And the automated file will allow checking from n min to n max, with appropriate upper limit for p in cnewpgen.exe, output of prp-3 will go into a results file for each candidate. The output file name might be S_179782_130_[nmin]_n[max]_[# of primes found].txt and the file contents the value of prime n.

Or perhaps a c code, in a dos shell, that does the same trick.

[robert44444uk]

Below is a definitive list of payam racing records, which combines the old lists above with the new findings since Robert's program was written. It is short any information from Thomas 11 or R Gerbicz's finds on the Sierpinski side

	Overall	S	R
1	1	1	1
2	2	2	2
3	3	3	3
4	4	4	4
5	5	5	5
6	6	6	6
7	7	7	7
8	8	8	8
9	9	9	9
10	10	10	10
11	11	12	11
12	13	13	13
13	15	16	15
14	17	17	17
15	18	20	18
16	19	23	19
17	23	28	23
18	28	29	28
19	31	32	31
20	32	37	32
21	41	41	41
22	45	45	45
23	47	48	47
24	53	55	53
25	55	56	55
26	59	63	59
27	63	68	63
28	67	77	67
29	79	81	79
30	83	83	87
31	85	85	88
32	92	94	92
33	94	96	94
34	98	108	98
35	101	117	101
36	120	120	128
37	135	135	135
38	137	142	137
39	142	143	142
40	151	166	151
41	160	167	160
42	167	173	167
43	180	185	180
44	182	199	182
45	188	210	188
46	204	234	204
47	247	254	247
48	260	271	260
49	270	288	270
50	292	292	326
51	323	323	327
52	338	338	360
53	368	368	370
54	378	383	378
55	392	427	392
56	424	457	424
57	438	471	438
58	439	521	439
59	466	522	466
60	513	550	513
61	565	565	565
62	577	577	622
63	583	583	631
64	589	589	673
65	605	605	698
66	612	612	718
67	682	682	764
68	735	735	799
69	841	841	892
70	847	847	954
71	1001	1001	1102
72	1003	1003	1137
73	1044	1044	1171
74	1079	1079	1180
75	1244	1252	1244
76	1327	1327	1378
77	1399	1409	1399
78	1414	1418	1414
79	1421	1421	1495
80	1557	1557	1647
81	1634	1634	1693
82	1663	1663	1706
83	1684	1684	2014
84	1818	1818	2026
85	1844	1844	2028
86	1861	1861	2112
87	1880	1880	2190
88	1892	1892	2340
89	1946	1946	2398
90	1951	1951	2448
91	1971	1971	2589
92	2044	2044	2693
93	2130	2130	2826
94	2150	2150	3360
95	2227	2227	3500
96	2328	2328	3909
97	2393	2393	4420
98	3215	3215	4924
99	3224	3224	4926
100	3258	3258	5566
101	3289	3289	5871
102	3405	3405	5941
103	3436	3436	6537
104	3450	3450	6855
105	3722	3722	6974
106	3833	3833	7560
107	4172	4172	7826
108	4227	4227	8127
109	4337	4337	8486
110	4495	4495	9071
111	7544	7544	9282
112	8221	8221	9543
113	8720	8720	9903
114	9023	9023	12716
115	9277	9277	12856
116	9971	9971	14007

[Thomas11]

Here are some new VPS for E=52, 58, 60, 130, and 138.
All but one duplicates are removed from the list.
Just for your statistics I kept S 2965954850809 58 in the list,
which is already known as S 48622210669 60.

Still no 116+ candidates, but I found a very nice 115/10000!

Will post more results (e.g. for E=66, 82, 100, 106) tomorrow...

[robert44444uk]

Originally Posted by Thomas11

Here are some new VPS for E=52, 58, 60, 130, and 138.
All but one duplicates are removed from the list.
Just for your statistics I kept S 2965954850809 58 in the list,
which is already known as S 48622210669 60.

Still no 116+ candidates, but I found a very nice 115/10000!

Will post more results (e.g. for E=66, 82, 100, 106) tomorrow...

Luvverly jubby, as I would say in London, if I was there...but I am not.

115/10000..star!

Will update the master file. Heading towards 1000 new VPS

[robert44444uk]

I notice there have been several views of Thomas11's file. If anyone is working on these numbers please reserve the number in this thread and post the results. No-one can get to 200 primes without this being a team effort. A little co-ordination will go a long way. And yes, we need people to take these numbers forward. Don't be shy.

We are now over 1000 known VPS (1027, R 577, S 450), of which 707 (452 Riesel, and 255 Sierpinski) are due to Robert G's program.

We have a juicy 115, a 114, 1 113, 1 112, 1 111, 3 110, 4 109, 4 108, 19 107, 28 106, and 43 105. The most prime series might be one of these.

Of great interest, as well as the obvious monsters we have 1 106 at 108/10000, 2 130's at 105/10000 and 3 138's at 100/10000. These have huge Nash weights.

[em99010pepe]

Originally Posted by robert44444uk

And yes, we need people to take these numbers forward. Don't be shy.

Please explain step by step how to set up the client. Thank you.

[Dougal]

program still crashing on me.anyone else have any problems?