is 2 392981 - 1
has 118300 decimal digits
takes 0.004 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8E162B2655EC33F3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26775.611671.6418%6000000030000000003.095013.3756%78.706675.4349%3.7931%
PrimeNet2400.000052.5000%40001200000.000117.2636%0.000160.7002%8.2002%
GPU722440.000056.8182%70002000000.000212.8168%0.000362.3527%5.5345%
Difference+23+75.6116+14.8236%+59993000+2999800000+3.0948+0.5587%+78.7064+13.0821%+13.0821%

Known prime factors (1 factor, 98.7 bits, 0.02512528% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3929815284076064172725567459211392013098.738672306811801680687801600
28 × 3 × 52 × 23 × 8761 × 327401 × 530768041
2017-01-203274015307680412.249e+110.41080.7592

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-06-23T00:00:00ANONYMOUSv4_computers1000004000000---0.004--2.407%
2002-06-15T00:00:00ANONYMOUSv4_computers327683276800---0.003--1.684%
2002-08-24T00:00:00ANONYMOUSv4_computers655366553600---0.006--2.401%
2012-07-15T16:07:00alpertronManual testing10000000200000000---0.286--8.603%
2017-01-20T18:18:50mikrS052600000003000000000123098.7383.0950.0086.19013.376%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-01T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.006--
2022-03-07T06:43:16LordJuliusManual testing254255--0.006--
2001-03-17T00:00:00ANONYMOUSv4_computers21256--0.024--
2002-01-22T00:00:00ANONYMOUSv4_computers21257--0.049--
2004-01-18T00:00:00ANONYMOUSv4_computers21258--0.098--
2008-12-29T14:49:00Sturle Sundegideon.ifi258259--0.098--
2009-01-12T00:44:00Sturle Sundegaudi.ifi259260--0.195--
2011-02-27T23:10:00monstyuengling260261--0.391--
2015-08-13T13:31:00NRManual testing261262--0.782--
2015-11-19T16:28:21Gordon SpenceManual testing262263--2.498--
2015-11-19T16:28:21Gordon SpenceManual testing263264--4.996--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.503 GHz-days
Estimated T-Level:26.117
DigitsB1CurvesCompleteFacMiss
2011000426 / 1004.2601.382%
2550000426 / 2801.52121.781%
30250000143 / 6400.22379.963%

New Calculation Method

Total ECM effort:10.503 GHz-days
Estimated T-Level:26.117
DigitsB1CompleteFacMiss
201100021.0460.000%
25500002.5487.824%
302500000.23778.918%
3510000000.01898.236%
4030000000.00199.888%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002832.978
250000250000001437.524


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-22T00:00:00ANONYMOUSv4_computers8E162B2655EC33F30.004


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-23T07:59:58Oliver KruseDoppelherz
528407606417272556745921139201
BF310249632F03__no
2017-09-24T17:46:36Oliver KruseManual testing
528407606417272556745921139201
BF310249632F03__no
2017-11-07T00:00:01kkmrkkblmbrbkc4.xlarge
528407606417272556745921139201
BF310249632F03__no
2020-04-18T15:39:39Oliver KruseAddPrpType5
528407606417272556745921139201
B8900B275A2530__no


P-1 factor-bounds graph:
B1 = 60000000, B2 = 3000000000 (P-1 stage 2)
B1 = 60000000 (P-1 stage 1)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
264
263
262
261
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T06:43:16+00:00