is 2 1839361 - 1
has 553703 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5416A889608B8B91double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26716.154568.6567 %2780000917600000.60008.1334 %16.754571.2060 %
Target2610.167065.5738 %90007000000.00371.5963 %0.170766.1233 %
Difference+6+15.9875+3.0829 %+2771000+91060000+0.5964+6.5371%+16.5838+5.0827 %

Known prime factors (1 factor, 77.5 bits, 0.00421597% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18393612207817677109339686533272477.54760015888047787783
3 × 571 × 35035544686391
2016-11-155713503554468639127,025150,154280,445

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-02-07Carsten Kossendeymother10000016750006--0.0154.948%
2014-05-19JossManual testing134895134895--0.0112.341%
2014-09-23JossManual testing169790169790--0.0132.590%
2015-07-06mikrMSI27800009176000012--0.60012.886%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-16ANONYMOUSv4_computers212580.021
2010-04-20Architects Cubeda3_lm2602610.084
2011-01-21GrunwalderGIMPManual testing212630.868
2016-02-23Mark RoseManual testing2582630.763
2015-04-27snme2pm1Manual testing2632653.099
2015-09-05ramgeisManual testing2652664.063


ECM factoring results:
Total ECM effort:39.229 GHz-days
Estimated T-Level:25.712
DigitsB1CompleteFacMiss
201100015.0330.000%
25500001.68518.537%
302500000.14286.730%
3510000000.01099.029%


ECM Summary

B1B2factorcurvesGHz-days
500005000000362.382
50000500000030.207
50000660000021216.52
250000400000004720.12


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21ANONYMOUSv4_computers5416A889608B8B910.100
2015-07-16MadPooManual testing5416A889608B8B910.100


PRP results:
dateuseridcompidcofactorsres64
2017-10-04Oliver KruseGTX-0
220781767710933968653327
1FADB0DBA1D1B2B3
2017-11-06Chang Chia-Tcheex01
220781767710933968653327
1FADB0DBA1D1B2B3


CERT results:
No CERT results for M1839361


P-1 factor-bounds graph:
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 100000, B2 = 1675000 (P-1 stage 2)
B1 = 169790 (P-1 stage 1)
B1 = 134895 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.71 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00