is 2 1030357 - 1
has 310169 decimal digits
takes 0.031 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
Actual26728.838570.1493%1000000010000000002.747811.6420%31.586373.6245%3.4752%
PrimeNet2560.009364.2857%4500600000.00031.9511%0.009664.9825%0.6968%
GPU722600.149166.6667%4500180000.00020.6148%0.149366.8716%0.2049%
Difference+7+28.6894+3.4826%+9995500+999982000+2.7476+11.0272%+31.4370+6.7529%+6.7529%

Known prime factors (2 factors, 55.9 bits, 0.00543007% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
103035741214281825.29720
22 × 5
-454.357e-121.742e-73.499e-7
103035716877247671030.652819
32 × 7 × 13
2008-07-169131.634e-103.962e-77.872e-7

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1030357695583627977975271755.949
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T18:59:21alpertronManual testing3000001000000012-
skipped known factor: 41214281
skipped known factor: 1687724767
--0.036--4.080%
2021-07-21T10:31:17ViliamF3100000001000000000-
skipped known factor: 41214281
skipped known factor: 1687724767
--2.748--11.642%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-04T16:57:22Dylan Delgadodesktoplinux300000024300000027--0.645


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-16T09:30:00J FeitsmaManual testing??30.652102.46103e-110.0715.73958e-11


ECM factoring results:

Old Calculation Method

Total ECM effort:17.483 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:17.483 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
25000025000000447.677


Lucas-Lehmer results:
No L-L results for M1030357


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T18:29:08Oliver KruseGTX-0
41214281
1687724767
37175CF205E2AC__no
2017-10-18T10:03:43kkmrkkblmbrbkc4.xlarge
41214281
1687724767
37175CF205E2AC__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1000000000 (P-1 stage 2)
B1 = 10000000 (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
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2021-07-21T10:31:17+00:00