is 2 2129051 - 1
has 640909 decimal digits
takes 0.140 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
Actual26713.956467.1642%500000150000000.12305.1617%14.079468.8591%1.6949%
PrimeNet2580.018062.0690%90001600000.00162.6847%0.019763.0873%1.0183%
GPU722620.288664.5161%100001400000.00161.4554%0.290265.0326%0.5164%
Difference+5+13.6679+2.6481%+490000+14860000+0.1214+3.7063%+13.7892+3.8265%+3.8265%

Known prime factors (4 factors, 146.7 bits, 0.00688939% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21290514258103722.0221
1
-112.625e-139.534e-81.940e-7
212905117032409824.0224
22
2008-07-14441.051e-123.813e-77.761e-7
212905196062781131033.1612256
24 × 3 × 47
2008-07-1416477.999e-101.686e-63.104e-6
21290512049288435322645175692167.47448126804743584
25 × 7 × 59 × 3641556049
2019-10-1459364155604925.27318.91535.328

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2129051725257518601271446.044
2129051409045216517996391755.183
21290511636180577883642171857.183
21290516967025427228070375003512479.205
21290518726081234312661390541116072789.495
212905134904318789385339594228937212891.495
2129051196860346434639424444958866729731100.635
21290511486261845500380826822050202207126335113.517
2129051838251631734377437147352685298335759137122.657
21290513353005936356470444671137406316742847338124.657
212905114277444636617295869865504203249541668316671945146.679
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T11:24:12alpertronManual testing5000001500000012-
skipped known factor: 4258103
skipped known factor: 17032409
skipped known factor: 9606278113
--0.123--5.162%


Trial Factoring results:
No TF results for M2129051


ECM factoring results:

Old Calculation Method

Total ECM effort:1.837 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:1.837 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.66851.260%
25500000.06094.160%
302500000.00499.629%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
50000500000030.256
50000500000030.256
50000594695870.643
50000675000070.682


Lucas-Lehmer results:
No L-L results for M2129051


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T12:39:22Oliver KruseGTX-3
4258103
17032409
9606278113
7035C93AB564F1__no
2017-11-18T05:44:11kkmrkkblmbrbkold
4258103
17032409
9606278113
7035C93AB564F1__no
2019-10-15T01:43:58mnd927016b
4258103
17032409
9606278113
204928843532264517569
6031C6795B26A69Eno
2019-10-15T02:56:48JaytholomewJaytholomew
4258103
17032409
9606278113
204928843532264517569
6031C6795B26A69Eno


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
TF factor-bounds graph:
267
220
230
240
250
260
270
280
290
2100
Last modified: 2022-05-16T17:20:17+00:00