is 2 3011429 - 1
has 906531 decimal digits
takes 0.256 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LACE3CD3558638D59double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.792967.6471%32745148186647343616.370713.4730%36.163672.0060%4.3589%
PrimeNet2600.051063.3333%120002200000.00292.5169%0.053964.2562%0.9229%
GPU722641.181965.6250%130002000000.00291.3880%1.184866.1021%0.4771%
Difference+4+18.6109+2.0221%+32732148+1866273436+16.3678+12.0850%+34.9788+5.9039%+5.9039%

Known prime factors (1 factor, 75.6 bits, 0.00251106% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3011429580142719554947105481672375.6199632349285919527
3 × 3210783095306509
2021-03-31332107830953065093,479.821,588,59240,321,478

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.146%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.248%
2010-10-18T21:27:00markrtiny1150002357500---0.029--2.659%
2010-12-07T12:08:00Rob_Deetwopc150000200000---0.019--1.240%
2010-12-08T12:02:00Rob_Deetwopc200000250000---0.025--1.389%
2010-12-10T11:17:00Rob_Deetwopc250000300000---0.031--1.518%
2010-12-11T12:05:00Rob_Deetwopc300000350000---0.037--1.632%
2010-12-12T13:38:00Rob_Deetwopc350000400000---0.044--1.734%
2010-12-13T11:17:00Rob_Deetwopc400000450000---0.050--1.827%
2010-12-14T09:22:00Rob_Deetwopc450000500000---0.056--1.912%
2010-12-15T09:25:00Rob_Deetwopc500000550000---0.062--1.992%
2010-12-16T09:30:00Rob_Deetwopc550000600000---0.068--2.066%
2010-12-17T09:29:00Rob_Deetwopc600000650000---0.074--2.135%
2010-12-18T09:36:00Rob_Deetwopc650000700000---0.081--2.200%
2010-12-19T10:02:00Rob_Deetwopc700000750000---0.087--2.262%
2010-12-20T10:22:00Rob_Deetwopc750000800000---0.093--2.320%
2010-12-21T09:43:00Rob_Deetwopc800000850000---0.099--2.376%
2010-12-22T09:50:00Rob_Deetwopc850000900000---0.105--2.430%
2010-12-23T10:29:00Rob_Deetwopc900000950000---0.111--2.481%
2010-12-24T10:21:00Rob_Deetwopc9500001000000---0.118--2.529%
2010-12-25T10:14:00Rob_Deetwopc10000001100000---0.124--2.622%
2016-08-05T03:46:53trebor20000002000000---0.247--3.240%
2016-08-17T21:31:42trebor22500002250000---0.278--3.370%
2016-08-20T08:30:38trebor25000002500000---0.309--3.489%
2016-08-22T12:55:25trebor27500002750000---0.339--3.598%
2016-08-24T10:47:56trebor30000003000000---0.370--3.699%
2019-04-05T17:45:35oodairacom532745148186647343612---16.37--13.473%
2022-01-26T04:01:32Jocelyn LaroucheManual testing1000000119912100---0.923--7.459%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00ANONYMOUSv4_computers21260--0.051--
2009-01-26T21:24:00Jayson Kingatlas260261--0.051--
2010-09-07T09:02:00Sid & AndyBuzz261262--0.102--
2013-01-07T13:52:00dbaughManual testing262263--0.326--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.652--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.241--
2015-06-01T12:17:00ThaManual testing265266--2.481--
2017-02-06T12:13:40Smok_bmvManual testing266267--4.963--
2022-01-19T23:21:42Jocelyn LaroucheManual testing267268--9.93--
2018-07-16T08:59:42ramgeisManual testing267268--9.93--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.205 GHz-days
Estimated T-Level:3.100
DigitsB1CurvesCompleteFacMiss
201100062 / 1000.62053.627%
255000062 / 2800.22180.106%

New Calculation Method

Total ECM effort:7.205 GHz-days
Estimated T-Level:3.100
DigitsB1CompleteFacMiss
20110002.00013.534%
25500000.18183.464%
302500000.01198.893%


ECM Summary

B1B2factorcurvesGHz-days
500005000000576.624
50000500000050.581


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-31T00:00:00ANONYMOUSv4_computersACE3CD3558638D590.256


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-02T12:19:18rbanovmprr_srv02
58014271955494710548167
DBCAA86A92C5B1__no
2021-04-03T07:15:25XZTN4640G1
58014271955494710548167
DBCAA86A92C5B156no


P-1 factor-bounds graph:
B1 = 32745148, B2 = 1866473436 (P-1 stage 2)
B1 = 32745148 (P-1 stage 1)
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2750000 (P-1 stage 1)
B1 = 2500000 (P-1 stage 1)
B1 = 2250000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 1100000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 950000, B2 = 1000000 (P-1 stage 2)
B1 = 950000 (P-1 stage 1)
B1 = 900000, B2 = 950000 (P-1 stage 2)
B1 = 900000 (P-1 stage 1)
B1 = 850000, B2 = 900000 (P-1 stage 2)
B1 = 850000 (P-1 stage 1)
B1 = 800000, B2 = 850000 (P-1 stage 2)
B1 = 800000 (P-1 stage 1)
B1 = 750000, B2 = 800000 (P-1 stage 2)
B1 = 750000 (P-1 stage 1)
B1 = 700000, B2 = 750000 (P-1 stage 2)
B1 = 700000 (P-1 stage 1)
B1 = 650000, B2 = 700000 (P-1 stage 2)
B1 = 650000 (P-1 stage 1)
B1 = 600000, B2 = 650000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 550000, B2 = 600000 (P-1 stage 2)
B1 = 550000 (P-1 stage 1)
B1 = 500000, B2 = 550000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 450000, B2 = 500000 (P-1 stage 2)
B1 = 450000 (P-1 stage 1)
B1 = 400000, B2 = 450000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 350000, B2 = 400000 (P-1 stage 2)
B1 = 350000 (P-1 stage 1)
B1 = 300000, B2 = 350000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 250000, B2 = 300000 (P-1 stage 2)
B1 = 250000 (P-1 stage 1)
B1 = 115000, B2 = 2357500 (P-1 stage 2)
B1 = 200000, B2 = 250000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 150000, B2 = 200000 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-26T04:01:32+00:00