is 2 1842779 - 1
has 554732 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.124568.6567%10000001883290500.88158.2209%17.006071.2334%2.5767%
PrimeNet2570.010463.1579%80001500000.00122.8829%0.011764.2200%1.0621%
GPU722610.166765.5738%90001400000.00131.5969%0.168066.1235%0.5497%
Difference+6+15.9578+3.0829%+991000+188189050+0.8802+6.6240%+16.8381+5.1099%+5.1099%

Known prime factors (4 factors, 201.9 bits, 0.01095617% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
184277912420330471030.210337
337
-13378.329e-111.519e-62.709e-6
184277918556084273991340.755503481
3 × 112 × 19 × 73
2008-07-151211211.573e-79.518e-61.937e-5
18427794282311213917739431858.571116191665249
3 × 11 × 37 × 95161069
2015-09-1537951610690.02280.40780.7617
184277960678329662958552521432272.3621646381081588149
2347 × 20431 × 34334257
2021-03-012043134334257672.770.14870.2748

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
184277923047269891212582547532270.965
18427795318772045224518711594943212788.781
18427797946292777290999145451354642573099.326
1842779753644906781548940229012356972131102.572
18427791125952198830806133460080685466605735113.117
184277998695582305328320742993421969888130107939129.536
1842779259843491557484815895004785899232230984940130.933
18427791398469840290175979407712666635936894318567944143.327
1842779322734203562261641542306826310006042810783157990349161.143
184277948216777273884973243075086946205301021938460991527
51
52171.688
184277959886830794003706844610021889585295115830440551797
55442962297
61201.898
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-04-03T12:49:08Jocelyn LaroucheManual testing1000000188329050-
skipped known factor: 1242033047
skipped known factor: 1855608427399
skipped known factor: 428231121391773943
skipped known factor: 6067832966295855252143
--0.882--8.221%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:47:00J FeitsmaManual testing??40.755137.77827e-80.2141.66271e-7
2015-09-15T11:39:00TJAOIManual testing258259*58.571180.0020.2030.004


ECM factoring results:

Old Calculation Method

Total ECM effort:19.772 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.772 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.8120.015%
25500000.79845.010%
302500000.04995.182%
3510000000.00299.773%


ECM Summary

B1B2factorcurvesGHz-days
500005000000362.488
50000500000020.138
50000660000022017.15


Lucas-Lehmer results:
No L-L results for M1842779


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:28:29alpertronManual testing
1242033047
1855608427399
428231121391773943
55E40B6D603299__no
2017-10-19T20:37:07Oliver KruseThreadripper
1242033047
1855608427399
428231121391773943
55E40B6D603299__no
2021-03-02T11:12:26Krieselmartin
1242033047
1855608427399
428231121391773943
6067832966295855252143
5CE1217FEF83A6CAno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 188329050 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
259
2
230
240
250
260
270
280
290
2100
Last modified: 2022-04-03T12:49:08+00:00