Symmetric Prime Tuples development

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Tomáš Brada
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Message 4061 - Posted: 20 Mar 2020, 11:40:00 UTC

Process is complete, the validator was resumed and already managed to process that backlog. It remains to check the results.
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Message 4062 - Posted: 21 Mar 2020, 10:40:07 UTC - in response to Message 3986.  
Last modified: 21 Mar 2020, 10:51:30 UTC

Checking sequences from the linked message.
A087641 match, no changes
A035795 match, no changes
A263205 match, a lot of new entries todo
A259034 match, +165 new todo
A330278 match, +35593 new todo
A175309 ??
A055382 match, no changes?
A113274, A113275 does not match, why? todo publish our resutls
A329164, A329165 wrong processing on our end
A256234 ??
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Message 4063 - Posted: 21 Mar 2020, 20:38:51 UTC
Last modified: 21 Mar 2020, 20:41:06 UTC

Publishing results of the twin gaps experiment:
https://boinc.tbrada.eu/tpt_gaps.php?t=0&f=0 Gaps for any k
https://boinc.tbrada.eu/tpt_gaps.php?t=1&f=0 Gaps for k>5
https://boinc.tbrada.eu/tpt_gaps.php?t=0&f=2 Only the gap size (A113274)
https://boinc.tbrada.eu/tpt_gaps.php?t=0&f=3 Alternative format

Explanation of format "0":
4297091: 28 106  [9 2189806]

4297091 - starting prime in the twin prime tuple
28 106 - offsets - difference between the first prime of second pair and second prime of first pair (and fourth and third)
108 - the twin prime gap
9 - one-based index of this tuple
2189806 - boinc result identifier
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Message 4072 - Posted: 30 Mar 2020, 10:03:35 UTC

Batch 68: 180000000000000000 .. 180012576000000000 -1
Count: 64
Check Backend Programs
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Message 4073 - Posted: 31 Mar 2020, 16:57:23 UTC

Batch 69: 180545200000000000 .. 306305200000000000 -1
Count: 64000
Continue all in.
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Message 4086 - Posted: 23 Apr 2020, 15:22:34 UTC

Batch 70: 306305200000000000 .. 500001145000000000 -1
Count: 98573
Continue all in up to 5e17.
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Message 4096 - Posted: 12 May 2020, 12:43:49 UTC

Created a page to export sequences to OEIS.
https://hr.tbrada.eu/tomas/seq_ix.php
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Natalia Makarova
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Message 4097 - Posted: 12 May 2020, 17:37:28 UTC - in response to Message 4096.  

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Message 4098 - Posted: 12 May 2020, 19:16:20 UTC

Counts from incomplete batch 70:
MariaDB [boinc]> select batch, kind, k, count(id) from spt where batch=70 group by kind, k;
+-------+------+----+-----------+
| batch | kind | k  | count(id) |
+-------+------+----+-----------+
|    70 | spt  | 11 |    858456 |
|    70 | spt  | 13 |      8253 |
|    70 | spt  | 14 |   9809638 |
|    70 | spt  | 15 |        78 |
|    70 | spt  | 16 |    436152 |
|    70 | spt  | 18 |     20031 |
|    70 | spt  | 20 |       930 |
|    70 | spt  | 22 |        39 |
|    70 | spt  | 24 |         5 |
|    70 | tpt  |  6 |   3918867 |
|    70 | tpt  |  7 |    115369 |
|    70 | tpt  |  8 |      3412 |
|    70 | tpt  |  9 |       101 |
|    70 | tpt  | 10 |         1 |
|    70 | stpt | 10 |    533232 |
|    70 | stpt | 12 |     24830 |
|    70 | stpt | 14 |        36 |
|    70 | stpt | 16 |         1 |
+-------+------+----+-----------+
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Message 4099 - Posted: 12 May 2020, 19:36:40 UTC
Last modified: 12 May 2020, 19:39:45 UTC

TODO:
A266512 - SPT(n) of shortest span
A274792 - STPT(n)
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Message 4100 - Posted: 12 May 2020, 20:25:07 UTC
Last modified: 12 May 2020, 20:27:22 UTC

Counts from the whole database:
+------+----+-----------+
| kind | k  | count(id) |
+------+----+-----------+
| spt  | 11 |   2464291 |
| spt  | 13 |     26732 |
| spt  | 14 |  30156718 |
| spt  | 15 |       256 |
| spt  | 16 |   1581602 |
| spt  | 17 |         2 |
| spt  | 18 |     74477 |
| spt  | 20 |      3655 |
| spt  | 22 |       184 |
| spt  | 24 |        12 |
| tpt  |  6 |  12170000 |
| tpt  |  7 |    399024 |
| tpt  |  8 |     11967 |
| tpt  |  9 |       355 |
| tpt  | 10 |         9 |
| stpt | 10 |   1732835 |
| stpt | 12 |     81172 |
| stpt | 14 |       114 |
| stpt | 16 |         6 |
+------+----+-----------+

