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 2019-07-19, 20:16 #1 error   Sep 2014 23 Posts p-1 issue with Prime95 There seems to be a problem with p-1 test on certain numbers by Prime95. I'm testing numbers of the form 2*3^n+1 (Williams numbers MP 3). p-1 test by Prime95 fails to find most of the smooth factors for such numbers. Examples: {exponent n, factor p, {factors of p-1}} Code: {3475646, 119489318533691, {2, 5, 7, 431, 8011, 494387}} {7665700, 119491953091009, {3, 29, 31, 64, 163, 1451, 2927}} {9257944, 119531331540809, {8, 11, 1289, 30313, 34763}} {6423342, 119605774137529, {3, 8, 49, 53, 14087, 136223}} {3042101, 119808015836737, {3, 64, 277, 34231, 65809}} {5838880, 119973320941321, {5, 7, 8, 11, 27, 33857, 42611}} {5012801, 120053607739783, {2, 3, 101, 463, 4057, 105467}} {4070145, 120089496622181, {4, 5, 361, 487, 1399, 24413}} {9086412, 120111987466147, {2, 3, 13, 67, 71, 1681, 192571}} {7266064, 120126224537833, {3, 8, 2729, 7649, 239783}} {8105957, 120156817371103, {2, 27, 29, 41, 10303, 181639}} {6926322, 120167197804937, {8, 17, 61, 139, 2063, 50513}} {3012802, 120188143840001, {61, 256, 313, 625, 39343}} {7129212, 120222226105171, {2, 3, 5, 7, 3041, 10243, 18379}} {9166614, 120243245621777, {16, 29, 31, 41, 83, 241, 10193}} {7625410, 120375431852843, {2, 14783, 25541, 159407}} {3361126, 120383218522649, {8, 41, 167, 4421, 497113}} {6792312, 120394103284001, {13, 32, 49, 125, 149, 337, 941}} {4546184, 120400176592907, {2, 7, 89, 263, 2441, 150517}} {9997324, 120412055355299, {2, 49, 673, 26987, 67651}} {8382020, 120475635536401, {3, 16, 25, 53, 97, 2843, 6869}} {6717329, 120559382021839, {2, 3, 541, 1019, 3019, 12073}} {5020722, 120585793479313, {3, 7, 16, 97, 36629, 101009}} {8632670, 120659693453987, {2, 863, 1109, 1543, 40853}} {9136786, 120682062140921, {5, 7, 8, 23, 37, 1663, 304553}} {6799072, 120766589012273, {7, 16, 53, 383, 3181, 16699}} {8566642, 120787899533723, {2, 23, 1187, 8191, 270071}} {4605525, 120894933211081, {3, 5, 8, 23, 49, 97, 971, 9491}} Only the last of these is found by Prime95 with bounds B1=40000, B2=500000. worktodo.txt Code: Pminus1=2,3,3475646,1,40000,500000 Pminus1=2,3,7665700,1,40000,500000 Pminus1=2,3,9257944,1,40000,500000 Pminus1=2,3,6423342,1,40000,500000 Pminus1=2,3,3042101,1,40000,500000 Pminus1=2,3,5838880,1,40000,500000 Pminus1=2,3,5012801,1,40000,500000 Pminus1=2,3,4070145,1,40000,500000 Pminus1=2,3,9086412,1,40000,500000 Pminus1=2,3,7266064,1,40000,500000 Pminus1=2,3,8105957,1,40000,500000 Pminus1=2,3,6926322,1,40000,500000 Pminus1=2,3,3012802,1,40000,500000 Pminus1=2,3,7129212,1,40000,500000 Pminus1=2,3,9166614,1,40000,500000 Pminus1=2,3,7625410,1,40000,500000 Pminus1=2,3,3361126,1,40000,500000 Pminus1=2,3,6792312,1,40000,500000 Pminus1=2,3,4546184,1,40000,500000 Pminus1=2,3,9997324,1,40000,500000 Pminus1=2,3,8382020,1,40000,500000 Pminus1=2,3,6717329,1,40000,500000 Pminus1=2,3,5020722,1,40000,500000 Pminus1=2,3,8632670,1,40000,500000 Pminus1=2,3,9136786,1,40000,500000 Pminus1=2,3,6799072,1,40000,500000 Pminus1=2,3,8566642,1,40000,500000 Pminus1=2,3,4605525,1,40000,500000 results.txt Code: [Fri Jul 19 18:23:27 2019] UID: error/flow, 2*3^3475646+1 completed P-1, B1=40000, B2=500000, Wh4: 5A1CBB19 UID: error/flow, 2*3^9166614+1 completed P-1, B1=40000, B2=500000, Wh4: ED3B5FF0 [Fri Jul 19 18:29:59 2019] UID: error/flow, 2*3^7665700+1 completed P-1, B1=40000, B2=500000, Wh4: C64715E3 UID: error/flow, 2*3^7625410+1 completed P-1, B1=40000, B2=500000, Wh4: C5601B94 [Fri Jul 19 18:36:50 2019] UID: error/flow, 2*3^3361126+1 completed P-1, B1=40000, B2=500000, Wh4: 570ABF63 UID: error/flow, 2*3^9257944+1 completed