is 2 3817277 - 1
has 1149115 decimal digits
takes 0.401 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP14C913B329BBF722verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26931.275468.1159%150000007500000008.382811.1374%39.658271.6670%3.5510%
PrimeNet2600.040263.3333%170003400000.00533.1904%0.045564.5031%1.1698%
GPU722640.932465.6250%240004500000.00722.1649%0.939666.3692%0.7442%
Difference+5+30.3430+2.4909%+14976000+749550000+8.3756+8.9724%+38.7186+5.2978%+5.2978%

Known prime factors (1 factor, 74.8 bits, 0.00195887% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3817277323346028076005320688012374.7754235296889327200
25 × 52 × 859 × 6163121201
2021-10-1185961631212011,805.051.13795.509

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-24T04:43:00Carsten Kossendeyleela20000270000---0.005--0.859%
2011-11-03T02:35:00Squeeky_SquirrelT7500_2200650001121250---0.019--1.806%
2014-09-20T22:31:00Jocelyn LaroucheManual testing8181481814---0.012--0.682%
2016-01-31T15:29:04Jocelyn LaroucheManual testing25872725872706---0.059--2.862%
2016-01-31T15:29:07Jocelyn LaroucheManual testing31047231047206---0.070--3.065%
2021-01-04T11:50:35axnManual testing15000000750000000---8.383--11.137%
2022-03-03T20:34:21Jocelyn LaroucheManual testing9000090000---0.014--0.724%
2022-03-22T11:10:15Jocelyn LaroucheManual testing100000100000---0.015--0.772%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:40Mark RoseManual testing21260--0.040--
2009-02-26T16:01:00S485122USB-Z260261--0.040--
2011-03-15T00:50:00markroldgamer261262--0.080--
2012-03-23T23:24:00GrunwalderGIMPManual testing21263--0.418--
2016-02-23T16:29:40Mark RoseManual testing262263--0.257--
2015-01-18T20:59:00VictordeHollanderManual testing263264--0.514--
2015-01-18T20:59:00VictordeHollanderManual testing264265--0.979--
2016-02-16T14:28:24YxinityManual testing265266--1.958--
2016-11-17T14:52:21Gordon SpenceManual testing266267--3.915--
2018-10-08T14:27:12TJAOIManual testing267268--7.830--
2020-10-26T10:35:19TJAOIManual testing268269--15.66--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.950 GHz-days
Estimated T-Level:0.650
DigitsB1CurvesCompleteFacMiss
201100013 / 1000.13087.752%
255000013 / 2800.04695.455%

New Calculation Method

Total ECM effort:1.950 GHz-days
Estimated T-Level:0.650
DigitsB1CompleteFacMiss
20110000.41965.747%
25500000.03896.281%
302500000.00299.767%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.800
50000500000010.150


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-29T00:00:00hetmanv4_computersCC4416B46D6A38__0.401


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-18T06:43:45GANLMS-11
32334602807600532068801
14C913B329BBF722no


P-1 factor-bounds graph:
B1 = 15000000, B2 = 750000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 310472, B2 = 3104720 (P-1 stage 2)
B1 = 258727, B2 = 2587270 (P-1 stage 2)
B1 = 310472 (P-1 stage 1)
B1 = 258727 (P-1 stage 1)
B1 = 65000, B2 = 1121250 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 81814 (P-1 stage 1)
B1 = 65000 (P-1 stage 1)
B1 = 20000, B2 = 270000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
101
102
103
104
105
106
107
108
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-03-22T11:10:15+00:00