mersenneforum.org  

Go Back   mersenneforum.org > Prime Search Projects > Twin Prime Search

Reply
 
Thread Tools
Old 2020-07-09, 20:36   #1
hunson
 
Feb 2020
Germany

2·11 Posts
Default Finished private twin prime projects (1 new twin prime)

Hey everone,

I recently did two twin prime projects on two computers for fun (and a bit fame :)).
The exponents where chosen so, that the primes should result in the 4th and 9/10th place on the list of the largest known twin primes.
To organize the search with multiple (2) computers and serveral cores, I wrote myself a primitive copy of prpnet in python.

Since the results would be 'lost' when not published I would like to use this forum to do so.

Search parameters:
Sieved was for candidates of the form k*2^n +-/ 1 for with n listed as followed with twinprime.exe from the mtsieve package.


Parameters for twinsieve: -w 1e7 -W 12 -P 1e14 -k 1 -K 500e6

Results

For n = 268768:
Candidates:386101
Twinprimes: 0
Rieselprimes: 103

k: 579060, 9616188, 16278540, 19542432, 27331038, 30431637, 31039863, 35924175, 51611757, 51866430, 52502403, 54234612, 55857405, 61736430, 61776402, 75085332,
77846697, 82586790, 83111985, 93569817, 96208653, 96991707, 101860143, 102358830, 102690978, 116355825, 122842413, 127650822, 129651072, 131742330, 132330660,
137790750, 143645172, 149183595, 153379155, 179748633, 194654292, 196645668, 209840202, 218730930, 230403417, 230691033, 232733787, 237608085, 238081977, 239510658,
255487692, 266788545, 267976437, 270139455, 276823710, 280694877, 289148733, 290854398, 294404328, 294416835, 294784908, 295244292, 296480478, 301503915, 305794923,
310794192, 322001022, 324834237, 330020040, 330871770, 335796705, 342038898, 342487437, 347674080, 357710493, 370356225, 374145648, 376793310, 381319773, 390454395,
394521762, 397027527, 398707458, 406962558, 416501220, 417403527, 425660937, 426192402, 431001258, 431937417, 432922107, 440573790, 441926688, 445314378, 447956013,
449203893, 452964687, 455606118, 455661918, 456182967, 456426627, 464656635, 470393922, 479208450, 489712533, 498683022, 499175787

For n = 173371:
Candidates: 400523
Twinprimes: 1 (383095314)
Rieselprimes: 202
+1-Form: 3 (426247554*2^173371+1, 453723675*2^173371+1, 336179976*2^173371+1)

k: 1696185, 2782074, 3971106, 8917251, 15360486, 16369341, 16438056, 16695576, 16814499, 19682991, 25639314, 32103069, 33259224, 33845964, 34296864, 34532301,
34576296, 35646819, 40188855, 40239981, 42806391, 43192809, 47087844, 48229470, 51775995, 52605960, 54580590, 56040579, 56341614, 58121061, 60504051, 64672155,
67700571, 70631640, 72349200, 73160409, 74571924, 74632776, 87768066, 91064784, 97267140, 97559691, 97807095, 99016380, 99485316, 99798516, 100496691, 104644056,
104650614, 109056471, 115007460, 117027324, 130391589, 132280086, 135144996, 136233165, 136486230, 140916411, 143312805, 145434255, 147496305, 147808935, 148432671,
149404446, 150750621, 156603054, 160800144, 162597204, 165571365, 175299810, 177445485, 178146675, 178314639, 187144074, 188074671, 189601476, 190231875,
193960044, 197904126, 199723005, 199912770, 200778720, 203783070, 204463470, 204880269, 212266209, 213177459, 213191571, 218761566, 224484681, 226556580,
227446890, 230573946, 233306214, 236129850, 240302334, 241746210, 245816046, 247994361, 251618745, 252639780, 253994679, 255231579, 258021435, 258715521,
259486050, 261538704, 264590604, 266756499, 270455625, 270749409, 274709301, 280132125, 281568279, 288720210, 292854771, 294477576, 294701265, 295169796,
299029026, 299168415, 299795460, 300212625, 304532790, 305398305, 306947346, 307686420, 309274434, 312152226, 312584139, 320106849, 320454594, 321956496,
323049924, 324487239, 330429840, 333093906, 333945654, 336192234, 337897110, 344228235, 344961855, 347112264, 347748864, 349039626, 359483355, 363135465,
364860264, 367503255, 367792854, 370600530, 370808310, 371505345, 373232670, 375663309, 377625390, 377967009, 383095314, 386509059, 386832060, 393448371,
394636845, 396510864, 398404581, 400066779, 403192239, 408479475, 409654869, 410983134, 412418004, 416614749, 425294856, 426251994, 431660346, 432679806,
437123595, 437525136, 440535471, 440903190, 441792069, 444151434, 451577520, 453728805, 461560056, 464387469, 464480196, 470193030, 471500559, 475185591,
475573656, 482165475, 482451606, 488359026, 489735294, 494719860, 496296516, 496721304, 496813326, 497942040, 498209031, 498926139, 499630836

