is 2 3312653 - 1
has 997208 decimal digits
takes 0.348 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP8C379F3384192613verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26936.039668.1159%40000001500000001.82068.1256%37.860270.7067%2.5908%
PrimeNet2600.046463.3333%140002600000.00422.7803%0.050564.3528%1.0195%
GPU722641.074565.6250%170003000000.00491.7234%1.079466.2174%0.5924%
Difference+5+34.9652+2.4909%+3983000+149700000+1.8156+6.4022%+36.7808+4.4893%+4.4893%

Known prime factors (1 factor, 79.9 bits, 0.00241204% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
331265311298489362964883980958492579.902170535358864403908
22 × 367 × 116168500588831
2021-10-2936711616850058883157,823963,8731,800,246

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2010-07-18T13:38:00Rob_Deetwopc1000020000---0.002--0.214%
2010-07-19T13:14:00Rob_Deetwopc2000030000---0.003--0.320%
2010-07-20T12:50:00Rob_Deetwopc3000040000---0.005--0.404%
2010-07-21T13:20:00Rob_Deetwopc4000050000---0.006--0.476%
2010-07-22T13:15:00Rob_Deetwopc5000060000---0.008--0.541%
2010-07-23T12:35:00Rob_Deetwopc6000070000---0.009--0.600%
2010-07-24T13:04:00Rob_Deetwopc7000080000---0.011--0.654%
2010-07-25T14:30:00Rob_Deetwopc8000090000---0.012--0.704%
2010-07-26T13:48:00Rob_Deetwopc90000100000---0.014--0.751%
2010-07-27T13:59:00Rob_Deetwopc100000200000---0.016--1.074%
2010-07-28T12:54:00Rob_Deetwopc100000400000---0.018--1.410%
2010-07-29T13:32:00Rob_Deetwopc100000600000---0.019--1.612%
2010-07-30T13:27:00Rob_Deetwopc100000800000---0.021--1.759%
2010-07-31T12:18:00Rob_Deetwopc1000001000000---0.023--1.874%
2012-11-18T09:30:00Squeeky_SquirrelP4_26001800003285000---0.053--2.812%
2017-05-31T03:36:31Jocelyn Larouchelow 4M36000036000006---0.082--3.174%
2020-03-12T08:06:03mikrMSI400000015000000012---1.821--8.126%
2022-04-09T09:23:58Jocelyn LaroucheManual testing10000001000000---0.152--2.297%
2022-04-10T15:21:14Jocelyn LaroucheManual testing1000000138424650---1.293--7.055%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-07-07T00:00:00ANONYMOUSv4_computers21260--0.046--
2009-03-31T16:21:00S485122USB-Z260261--0.046--
2011-09-16T20:08:00Grant McCrackenthumper261262--0.093--
2011-10-25T08:14:00Aaron HavilandManual testing262263--0.296--
2011-10-25T08:14:00Aaron HavilandManual testing263264--0.593--
2011-10-25T08:14:00Aaron HavilandManual testing264265--1.128--
2016-03-01T09:33:55ramgeisManual testing265266--2.256--
2017-02-25T16:03:09Gordon SpenceManual testing266267--4.512--
2018-12-03T19:08:40TJAOIManual testing267268--9.023--
2021-07-22T10:09:12TJAOIManual testing268269--18.05--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.026 GHz-days
Estimated T-Level:3.100
DigitsB1CurvesCompleteFacMiss
201100062 / 1000.62053.627%
255000062 / 2800.22180.106%

New Calculation Method

Total ECM effort:9.026 GHz-days
Estimated T-Level:3.100
DigitsB1CompleteFacMiss
20110002.00013.534%
25500000.18183.483%
302500000.01198.895%


ECM Summary

B1B2factorcurvesGHz-days
50000480000071.003
500005000000507.294
50000500000050.729


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-11-14T06:50:06MadPooManual testing8B630C7A54B247__0.348


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-04T11:44:17kutensterra
1129848936296488398095849
8C379F3384192613no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 138424650 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 360000, B2 = 3600000 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 180000, B2 = 3285000 (P-1 stage 2)
B1 = 180000 (P-1 stage 1)
B1 = 100000, B2 = 1000000 (P-1 stage 2)
B1 = 100000, B2 = 800000 (P-1 stage 2)
B1 = 100000, B2 = 600000 (P-1 stage 2)
B1 = 100000, B2 = 400000 (P-1 stage 2)
B1 = 100000, B2 = 200000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000, B2 = 100000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 80000, B2 = 90000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 70000, B2 = 80000 (P-1 stage 2)
B1 = 70000 (P-1 stage 1)
B1 = 60000, B2 = 70000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 50000, B2 = 60000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 40000, B2 = 50000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 30000, B2 = 40000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000, B2 = 30000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 10000, B2 = 20000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-04-10T15:21:14+00:00