Finished private twin prime projects (1 new twin prime)

[hunson]

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

[kar_bon]

I've created a page for this k-value in the Wiki.

[hunson]

:) 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.

[paulunderwood]

Originally Posted by hunson

:) 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.

[hunson]

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.

[masser]

Congratulations! Great find!

[hunson]

Thanks.
Finally a result that is worth so publish.