is 2 849997 - 1
has 255875 decimal digits
takes 0.021 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L730E8B9263174472double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26734.957770.1493%145000006800000001.784811.1483%36.742573.4771%3.3279%
PrimeNet2400.000050.0000%80003200000.000922.8314%0.000961.4157%11.4157%
GPU722440.000054.5455%140005500000.001517.5688%0.001562.5313%7.9858%
Difference+23+34.9577+15.6038%+14486000+679450000+1.7833-6.4205%+36.7409+10.9458%+10.9458%

Known prime factors (1 factor, 77.4 bits, 0.00910833% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8499972022581774741833238274232477.421118975818428878763
11 × 1511 × 1987 × 3602497469
2016-04-211987360249746952,5576.901612.890

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.207%
2002-02-10T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.441%
2002-04-14T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.794%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.289%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.930%
2002-12-09T00:00:00ANONYMOUSv4_computers655376553700---0.015--2.712%
2003-08-08T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.622%
2009-08-30T11:27:00Carsten Kossendeyleela849997849997---0.030--2.220%
2012-03-20T00:28:00Jocelyn LaroucheManual testing12304631230463---0.043--2.561%
2012-10-19T21:35:00Jocelyn LaroucheManual testing1999289199928900---0.449--8.222%
2014-11-24T12:04:00mikrColorovo14500000680000000---1.785--11.148%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-10T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-01-14T00:00:00ANONYMOUSv4_computers21256--0.011--
2001-11-24T00:00:00ANONYMOUSv4_computers21257--0.023--
2003-09-09T00:00:00ANONYMOUSv4_computers21258--0.045--
2008-10-10T21:37:00Sturle Sundezumthor.ifi258259--0.045--
2008-10-10T22:08:00Sturle Sundezumthor.ifi259260--0.090--
2010-05-22T11:30:00Architects Cubedm1_f2260261--0.181--
2015-02-20T13:21:00TJAOIManual testing261262--0.361--
2015-10-03T15:17:38Gordon SpenceManual testing262263--1.155--
2015-10-03T15:17:38Gordon SpenceManual testing263264--2.310--
2016-02-03T13:40:43lycornManual testing264265--4.396--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.984 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:13.984 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002787.759
50000500000030.084
25000025000000446.141


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T21:16:00MadPooManual testing730E8B92631744720.021


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T04:16:05Oliver KruseGTX-1
202258177474183323827423
F320FD737C2F62__no
2017-10-14T08:32:53Oliver KruseThreadripperF320FD737C2F62__no
2017-12-18T15:19:54ATHxps
202258177474183323827423
F320FD737C2F62__no
2020-04-22T00:49:30Oliver KruseAddPrpType5
202258177474183323827423
1F18E2F36FD258__no


P-1 factor-bounds graph:
B1 = 14500000, B2 = 680000000 (P-1 stage 2)
B1 = 14500000 (P-1 stage 1)
B1 = 1999289, B2 = 199928900 (P-1 stage 2)
B1 = 1999289 (P-1 stage 1)
B1 = 1230463 (P-1 stage 1)
B1 = 849997 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
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104
105
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108
102
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1010
TF factor-bounds graph:
267
265
264
263
262
261
260
259
258
257
256
255
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260
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2100
Last modified: 2020-07-27T10:58:02+00:00