Notable: 30 million spt(14), 12 million tpt(6).
Rare: spt(17), spt(24), tpt(10), stpt(16)
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Message 4102 - Posted: 13 May 2020, 9:05:40 UTC

Batch 71: 500001145000000000 .. 600001960000000000 -1
Count: 50891
From 5e17.
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Message 4113 - Posted: 11 Jun 2020, 12:31:02 UTC

Counts for batch 71:
+-------+------+----+---------+         
| batch | kind | k  | cnt     |
+-------+------+----+---------+
|    71 | spt  | 11 |  432653 |
|    71 | spt  | 13 |    1258 |
|    71 | spt  | 14 | 4649500 |
|    71 | spt  | 15 |      16 |
|    71 | spt  | 16 |    2396 |
|    71 | spt  | 18 |     121 |
|    71 | spt  | 20 |       4 |
|    71 | tpt  |  6 | 1636292 |
|    71 | tpt  |  7 |   17261 |
|    71 | tpt  |  8 |     480 |
|    71 | tpt  |  9 |      17 |
|    71 | stpt | 10 |  205255 |
|    71 | stpt | 12 |    9598 |
|    71 | stpt | 14 |       6 |
|    71 | stpt | 16 |       2 |
+-------+------+----+---------+
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Message 4114 - Posted: 11 Jun 2020, 12:32:59 UTC

Batch 72: 600001960000000000 .. 724801960000000000 -1
Count: 64000
From 6e17.
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Message 4125 - Posted: 23 Jun 2020, 9:27:24 UTC

Batch 73: 724801960000000000 .. 900001660000000000 -1
Count: 89846
From 6e17. Ignore spt-14 and tpt-6
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Message 4183 - Posted: 13 Jul 2020, 12:18:45 UTC
Last modified: 13 Jul 2020, 12:47:05 UTC

Counts for batch 72 and 73:
+-------+------+----+---------+
| batch | kind | k  | cnt     |
+-------+------+----+---------+   
|    72 | spt  | 11 |  526171 |
|    72 | spt  | 13 |    5005 |
|    72 | spt  | 14 | 5617984 |
|    72 | spt  | 15 |      48 |
|    72 | spt  | 16 |  246859 |
|    72 | spt  | 18 |   11258 |
|    72 | spt  | 20 |     503 |
|    72 | spt  | 22 |      26 |
|    72 | spt  | 24 |       2 |
|    72 | tpt  |  6 | 2352632 |
|    72 | tpt  |  7 |   69024 |
|    72 | tpt  |  8 |    1971 |
|    72 | tpt  |  9 |      53 |
|    72 | tpt  | 10 |       1 |
|    72 | stpt | 10 |  313936 |
|    72 | stpt | 12 |   14526 |
|    72 | stpt | 14 |      14 |
|    72 | stpt | 16 |       2 |
|    73 | spt  | 11 |  721644 |
|    73 | spt  | 13 |    6881 |
|    73 | spt  | 15 |      68 |
|    73 | spt  | 16 |  332090 |
|    73 | spt  | 18 |   15017 |
|    73 | spt  | 20 |     708 |
|    73 | spt  | 22 |      37 |
|    73 | spt  | 24 |       1 |
|    73 | tpt  |  7 |   92728 |
|    73 | tpt  |  8 |    2663 |
|    73 | tpt  |  9 |      70 |
|    73 | tpt  | 10 |       1 |
|    73 | tpt  | 11 |       1 |
|    73 | stpt | 10 |  423971 |
|    73 | stpt | 12 |   19135 |
|    73 | stpt | 14 |      36 |
|    73 | stpt | 16 |       1 |
+-------+------+----+---------+
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Message 4184 - Posted: 13 Jul 2020, 12:27:20 UTC

Batch 75: 900001660000000000 .. 1149601660000000000 -1
Count: 128000
Continue from 9e17
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Message 4201 - Posted: 16 Jul 2020, 14:14:49 UTC

Batch 75 cancelled.
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Message 4204 - Posted: 18 Jul 2020, 20:20:43 UTC

Batch 76: 900001660000000000 .. 1149601660000000000 -1
Count: 128000
Continue from 9e17
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Message 4230 - Posted: 9 Aug 2020, 19:10:16 UTC
Last modified: 15 Aug 2020, 18:47:21 UTC

Rare tuples found:
TPT(11): 789795449254776509: 0 2 18 20 42 44 72 74 108 110 138 140 240 242 252 254 270 272 318 320 360
Frank [RKN] on 29 Jun 2020,
SPT(17): 159067808851610411: 0 42 60 96 102 186 210 240 246 252 282 306 390 396 432 450 492
mcf2020
SPT(17): 589492143270716899: 0 24 54 114 120 192 204 210 222 234 240 252 324 330 390 420 444
zombie67 [MM]
TPT-GAP: 930954769609130597:0 2 1122 1124
RFGuy_KCCO
TPT-GAP: 79706794527633851: 58 16 736 40 10
Jeff17
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