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Symmetric Prime Tuples development

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Natalia Makarova
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Message 3703 - Posted: 21 Oct 2019, 15:45:31 UTC
Last modified: 21 Oct 2019, 15:45:47 UTC

501418562132535539: 0 8 24 42 74 84 98 150 452 504 518 528 560 578 594 602
501718014215426237: 0 12 26 36 42 56 80 92 360 372 396 410 416 426 440 452

Interestingly, the gap occurred in both cases at d = 10
84 - 74 = 10
36 - 26 = 10

A coincidence?
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Message 3704 - Posted: 21 Oct 2019, 15:53:52 UTC - in response to Message 3703.  

Interestingly, the gap occurred in both cases at d = 10
84 - 74 = 10
36 - 26 = 10
A coincidence?

Not coincidence. Windows replaced value of 0A00 (hex, little-endian) with 0A0D 00 which is exactly 2573.
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Profile Michael Goetz
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Message 3707 - Posted: 21 Oct 2019, 20:05:23 UTC - in response to Message 3704.  
Last modified: 21 Oct 2019, 20:12:46 UTC

Interestingly, the gap occurred in both cases at d = 10
84 - 74 = 10
36 - 26 = 10
A coincidence?

Not coincidence. Windows replaced value of 0A00 (hex, little-endian) with 0A0D 00 which is exactly 2573.


LOL. (This is a much easier to fix problem than it first appeared to be!)

Do you realize what happened?

0A is ASCII LF, and 0D is ASCII CR.

When the file was copied from linux to Windows (DOS), the copy program was probably in "text" mode rather than "binary" mode. So it converted the linux LF into a DOS CR-LF.

I suppose it could be something else, but it did in fact convert LF to CR-LF, so that's the most likely cause.
Want to find one of the largest known primes? Try PrimeGrid. Or help cure disease at WCG.

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Message 3727 - Posted: 27 Oct 2019, 11:20:50 UTC
Last modified: 3 Nov 2019, 13:41:15 UTC

Batch 46, interval 501900195560000000..502990000000000000.
It was started few days back, but I did not write here.
One k=20 found (502611440209519393+ 58 20 28 24 60 8 10 8 22 20).
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Message 3728 - Posted: 27 Oct 2019, 12:13:56 UTC

Already two 20-tuples in this party!

502611440209519393: 0 58 78 106 130 190 198 208 216 238 258 280 288 298 306 366 390 418 438 496
502857188714968141: 0 6 36 60 96 208 216 238 246 286 300 340 348 370 378 490 526 550 580 586
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Message 3729 - Posted: 27 Oct 2019, 20:48:58 UTC

Natalia: I was wondering whether it's still needed to search for k=16?
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Message 3730 - Posted: 28 Oct 2019, 3:47:00 UTC - in response to Message 3729.  

Natalia: I was wondering whether it's still needed to search for k=16?

Yes, tuples for k = 16 are required.
From these tuples, the pandiagonal squares of order 4 are obtained.
See
https://boinc.progger.info/odlk/forum_thread.php?id=49&postid=1190#1190

My archive has program a 16-tuples to squares checker.

Please take care of DB!
DB must be published on another resource (not only on your site).

Remember the sad outcome of the Stop@home project! All project results were gone.
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Message 3731 - Posted: 28 Oct 2019, 4:03:32 UTC
Last modified: 28 Oct 2019, 4:15:09 UTC

These two 16-tuples of Wroblewski
500 155 744 849 852 957: 0,24,66,90,120,130,144,154,186,196,210,220,250,274,316,340
501 455 933 430 730 433: 0,18,56,60,74,78,116,134,150,168,206,210,224,228,266,284
already found.

Following
505 751 676 098 073 269: 0,12,30,42,60,72,90,102,140,152,170,182,200,212,230,242

By Wroblewski there may be missing squares.
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Message 3740 - Posted: 31 Oct 2019, 22:36:44 UTC

Batch 47: interval 500304494994471000..500309834362843000.
51 workunits, deadline 48 hours, test for windows.
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Message 3741 - Posted: 1 Nov 2019, 10:54:53 UTC

I should have set the deadline to 12 hours.
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Message 3745 - Posted: 2 Nov 2019, 21:27:30 UTC

Results of batch 44 and 47 are identical, which means the program works as intended. Only one computer ate all the windows workunits, so we do not have much diversity.
New, real, batch can be sent.
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Message 3750 - Posted: 3 Nov 2019, 14:24:08 UTC
Last modified: 6 Nov 2019, 17:17:32 UTC

Batch 48: 502990041080000000 .. 504530241080000000 510000004680000000 -1,
15000 wu.
Additionally I must check bounds of the past intervals and make sure none was missed.
Results.
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Message 3751 - Posted: 4 Nov 2019, 14:24:46 UTC

I extended the batch up to 507610641080000000 -1. 30000 workunits added.
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Message 3765 - Posted: 6 Nov 2019, 17:17:23 UTC

I extended the batch up to 510000004680000000 -1, 23270 workunits added.
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Message 3769 - Posted: 10 Nov 2019, 19:37:26 UTC

