is 2 2055337 - 1
has 618719 decimal digits
takes 0.135 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2DD57649113EA2C9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26829.000169.1176%36000001800000001.25958.5632%30.259571.7622%2.6445%
PrimeNet2580.018763.7931%90001600000.00162.6669%0.020364.7587%0.9656%
GPU722620.298966.1290%90001200000.00141.3310%0.300366.5799%0.4508%
Difference+6+28.7011+2.9886%+3591000+179880000+1.2580+7.2322%+29.9592+5.1823%+5.1823%

Known prime factors (1 factor, 77.0 bits, 0.00374777% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20553371542268594282109571433612477.02937518630625588640
25 × 5 × 11 × 83663 × 254800853
2020-07-198366325480085320,5651.33102.4719

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.222%
2006-01-15T00:00:00Jocelyn Larouchev4_computers40004000---0.000--0.047%
2009-06-21T14:35:00harleeT7500_220020000260000---0.003--0.873%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.350%
2011-01-06T01:06:00Jocelyn LaroucheManual testing5000050000---0.005--0.508%
2011-01-21T13:22:00James Heinrichi7-9201350002902500---0.027--2.716%
2014-10-26T00:59:00Jocelyn LaroucheManual testing166228166228---0.016--1.058%
2016-05-15T21:00:27Jocelyn LaroucheManual testing27000048600006---0.050--3.413%
2016-09-22T12:02:52Jocelyn Larouchelow 4M27000058320006---0.055--3.551%
2016-11-07T03:11:22Jocelyn Larouchelow 4M324000324000---0.031--1.482%
2017-02-01T15:35:58mikrMSI250000012500000012---0.875--7.881%
2017-03-11T17:42:34mikrS052360000018000000012---1.259--8.563%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:04Mark RoseManual testing21260--0.075--
2009-01-02T21:08:00Sturle Sundegorky.ifi260261--0.075--
2012-03-11T17:47:00Sebastian HornbostelManual testing261262--0.149--
2013-09-01T20:20:00ramgeisManual testing262263--0.478--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.955--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.818--
2015-11-03T10:10:05ramgeisManual testing265266--3.636--
2016-08-18T20:55:12Gordon SpenceManual testing266267--7.272--
2019-03-24T00:15:08chuenkitManual testing267268--14.54--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.929 GHz-days
Estimated T-Level:22.089
DigitsB1CurvesCompleteFacMiss
2011000117 / 1001.17030.854%
2550000117 / 2800.41865.796%

New Calculation Method

Total ECM effort:9.929 GHz-days
Estimated T-Level:22.089
DigitsB1CompleteFacMiss
20110003.7742.296%
25500000.34171.098%
302500000.02197.921%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001149.67
50000500000030.255


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computers2DD57649113EA2C90.135


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-19T17:47:24argusdustyArgus-PC
154226859428210957143361
66501F118539B289no
2020-07-20T16:09:34marssystemssystem03
154226859428210957143361
66501F118539B289no


P-1 factor-bounds graph:
B1 = 3600000, B2 = 180000000 (P-1 stage 2)
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 3600000 (P-1 stage 1)
B1 = 2500000 (P-1 stage 1)
B1 = 270000, B2 = 5832000 (P-1 stage 2)
B1 = 270000, B2 = 4860000 (P-1 stage 2)
B1 = 324000 (P-1 stage 1)
B1 = 135000, B2 = 2902500 (P-1 stage 2)
B1 = 270000 (P-1 stage 1)
B1 = 166228 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 4000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-08-11T00:50:51+00:00