is 2 2011211 - 1
has 605435 decimal digits
takes 0.132 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
Actual26714.774168.6567%500000150000000.12305.1265%14.897170.2635%1.6068%
PrimeNet2580.019163.7931%90001500000.00162.6098%0.020764.7380%0.9449%
GPU722620.305566.1290%80001200000.00131.2721%0.306866.5599%0.4309%
Difference+5+14.4687+2.5277%+492000+14880000+0.1216+3.8544%+14.5903+3.7036%+3.7036%

Known prime factors (4 factors, 197.4 bits, 0.00981741% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
201121173730995271032.7801833
3 × 13 × 47
-13473.974e-101.416e-62.522e-6
20112111245344264653211546.82430960060
22 × 3 × 5 × 17 × 127 × 239
2008-09-301272396.114e-61.269e-52.464e-5
201121118776413609692171650.738466793728
28 × 1823413
2014-06-0625618234130.00010.00950.0177
20112111590234031387520219932167.10839534241593436
22 × 89 × 111051240431
2019-05-168911105124043116.177576.831,077.4

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
20112119182047208666745470031672479.603
2011211138440366304377701242603592683.517
20112112338309899958661984919990236573097.561
201121111724953784642628487268818973113199.887
20112111980388830444801038716486064380475335113.931
201121129858891909540280099761824897998948136117.846
2011211172405916173646280005664611460988851023940130.341
201121114601603949028645738169632088385773982465183145146.711
2011211220152581814975565991001423968092867482607548746150.625
20112113718459978844612148342254276686079673599059128840150164.669
201121127416575511187639837440728841547861168897537250495
9733686327
60197.449
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:19:31alpertronManual testing5000001500000012-
skipped known factor: 7373099527
skipped known factor: 124534426465321
skipped known factor: 1877641360969217
--0.123--5.127%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T14:36:00markrManual testing??46.824151.45280e-60.2883.16074e-6
2014-06-06T11:41:00TJAOIManual testing??50.738164.50046e-50.2889.78650e-5


ECM factoring results:

Old Calculation Method

Total ECM effort:3.736 GHz-days
Estimated T-Level:2.150
DigitsB1CurvesCompleteFacMiss
201100043 / 1000.43064.910%
255000043 / 2800.15485.740%

New Calculation Method

Total ECM effort:3.736 GHz-days
Estimated T-Level:2.150
DigitsB1CompleteFacMiss
20110001.67618.707%
25500000.15585.611%
302500000.01099.023%


ECM Summary

B1B2factorcurvesGHz-days
500005000000352.962
50000500000010.085
50000701986870.689


Lucas-Lehmer results:
No L-L results for M2011211


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-05T21:37:42Oliver KruseGTX-3
7373099527
124534426465321
1877641360969217
E367947EC510D581no
2017-10-17T20:11:30Oliver KruseGTX-1
7373099527
124534426465321
1877641360969217
B84D53502CED44__no
2017-11-13T15:37:57kkmrkkblmbrbkc4.xlarge
7373099527
124534426465321
1877641360969217
B84D53502CED44__no
2019-05-16T05:14:32ATHec2-PRPCF
7373099527
124534426465321
1877641360969217
159023403138752021993
B84D53502CED4415no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
2
230
240
250
260
270
280
290
2100
Last modified: 2022-06-27T09:20:01+00:00