is 2 3349033 - 1
has 1008160 decimal digits
takes 0.352 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0F337E3BAC3DEBE2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.797667.6471%40000001500000001.82068.7986%19.618270.4937%2.8466%
PrimeNet2600.045963.3333%140002600000.00422.7858%0.050064.3548%1.0214%
GPU722641.062865.6250%180003000000.00511.7553%1.067966.2284%0.6034%
Difference+4+16.7348+2.0221%+3982000+149700000+1.8155+7.0434%+18.5503+4.2653%+4.2653%

Known prime factors (2 factors, 202.0 bits, 0.00603016% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33490331223099372884682504318541532786.66118260485532460899972
22 × 37 × 241 × 263 × 124121 × 15683123
2020-09-11124121156831238,358,1000.14800.2430
33490335083458708188020654428850638175618335115.2917589442546830713006454177427
3 × 7 × 53 × 211 × 227 × 271 × 809 × 953 × 40819 × 16692959
2020-09-1140819166929595.637e+100.14440.2587

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
334903362175751580699463009146323641962678677982789478181
61061977999
61201.952
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-05T09:06:00Carsten Kossendeydurandal15000206250---0.004--0.809%
2011-10-10T18:18:00harleeP4_260055000907500---0.015--1.829%
2012-12-16T12:07:00Squeeky_SquirrelP4_26002300006670000---0.088--3.805%
2020-09-11T00:43:43mikrMSI40000001500000001261201.9521.8210.7033.6418.799%
2022-02-16T01:06:46Jocelyn LaroucheManual testing1000000119912100-
skipped known factor: 122309937288468250431854153
skipped known factor: 50834587081880206544288506381756183
--1.139--7.543%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-19T00:00:00DLv4_computers21260--0.046--
2009-03-28T19:38:00S485122USB-Z260261--0.046--
2011-08-22T15:32:00markroldgamer261262--0.092--
2012-11-15T00:20:00GrunwalderGIMPManual testing21263--0.477--
2016-02-23T16:29:26Mark RoseManual testing262263--0.293--
2015-02-11T09:07:00VictordeHollanderManual testing263264--0.586--
2015-02-11T09:07:00VictordeHollanderManual testing264265--1.116--
2016-03-03T16:15:27ramgeisManual testing265266--2.231--
2017-03-04T00:39:51Gordon SpenceManual testing266267--4.463--
2018-10-29T15:18:22TJAOIManual testing267268--8.925--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.193 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:2.193 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.193


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-23T00:00:00DLv4_computers0F337E3BAC3DEBE20.352
1999-10-15T00:00:00ANONYMOUSv4_computers0F337E3BAC3DEBE20.352


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-13T10:32:09fre_gamesgpu
122309937288468250431854153
50834587081880206544288506381756183
FE3BA33988607AE7no
2020-09-14T01:15:47kutensdeneb
122309937288468250431854153
50834587081880206544288506381756183
FE3BA33988607AE7no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 230000, B2 = 6670000 (P-1 stage 2)
B1 = 230000 (P-1 stage 1)
B1 = 55000, B2 = 907500 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
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103
104
105
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109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
2110
2120
Last modified: 2022-02-16T01:06:46+00:00