is 2 2878181 - 1
has 866419 decimal digits
takes 0.222 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L30432E3E011375E8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26820.709267.6471 %50000002000000001.74989.1817 %22.459070.6176 %
Target2630.554565.0794 %1600014000000.01021.8705 %0.564865.7326 %
Difference+5+20.1547+2.5677 %+4984000+198600000+1.7395+7.3111%+21.8942+4.8850 %

Known prime factors (1 factor, 74.1 bits, 0.00257466% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2878181202937961885784803089212374.1033525455172655660
22 × 5 × 13163 × 13391533741
2021-04-2113163133915337411,329.381.712152.61

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-28ANONYMOUSv4_computers2048204800--0.0010.687%
2009-07-03Carsten Kossendeymother15000161250--0.0031.564%
2010-12-24JossManual testing2000020000--0.0020.641%
2011-01-23JossManual testing5000050000--0.0061.160%
2011-09-28markrtiny20000049500006--0.0575.785%
2017-08-04JossManual testing40000040000006--0.0745.939%
2019-10-23masserManual testing28800002880000012--0.5309.707%
2020-03-10masserManual testing500000020000000012--1.92813.190%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.053
2009-02-14Sturle Sundegopher.ifi2602610.053
2012-01-18markroldgamer2612620.107
2013-01-10dbaughManual testing2622630.341
2015-04-21VictordeHollanderManual testing2632640.682
2015-04-21VictordeHollanderManual testing2642651.298
2016-02-19ramgeisManual testing2652662.596
2017-11-12Gordon SpenceManual testing2662675.193
2019-01-10chuenkitManual testing26726810.39


ECM factoring results:
Total ECM effort:7.778 GHz-days
Estimated T-Level:21.335
DigitsB1CompleteFacMiss
20110002.8855.588%
25500000.26776.575%
302500000.01798.331%


ECM Summary

B1B2factorcurvesGHz-days
500005000000737.568
50000500000020.209


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15JShaftv4_computers30432E3E011375E80.222
2018-09-23kkmrkkblmbrbkold30432E3E011375E80.222


PRP results:
dateuseridcompidcofactorsres64
2021-04-21mikrNitron
20293796188578480308921
B0BAE0CA1B0E7DDC
2021-04-23Joe S.11600k
20293796188578480308921
B0BAE0CA1B0E7DDC


CERT results:
dateuseridcompid
2021-04-21Simon Josefssoncto10
2021-04-23Ben Deloi-0cb05240fcdb3de04


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2880000, B2 = 28800000 (P-1 stage 2)
B1 = 2880000 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 200000, B2 = 4950000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 15000, B2 = 161250 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=21.33 ~= 54-bit
250
260
270
280
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Last modified: 2024-02-09T03:30:02+00:00