is 2 3323029 - 1
has 1000332 decimal digits
takes 0.349 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L46AA30FD417F6DF1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.936967.6471%40000001500000001.82068.7922%19.757570.4916%2.8445%
PrimeNet2600.046263.3333%140002600000.00422.7819%0.050464.3534%1.0200%
GPU722641.071165.6250%170003000000.00491.7244%1.076066.2178%0.5928%
Difference+4+16.8658+2.0221%+3983000+149700000+1.8156+7.0677%+18.6814+4.2738%+4.2738%

Known prime factors (1 factor, 86.2 bits, 0.00259552% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3323029919985242888365904589893372686.25013842570180524544092
22 × 139 × 163 × 1009 × 1907 × 79380253
2020-05-011907793802536,463,6010.65891.2301

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers20000280000---0.005--0.983%
2011-10-05T02:02:00harleeP4_260055000880000---0.015--1.811%
2012-11-21T20:14:00Squeeky_SquirrelP4_26002050004612500---0.068--3.457%
2018-08-06T19:37:32Jocelyn Larouchelow 4M410000820000---0.066--2.342%
2018-08-07T17:09:33Jocelyn Larouchelow 4M4100001230000---0.069--2.675%
2018-08-13T19:32:41Jocelyn Larouchelow 4M4100003280000---0.086--3.499%
2020-05-01T02:05:26mikrMSI4000000150000000122686.2501.8210.6983.6418.792%
2022-03-24T08:47:00Jocelyn LaroucheManual testing1000000134316000-
skipped known factor: 91998524288836590458989337
--1.258--7.661%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-31T00:00:00ANONYMOUSv4_computers21260--0.046--
2009-03-31T05:07:00S485122USB-A260261--0.046--
2011-09-08T09:03:00markroldgamer261262--0.092--
2012-08-25T21:54:00GrunwalderGIMPManual testing21263--0.480--
2016-02-23T16:29:25Mark RoseManual testing262263--0.295--
2015-02-11T09:06:00VictordeHollanderManual testing263264--0.591--
2015-02-11T09:06:00VictordeHollanderManual testing264265--1.124--
2016-03-02T14:55:23ramgeisManual testing265266--2.249--
2017-02-26T21:19:02Gordon SpenceManual testing266267--4.498--
2018-11-19T15:52:49TJAOIManual testing267268--8.995--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.189 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:2.189 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.189


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-01-25T00:00:00ANONYMOUSv4_computers46AA30FD417F6DF10.349
2003-10-14T00:00:00ANONYMOUSv4_computers46AA30FD417F6DF10.349


PRP results:
dateuseridcompidcofactorsres64PRP
2020-05-01T06:49:54mikrMSI
91998524288836590458989337
ED37F7113DC19989no
2020-05-01T09:59:28CrypticCluecruncher
91998524288836590458989337
ED37F7113DC19989no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 134316000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 410000, B2 = 3280000 (P-1 stage 2)
B1 = 410000, B2 = 1230000 (P-1 stage 2)
B1 = 205000, B2 = 4612500 (P-1 stage 2)
B1 = 410000, B2 = 820000 (P-1 stage 2)
B1 = 410000 (P-1 stage 1)
B1 = 205000 (P-1 stage 1)
B1 = 55000, B2 = 880000 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 20000, B2 = 280000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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2100
Last modified: 2022-03-24T08:47:00+00:00