is 2 3516089 - 1
has 1058449 decimal digits
takes 0.369 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L36EA2A57322A16DAdouble-checked
PRPA7FB89C3F768E064verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272271.987969.4444%40000001500000001.82066.4136%273.808471.4041%1.9597%
PrimeNet2600.043763.3333%150003000000.00462.9628%0.048364.4197%1.0864%
GPU722641.012365.6250%200003600000.00591.9170%1.018266.2840%0.6590%
Difference+8+270.9756+3.8194%+3980000+149640000+1.8147+4.4965%+272.7903+5.1202%+5.1202%

Known prime factors (2 factors, 166.1 bits, 0.00472275% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
35160893819761765875000796002092478.33854318331616108136
23 × 3 × 107 × 211 × 15193 × 6598199
2021-11-1615193659819921,6160.05690.1023
35160892546136303675874632646817692787.71836206937646855279156
22 × 45377 × 3062161 × 65143037
2021-11-1630621616514303716,354,1840.98141.0095

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
35160899725634103487406167163944415624478493599113088972150166.056
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T10:47:00Carsten Kossendeyleela20000240000---0.005--0.511%
2011-11-16T07:57:00markrtiny2350005933750---0.083--2.431%
2021-11-16T12:00:04mikrMSI40000001500000001250166.0561.8210.7393.6416.414%
2022-04-26T17:01:39Jocelyn LaroucheManual testing1000000145208700-
skipped known factor: 381976176587500079600209
--1.349--5.487%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-30T14:06:57ArtyomPaxioo50000250000027--0.032
2021-08-30T14:35:06ArtyomPaxioo50000250000065--0.032


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-25T00:00:00ANONYMOUSv4_computers21260--0.044--
1998-03-23T00:00:00ANONYMOUSv4_computers21260--0.044--
2009-03-20T16:38:00Jayson Kingatlas260261--0.044--
2011-07-06T02:00:00markroldgamer261262--0.087--
2012-06-20T01:19:00GrunwalderGIMPManual testing21263--0.454--
2016-02-23T16:29:32Mark RoseManual testing262263--0.279--
2015-01-27T16:52:00VictordeHollanderManual testing263264--0.558--
2015-01-27T16:52:00VictordeHollanderManual testing264265--1.063--
2016-03-04T13:09:54ramgeisManual testing265266--2.125--
2017-01-10T19:01:20Gordon SpenceManual testing266267--4.251--
2018-12-03T19:08:38TJAOIManual testing267268--8.501--
2021-01-17T08:59:28axnManual testing268269--17.00--
2021-03-17T11:32:30-Anonymous-Manual testing269270--34.00--
2021-03-17T11:32:30-Anonymous-Manual testing270271--68.01--
2021-03-19T11:33:11-Anonymous-Manual testing271272--136.0--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.948 GHz-days
Estimated T-Level:2.800
DigitsB1CurvesCompleteFacMiss
201100056 / 1000.56056.960%
255000056 / 2800.20081.844%

New Calculation Method

Total ECM effort:8.948 GHz-days
Estimated T-Level:2.800
DigitsB1CompleteFacMiss
20110001.85915.581%
25500000.16784.612%
302500000.01098.975%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.246
500006325297203.307
500006750000142.395


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-25T00:00:00ANONYMOUSv4_computers210E7EA5B4634D__0.369
1998-03-23T00:00:00ANONYMOUSv4_computers210E7EA5B4634D__0.369
1999-09-07T00:00:00ANONYMOUSv4_computers36EA2A57322A16DA0.369
1999-11-10T00:00:00ANONYMOUSv4_computers36EA2A57322A16DA0.369


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-24T00:48:49LordJuliusBabybox
381976176587500079600209
254613630367587463264681769
A7FB89C3F768E064no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 145208700 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 235000, B2 = 5933750 (P-1 stage 2)
B1 = 235000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-26T17:01:39+00:00