P-1, B1=40000, B2=500000, Wh4: EF905B7E [Fri Jul 19 18:42:06 2019] UID: error/flow, 2*3^6423342+1 completed P-1, B1=40000, B2=500000, Wh4: A65AC518 UID: error/flow, 2*3^6792312+1 completed P-1, B1=40000, B2=500000, Wh4: AFCC3BDF UID: error/flow, 2*3^3042101+1 completed P-1, B1=40000, B2=500000, Wh4: 4EC448C9 UID: error/flow, 2*3^4546184+1 completed P-1, B1=40000, B2=500000, Wh4: 75A292BD [Fri Jul 19 18:48:09 2019] UID: error/flow, 2*3^5838880+1 completed P-1, B1=40000, B2=500000, Wh4: 972BDCBB UID: error/flow, 2*3^5012801+1 completed P-1, B1=40000, B2=500000, Wh4: 81B5FC8A UID: error/flow, 2*3^9997324+1 completed P-1, B1=40000, B2=500000, Wh4: 02A9BFD6 [Fri Jul 19 18:55:21 2019] UID: error/flow, 2*3^4070145+1 completed P-1, B1=40000, B2=500000, Wh4: 6979A00F UID: error/flow, 2*3^8382020+1 completed P-1, B1=40000, B2=500000, Wh4: D8F7794E [Fri Jul 19 19:02:24 2019] UID: error/flow, 2*3^9086412+1 completed P-1, B1=40000, B2=500000, Wh4: EB32621A UID: error/flow, 2*3^6717329+1 completed P-1, B1=40000, B2=500000, Wh4: ADF83EAC [Fri Jul 19 19:07:43 2019] UID: error/flow, 2*3^7266064+1 completed P-1, B1=40000, B2=500000, Wh4: BBF5246E UID: error/flow, 2*3^5020722+1 completed P-1, B1=40000, B2=500000, Wh4: 8202FF58 [Fri Jul 19 19:14:20 2019] UID: error/flow, 2*3^8105957+1 completed P-1, B1=40000, B2=500000, Wh4: D1B204E1 UID: error/flow, 2*3^8632670+1 completed P-1, B1=40000, B2=500000, Wh4: DF727081 [Fri Jul 19 19:19:45 2019] UID: error/flow, 2*3^6926322+1 completed P-1, B1=40000, B2=500000, Wh4: B340368D UID: error/flow, 2*3^9136786+1 completed P-1, B1=40000, B2=500000, Wh4: EC765C3F UID: error/flow, 2*3^3012802+1 completed P-1, B1=40000, B2=500000, Wh4: 4DF049F0 [Fri Jul 19 19:26:47 2019] UID: error/flow, 2*3^6799072+1 completed P-1, B1=40000, B2=500000, Wh4: AFE03B9C UID: error/flow, 2*3^7129212+1 completed P-1, B1=40000, B2=500000, Wh4: B8772EA1 [Fri Jul 19 19:31:58 2019] UID: error/flow, 2*3^8566642+1 completed P-1, B1=40000, B2=500000, Wh4: DDC37634 P-1 found a factor in stage #2, B1=40000, B2=500000. UID: error/flow, 2*3^4605525+1 has a factor: 120894933211081 (P-1, B1=40000, B2=500000) Does this problem influence other kind of numbers? Is the PRP test for these numbers free of errors?
 2019-07-20, 01:36 #2 Prime95 P90 years forever!     Aug 2002 Yeehaw, FL 53×67 Posts I will look into this when I get a chance, but it will likely be at least a week.
 2019-07-20, 01:53 #3 ixfd64 Bemusing Prompter     "Danny" Dec 2002 California 1001110100002 Posts George, are you on vacation? We're starting to itch for another new Mersenne prime.
2019-07-20, 09:15   #4
kriesel

"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest

23×3×337 Posts

Quote:
 Originally Posted by ixfd64 George, are you on vacation? We're starting to itch for another new Mersenne prime.
Patience; lately it's been on his year-end holiday vacation.

 2019-07-27, 02:37 #5 Prime95 P90 years forever!     Aug 2002 Yeehaw, FL 53×67 Posts Will be fixed in 29.8 build 6
2019-07-27, 06:54   #6
error

Sep 2014

101112 Posts

Quote:
 Originally Posted by Prime95 Will be fixed in 29.8 build 6
What was the problem?
PRP tests with earlier versions still good?

 2019-07-27, 16:59 #7 Prime95 P90 years forever!     Aug 2002 Yeehaw, FL 53×67 Posts The problem was in the P-1 code. The bug has been there forever. Your previous PRP tests are all good.
2019-07-27, 17:06   #8
pepi37

Dec 2011
After 1.58M nines:)

1,777 Posts

Quote:
 Originally Posted by Prime95 The problem was in the P-1 code. The bug has been there forever. Your previous PRP tests are all good.
When can we expect build 6?

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