Improved the spt_list page. Now you can filter by K and database ID. Example:
https://boinc.tbrada.eu/spt_list.php?k=20&i=12000
Shows only tuples of k=20 and whose database id is greater than 12000. The tuples are ordered in ascending order of the start prime.
Be careful, the tuples can arrive in mixed order, so do not just take the last processed and continue. For this, there is the i argument. You can use the i argument to only show tuples since you last visited. The last displayed id is shown at the bottom of the page.
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Message 3770 - Posted: 10 Nov 2019, 20:11:15 UTC

Batch 49: 510091544778180900 .. 516663064778180900 -1,
64000 wu.
Results.
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Message 3773 - Posted: 11 Nov 2019, 0:59:58 UTC - in response to Message 3769.  

Improved the spt_list page. Now you can filter by K and database ID. Example:
https://boinc.tbrada.eu/spt_list.php?k=20&i=12000
Shows only tuples of k=20 and whose database id is greater than 12000. The tuples are ordered in ascending order of the start prime.
Be careful, the tuples can arrive in mixed order, so do not just take the last processed and continue. For this, there is the i argument. You can use the i argument to only show tuples since you last visited. The last displayed id is shown at the bottom of the page.

Fine!
Thanks.
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Message 3774 - Posted: 11 Nov 2019, 6:14:13 UTC

I noticed some duplicates among tuples-16, for example

500267781202358707: 0 4 24 30 42 46 52 54 172 174 180 184 196 202 222 226
500267781202358707: 0 4 24 30 42 46 52 54 172 174 180 184 196 202 222 226
500268284871559733: 0 6 8 68 86 114 138 144 170 176 200 228 246 306 308 314
500268284871559733: 0 6 8 68 86 114 138 144 170 176 200 228 246 306 308 314
500272700245273201: 0 28 108 112 120 148 190 208 210 228 270 298 306 310 390 418
500272700245273201: 0 28 108 112 120 148 190 208 210 228 270 298 306 310 390 418
500272700528288777: 0 26 42 66 90 104 110 150 266 306 312 326 350 374 390 416
500272700528288777: 0 26 42 66 90 104 110 150 266 306 312 326 350 374 390 416
500272793205171263: 0 18 56 60 78 116 120 138 176 194 198 236 254 258 296 314
500272793205171263: 0 18 56 60 78 116 120 138 176 194 198 236 254 258 296 314
500274166044532933: 0 6 16 28 48 76 96 126 130 160 180 208 228 240 250 256
500274166044532933: 0 6 16 28 48 76 96 126 130 160 180 208 228 240 250 256
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Message 3779 - Posted: 13 Nov 2019, 6:19:20 UTC
Last modified: 13 Nov 2019, 7:27:26 UTC

I found the wrong solutions in the list for k=16

501718014215426237: 0 12 26 2599 4135 7719 13863 16935 20007 23079 29223 32807 34343 36916 36930 36942
501418562132535539: 0 8 24 42 74 2647 6231 19543 31319 44631 48215 50788 50820 50838 50854 50862

Right solutions

501718014215426237: 0 12 26 36 42 56 80 92 360 372 396 410 416 426 440 452
501418562132535539: 0 8 24 42 74 84 98 150 452 504 518 528 560 578 594 602

Tomáš Brada
please correct these solutions in the list.
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Message 3781 - Posted: 13 Nov 2019, 13:44:14 UTC
Last modified: 13 Nov 2019, 13:48:23 UTC

Among these 18-tuples from the project list

500003850659652881: 0 12 26 42 92 98 120 180 188 218 226 286 308 314 364 380 394 406
500004448037236949: 0 2 14 32 48 74 134 140 188 192 240 246 306 332 348 366 378 380
500004938018224753: 0 4 6 34 60 64 70 100 148 174 222 252 258 262 288 316 318 322
500005156730413567: 0 22 36 46 90 100 106 126 132 190 196 216 222 232 276 286 300 322
500005602689772727: 0 34 36 100 126 190 192 210 226 330 346 364 366 430 456 520 522 556
500005809181496047: 0 16 40 66 82 106 112 126 132 190 196 210 216 240 256 282 306 322
500006160516918533: 0 36 200 218 300 326 378 410 428 636 654 686 738 764 846 864 1028 1064
500006404716660319: 0 4 10 78 84 144 150 228 300 304 376 454 460 520 526 594 600 604
500006437040283851: 0 20 32 60 86 110 126 146 186 192 232 252 268 292 318 346 358 378
500006525527074257: 0 6 20 24 42 66 170 216 230 290 304 350 454 478 496 500 514 520
500006991954622793: 0 14 36 44 60 78 84 98 114 156 172 186 192 210 226 234 256 270

only one is correct
500005602689772727: 0 34 36 100 126 190 192 210 226 330 346 364 366 430 456 520 522 556

All other tuples contain not prime numbers.

Tomáš Brada
How could this happen?
How did you generate prime numbers?
If this is done by the primesieve generator, there can be no not primes.

Can this error be in other tuples?

The list needs to be fixed.
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