The twin prime was reported to C. Caldwell's prime pages (191547657*2^173372 +/-1, canonical).



If anyone is interested, I attatched the sieve files.


kind regards


hunson
Attached Files
File Type: 7z sievefiles_173371_268768.7z (1.17 MB, 39 views)
hunson is offline   Reply With Quote
Old 2020-07-10, 19:27   #2
kar_bon
 
kar_bon's Avatar
 
Mar 2006
Germany

284510 Posts
Default

I've created a page for this k-value in the Wiki.
kar_bon is offline   Reply With Quote
Old 2020-07-10, 20:26   #3
hunson
 
Feb 2020
Germany

2·11 Posts
Default

:) Thanks.


I contacted the maintainers from C. Caldwell's prime pages because I made a mistake with the submittion of the -1 Form of my prime. I used the wrong commend, I hope this will be fixed soon.


regards.
hunson is offline   Reply With Quote
Old 2020-07-11, 06:23   #4
paulunderwood
 
paulunderwood's Avatar
 
Sep 2002
Database er0rr

22×23×37 Posts
Default

Quote:
Originally Posted by hunson View Post
:) I contacted the maintainers from C. Caldwell's prime pages because I made a mistake with the submittion of the -1 Form of my prime. I used the wrong commend, I hope this will be fixed soon.
Alles gut Your twin is now 9th.

Last fiddled with by paulunderwood on 2020-07-11 at 06:26
paulunderwood is offline   Reply With Quote
Old 2020-07-11, 12:11   #5
hunson
 
Feb 2020
Germany

1616 Posts
Default

Ja :)

I got an answer this morning that the issue was fixed. The mail had the typical charm of a university professor, it just said "fixed" :)




regards.
hunson is offline   Reply With Quote
Old 2020-07-11, 17:56   #6
masser
 
masser's Avatar
 
Jul 2003
wear a mask

1,433 Posts
Default

Congratulations! Great find!
masser is offline   Reply With Quote
Old 2020-07-12, 19:15   #7
hunson
 
Feb 2020
Germany

2×11 Posts
Default

Thanks.
Finally a result that is worth so publish.
hunson is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
find very easy twin prime in the infamy twin primes hal1se Miscellaneous Math 13 2018-11-05 16:34
Highest Prime is also a twin prime... NOT hydeer Lone Mersenne Hunters 9 2018-04-03 22:54
Twin Prime tests mathPuzzles Math 10 2017-06-24 08:41
Twin Prime Days, Prime Day Clusters cuBerBruce Puzzles 3 2014-12-01 18:15
Top-10 twin prime found! gd_barnes Riesel Prime Search 6 2007-10-12 18:42

All times are UTC. The time now is 04:45.

Fri Sep 25 04:45:59 UTC 2020 up 15 days, 1:56, 0 users, load averages: 1.19, 1.26, 1.33

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2020, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.