is 2 214943 - 1
has 64705 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267138.240973.1343%30000000100708329922204,464.407323.2174%4,602.648279.3718%6.2375%
PrimeNet2400.000055.0000%2200550000.000013.0216%0.000060.8597%5.8597%
GPU722440.000059.0909%4000900000.00019.3540%0.000162.9176%3.8267%
Difference+23+138.2409+14.0434%+29996000+10070832902220+4,464.4072+13.8634%+4,602.6481+16.4543%+2.4109%

Known prime factors (4 factors, 281.5 bits, 0.13096345% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
214943429887618.7141
1
-111.625e-138.136e-91.656e-8
21494349027049618570891652.12211404663008
25 × 3 × 347 × 342359
2014-07-283473423590.00500.00020.0003
21494330797410581022443914789772581.3497164087823521222816
25 × 3 × 17 × 113 × 1303 × 2309 × 12912013
2016-04-012309129120133,982,8200.00570.0107
21494384462425841612898724671319969803719274339129.3121964763352182041255697355112048397
32 × 7 × 137 × 2617 × 6959 × 9623 × 7773179 × 167104989937
2022-02-2577731791671049899377.290e+1174.134138.35

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21494321076091279378584189432270.836
214943132394064424439953471972298559931100.063
2149431509906176679287500708620120835322191795341133.472
21494336309298857773444194052779727859011467671004145148.025
214943649089036574128865817126577885534151064306131146152.185
21494341409435426416197492119881126540488164396102975139
05127
55181.434
21494317801377967155779891294939337845110835527747519673
60133330649
61200.148
21494326012240073133125847778003429624675162809328870131
24414981463911
64210.661
21494311182323848318980071323742560351062731714613959994
11015383136576308057
70229.374
21494312753033847556758373938014594084211047021236255929
006028637037631214210393015079
80262.783
21494354823634616246321870970912798070792343708181903525
52614632690196169783263222073266073
85281.497
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-05-24T20:15:09Oliver KruseOllaptop300000003000000000-
skipped known factor: 429887
skipped known factor: 4902704961857089
skipped known factor: 3079741058102244391478977
--1.561--12.426%
2022-02-25T18:19:55Oliver KruseThreadripper-PC300000001007083299222039129.3124,4640.0028,92923.217%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-12-03T19:32:43fbaurubuntu1500000001260000000027--5.969


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-07-28T15:25:00TJAOIManual testing??52.122160.0020.0030.005


ECM factoring results:
Total ECM effort:11.554 GHz-days
Estimated T-Level:27.926
DigitsB1CompleteFacMiss
201100039.2360.000%
25500005.6000.370%
302500000.58555.701%
3510000000.04895.324%
4030000000.00399.681%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000001991.184
250000250000003329.88
25000038500000140.491


Lucas-Lehmer results:
No L-L results for M214943


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T03:23:44Oliver KruseOllaptop2AC2BF7D52E130__?
2017-09-22T10:03:45Oliver KruseManual testing2AC2BF7D52E130__?
2017-10-12T09:59:13kkmrkkblmbrbkc4.xlarge2AC2BF7D52E130__no
2020-04-17T19:12:59Oliver KruseAddPrpType5
429887
4902704961857089
3079741058102244391478977
696EBE7CD233DB__no
2022-02-26T01:23:30LordJuliusWhiteBox
429887
4902704961857089
3079741058102244391478977
844624258416128987246713199698037192743
696EBE7CD233DB8Dno
2022-02-26T11:09:22Oliver KruseServer-Phi
429887
4902704961857089
3079741058102244391478977
844624258416128987246713199698037192743
696EBE7CD233DB8Dno
2022-05-12T18:21:31Jorge CoveiroManual testing
429887
696EBE7CD233DB8Dno


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
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TF factor-bounds graph:
267
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Last modified: 2022-05-12T18:21:31+00:00