is 2 3220051 - 1
has 969332 decimal digits
takes 0.274 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB4A69FA23F937676double-checked
PRP1D015F683D28C3C7verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26937.076168.1159%40000001500000001.47538.1034%38.551470.6996%2.5837%
PrimeNet2600.047763.3333%130002400000.00312.6605%0.050864.3088%0.9755%
GPU722641.105465.6250%160002600000.00361.6176%1.109066.1811%0.5561%
Difference+5+35.9707+2.4909%+3984000+149740000+1.4717+6.4858%+37.4424+4.5186%+4.5186%

Known prime factors (1 factor, 87.2 bits, 0.00270884% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32200511810063600114728618159398412787.22628106132482291873920
27 × 3 × 5 × 167 × 87656351304553
2020-12-251678765635130455314,410,901589,3821,100,801

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T00:37:00Carsten Kossendeydurandal15000191250---0.003--0.669%
2011-09-04T13:17:00harleeP4_2600600001035000---0.014--1.686%
2014-06-03T02:15:00Jocelyn LaroucheManual testing7993379933---0.010--0.651%
2014-09-29T22:05:00Jocelyn LaroucheManual testing9986699866---0.012--0.747%
2015-12-14T15:49:37Squeeky_SquirrelP4_260015500039525006---0.045--2.845%
2016-05-15T20:58:44Jocelyn LaroucheManual testing35131563236706---0.084--3.583%
2020-03-02T12:20:04mikrMSI400000015000000012---1.475--8.103%
2021-01-17T23:14:13Jocelyn LaroucheManual testing38131532200516---0.066--3.098%
2022-01-06T11:34:53Jocelyn LaroucheManual testing1264321116447100---0.930--7.038%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-27T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-05T22:51:00S485122USB-A260261--0.048--
2011-10-22T14:43:00markroldgamer261262--0.095--
2013-01-03T08:47:00dbaughManual testing262263--0.305--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.610--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.160--
2015-06-24T21:57:00ThaManual testing265266--2.321--
2021-02-21T11:36:43Jocelyn LaroucheManual testing265266--2.321--
2021-02-22T09:03:47Jocelyn LaroucheManual testing266267--4.641--
2017-03-20T00:06:22Gordon SpenceManual testing266267--4.641--
2018-12-24T09:14:04TJAOIManual testing267268--9.283--
2021-12-11T12:17:53Jocelyn LaroucheManual testing268269--18.57--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.117 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:2.117 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.69250.042%
25500000.06493.795%
302500000.00499.597%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.764
50000500000030.353


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-07T00:00:00ANONYMOUSv4_computersB4A69FA23F9376760.274
1999-10-21T00:00:00ANONYMOUSv4_computersB4A69FA23F9376760.274
2000-03-22T00:00:00ANONYMOUSv4_computersB4A69FA23F9376760.274
2000-05-31T00:00:00ANONYMOUSv4_computersB4A69FA23F9376760.274
2000-08-01T00:00:00ANONYMOUSv4_computersB4A69FA23F9376760.274
2000-08-17T00:00:00ANONYMOUSv4_computersB4A69FA23F9376760.274


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-26T07:24:42Niels_Mache_Nextcloudconf4-a
181006360011472861815939841
1D015F683D28C3C7no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1264321, B2 = 116447100 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1264321 (P-1 stage 1)
B1 = 351315, B2 = 6323670 (P-1 stage 2)
B1 = 381315, B2 = 3220051 (P-1 stage 2)
B1 = 381315 (P-1 stage 1)
B1 = 155000, B2 = 3952500 (P-1 stage 2)
B1 = 351315 (P-1 stage 1)
B1 = 155000 (P-1 stage 1)
B1 = 60000, B2 = 1035000 (P-1 stage 2)
B1 = 99866 (P-1 stage 1)
B1 = 79933 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-06T11:34:53+00:00