is 2 2948977 - 1
has 887731 decimal digits
takes 0.251 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L379BE01120553CE3double-checked
PRPB83886540A916432verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.212167.6471%1000000200000000.25125.5435%20.463269.4405%1.7935%
PrimeNet2590.026062.7119%130002600000.00333.0734%0.029363.8579%1.1460%
GPU722630.541265.0794%170003000000.00401.9475%0.545265.7594%0.6801%
Difference+5+19.6708+2.5677%+983000+19700000+0.2472+3.5960%+19.9180+3.6811%+3.6811%

Known prime factors (1 factor, 78.9 bits, 0.00267531% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29489775617961894649089446326312478.89495252724837275595
3 × 5 × 71 × 1027783 × 87021461
2020-09-1310277838702146125,1390.70501.0928

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.246%
2010-11-03T22:58:00markrtiny950001971250---0.024--2.449%
2014-11-10T23:29:00Jocelyn LaroucheManual testing116765116765---0.014--0.928%
2015-01-26T12:23:00Jocelyn LaroucheManual testing141285141285---0.017--1.032%
2015-01-30T21:42:00Jocelyn LaroucheManual testing170954170954---0.021--1.144%
2015-02-01T13:32:00Jocelyn LaroucheManual testing188049188049---0.023--1.202%
2015-02-03T07:46:00Jocelyn LaroucheManual testing206853206853---0.026--1.262%
2015-02-11T12:22:00Jocelyn LaroucheManual testing366450366450---0.045--1.661%
2015-02-15T21:12:00Jocelyn LaroucheManual testing403095403095---0.050--1.734%
2015-02-23T15:50:00Jocelyn LaroucheManual testing443404443404---0.055--1.809%
2015-03-12T10:39:00Jocelyn LaroucheManual testing536518536518---0.066--1.964%
2015-03-14T11:30:00Jocelyn LaroucheManual testing590169590169---0.073--2.044%
2015-04-08T16:59:00Jocelyn LaroucheManual testing785513785513---0.097--2.296%
2015-04-29T15:00:00VictordeHollanderManual testing100000020000000---0.251--5.544%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:25Mark RoseManual testing21260--0.052--
2009-02-14T05:44:00Sturle Sundebach.ifi260261--0.052--
2011-12-14T05:25:00Sebastian HornbostelManual testing261262--0.104--
2013-01-07T13:49:00dbaughManual testing262263--0.333--
2015-04-27T09:54:00VictordeHollanderManual testing263264--0.666--
2015-04-27T09:54:00VictordeHollanderManual testing264265--1.267--
2016-02-25T09:22:06ramgeisManual testing265266--2.534--
2017-11-28T10:01:36Gordon SpenceManual testing266267--5.068--
2018-12-24T00:53:32chuenkitManual testing267268--10.14--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.432 GHz-days
Estimated T-Level:1.050
DigitsB1CurvesCompleteFacMiss
201100021 / 1000.21080.973%
255000021 / 2800.07592.762%

New Calculation Method

Total ECM effort:2.432 GHz-days
Estimated T-Level:1.050
DigitsB1CompleteFacMiss
20110000.67750.793%
25500000.06194.061%
302500000.00499.624%


ECM Summary

B1B2factorcurvesGHz-days
500005000000182.084
50000500000030.347


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-01T00:00:00ANONYMOUSv4_computers379BE01120553CE30.251
1999-05-30T00:00:00ANONYMOUSv4_computers379BE01120553CE30.251
2000-04-27T00:00:00ANONYMOUSv4_computers379BE01120553CE30.251
2018-10-12T07:43:19kkmrkkblmbrbkold379BE01120553CE30.251


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-16T12:52:47ViliamFAWS
561796189464908944632631
B83886540A916432no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 785513 (P-1 stage 1)
B1 = 590169 (P-1 stage 1)
B1 = 536518 (P-1 stage 1)
B1 = 443404 (P-1 stage 1)
B1 = 403095 (P-1 stage 1)
B1 = 366450 (P-1 stage 1)
B1 = 206853 (P-1 stage 1)
B1 = 95000, B2 = 1971250 (P-1 stage 2)
B1 = 188049 (P-1 stage 1)
B1 = 170954 (P-1 stage 1)
B1 = 141285 (P-1 stage 1)
B1 = 116765 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
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266
265
264
263
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261
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2100
Last modified: 2020-09-16T12:52:47+00:00