is 2 4006423 - 1
has 1206054 decimal digits
takes 0.500 GHz-days to do one PRP test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-L00079C19BAC81693double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27059.641968.5714%46000001250000002.01827.5047%61.660170.9301%6.9956%
PrimeNet2610.076763.9344%160003200000.00592.7287%0.082664.9186%0.9841%
GPU722651.821066.1538%200003600000.00701.7039%1.828066.7306%0.5767%
Difference+5+57.8209+2.4176%+4580000+124640000+2.0112+5.8008%+59.8321+4.1995%+4.1995%

Known prime factors (1 factor, 81.3 bits, 0.00202945% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
400642329937758280883555884571432581.308373622034928458077
19 × 6661 × 2952156977603
2021-05-2566612952156977603132,21229,08854,328

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00Team Prime Ribv4_computers20000300000---0.006--0.769%
2010-01-02T05:48:00Squeeky_SquirrelP4_260040000600000---0.013--1.184%
2013-02-08T17:06:00Squeeky_SquirrelP4_2600650001056250---0.022--1.575%
2013-07-30T05:55:00Squeeky_SquirrelP4_26001200002280000---0.043--2.195%
2015-01-01T15:08:00Nesowanewfs2250004556250---0.083--2.890%
2017-10-22T09:12:36mikrS067460000012500000012---2.018--7.505%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-25T03:59:19ATHec2-P_12500000250000027P+12581.3080.606


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-02T00:00:00ANONYMOUSv4_computers?261--0.038--
1998-08-09T00:00:00ANONYMOUSv4_computers?261--0.038--
2009-11-06T16:57:00GrunwalderGIMPManual testing21263--0.398--
2016-02-23T16:29:45Mark RoseManual testing261263--0.322--
2013-07-22T09:32:00JayderManual testing263264--0.490--
2013-10-20T21:36:00David CampeauManual testing264265--0.933--
2015-05-15T22:09:00snme2pm1Manual testing265266--1.865--
2016-08-29T11:54:24kkmrkkblmbrbkManual testing266267--3.730--
2018-08-29T17:55:13mikrManual testing267268--7.461--
2019-04-12T15:30:30mikrManual testing268269--14.92--
2019-04-12T15:30:30mikrManual testing269270--29.84--


ECM factoring results:
Total ECM effort:2.160 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

ECM Summary

B1B2factorcurvesGHz-days
500005000000122.160


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-08-30T00:00:00ANONYMOUSv4_computers00079C19BAC816930.500
1999-10-07T00:00:00ANONYMOUSv4_computers00079C19BAC816930.500


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-26T08:10:49Yuji Hasegawavj22m
2993775828088355588457143
AC67B81ACDAB6A16no
2021-05-26T09:59:00ATHec2-PRPCFDC
2993775828088355588457143
AC67B81ACDAB6A16no


P-1 factor-bounds graph:
B1 = 4600000, B2 = 125000000 (stage 2)
B1 = 4600000 (stage 1)
B1 = 225000, B2 = 4556250 (stage 2)
B1 = 120000, B2 = 2280000 (stage 2)
B1 = 225000 (stage 1)
B1 = 120000 (stage 1)
B1 = 65000, B2 = 1056250 (stage 2)
B1 = 40000, B2 = 600000 (stage 2)
B1 = 65000 (stage 1)
B1 = 40000 (stage 1)
B1 = 20000, B2 = 300000 (stage 2)
B1 = 20000 (stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
270
269
268
267
266
265
264
263
261
250
260
270
280
290
2100
Last modified: 2021-05-26T09:59:00+00:00