is 2 153757 - 1
has 46286 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE62013B2C0474C__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267193.252573.1343%10000000020000000000.975512.0982%194.227976.3846%3.2503%
PrimeNet2400.000055.0000%1700360000.000010.9346%0.000059.9206%4.9206%
GPU722440.000059.0909%2800550000.00007.4431%0.000062.1358%3.0449%
Difference+23+193.2524+14.0434%+99997200+1999945000+0.9754+4.6551%+194.2279+14.2488%+14.2488%

Known prime factors (1 factor, 65.1 bits, 0.04231339% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
153757384547738552241114092065.060125050481783672
23 × 444671 × 35152529
2008-01-134446713515252961.0410.01120.0171

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.003--2.519%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.422%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.064%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.834%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.721%
2016-11-24T10:22:20kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 38454773855224111409
--0.975--12.098%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-29T00:00:00ANONYMOUSv4_computers252253--0.004--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.016--
2022-03-07T03:53:53LordJuliusManual testing254255--0.016--
2001-01-08T00:00:00ANONYMOUSv4_computers21256--0.062--
2002-07-14T00:00:00ANONYMOUSv4_computers21257--0.125--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.620 GHz-days
Estimated T-Level:29.961
DigitsB1CurvesCompleteFacMiss
2011000909 / 1009.0900.011%
2550000909 / 2803.2463.869%
30250000635 / 6400.99237.048%
35100000012 / 15660.00899.236%

New Calculation Method

Total ECM effort:12.620 GHz-days
Estimated T-Level:29.961
DigitsB1CompleteFacMiss
201100069.1750.000%
255000010.1500.004%
302500001.09233.546%
3510000000.09391.151%
4030000000.00699.354%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002740.953
2500002500000062310.83
1000000100000000120.835


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-01-21T00:00:00ANONYMOUSv4_computersE62013B2C0474C__0.001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T23:19:59Oliver KruseOllaptop
38454773855224111409
187A5A346FFB6A__no
2017-09-22T10:02:53Oliver KruseManual testing
38454773855224111409
187A5A346FFB6A__no
2017-10-11T21:50:52kkmrkkblmbrbkc4.xlarge187A5A346FFB6A__no
2020-04-17T15:47:45Oliver KruseAddPrpType5
38454773855224111409
FAC20AF5221B78__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T03:53:53+00:00