is 2 1034461 - 1
has 311404 decimal digits
takes 0.031 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- L-L tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26728.724170.1493%1000000011100000003.005411.7911%31.729473.6690%3.5197%
PrimeNet2560.009364.2857%4500600000.00031.9528%0.009664.9831%0.6974%
GPU722600.148566.6667%4500180000.00020.6154%0.148766.8718%0.2051%
Difference+7+28.5756+3.4826%+9995500+1109982000+3.0052+11.1756%+31.5807+6.7972%+6.7972%

Known prime factors (3 factors, 148.4 bits, 0.01434853% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
103446199308257826.56548
24 × 3
-16168.732e-126.876e-71.399e-6
1034461271028783928.014131
131
2008-07-1611313.555e-113.474e-75.912e-7
1034461178592467793521598422408889532993.8518632150839592870027116
22 × 3 × 7 × 4111 × 17981 × 486449 × 2857861
2021-07-0648644928578612.256e+90.02650.0425

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1034461269153960365612311754.579
1034461177357066899032658311833765605298492137120.416
1034461484036991990448541046402012576973419937121.865
103446148068869998094405259511139990311308665598114345148.430
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T18:59:24alpertronManual testing3000001000000012---0.036--4.082%
2021-07-16T21:47:10ViliamF3100000001110000000---3.005--11.791%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-06T15:35:16Dylan Delgadodesktoplinux300000024300000027P-12993.8510.645


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-16T09:30:00J FeitsmaManual testing??28.01499.80209e-130.0712.28355e-12


ECM factoring results:

Old Calculation Method

Total ECM effort:17.492 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:17.492 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002819.81
25000025000000447.681


Lucas-Lehmer results:
Exponent "1034461" not found


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T18:53:00Oliver KruseGTX-1
99308257
271028783
3F6F74156BAD5D__no
2017-10-15T20:20:11Oliver KruseThreadripper
99308257
271028783
3F6F74156BAD5D__no
2017-12-28T05:01:02ATHec2-1xf
99308257
271028783
3F6F74156BAD5D__no
2021-07-06T15:59:17SRJ2877LTOS
99308257
271028783
17859246779352159842240888953
723FE82C9A508282no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1110000000 (P-1 stage 2)
B1 = 3000000, B2 = 243000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2021-07-16T21:47:10+00:00