is 2 12700469 - 1
has 3823223 decimal digits
takes 5.188 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2684.693164.7059 %2500002532921308.31368.0721 %13.006767.5548 %
Target2684.693164.7059 %90000110000000.40543.0976 %5.098565.7992 %
Difference---+160000+242292130+7.9082+4.9744%+7.9082+1.7557 %

Known prime factors (4 factors, 223.2 bits, 0.00175768% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12700469273060083511134.6681075
52 × 43
-25432.221e-101.539e-53.014e-5
1270046968589309316249031652.607270026679
3 × 133 × 53 × 773
2014-08-18219721976.298e-50.00130.0026
12700469264864952631858970972064.5221042736896692
22 × 32 × 2161 × 13403477
2017-10-312161134034770.57140.43370.8078
1270046931936180168953058660492271.436125728349752096
25 × 7 × 13 × 839 × 51461197
2022-04-228395146119766.6271.66113.1016

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-04-22Lisander ViaeneDesktop25000025329213022271.4369.758.072%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2014-08-18TJAOIManual testing??
52.607
16
6.37935e-5
2017-10-31TJAOIManual testing264265*
64.522
20
0.154
2022-06-23LordJuliusManual testing265267
2022-04-18Lisander ViaeneManual testing267268


ECM factoring results:
No ECM results for M12700469


Lucas-Lehmer results:
No L-L results for M12700469


PRP results:
dateuseridcompidcofactorsres64
2022-05-03Poaooffice-CN3
27306008351
6858930931624903
26486495263185897097
3193618016895305866049
FB40CF61E67832E8


CERT results:
dateuseridcompid
2022-05-03curtiscgrn016--08l


P-1 factor-bounds graph:
B1 = 250000, B2 = 253292130 (P-1 stage 2)
B1 = 250000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
this exponent TF target: 68
TF double-checked to: 67
250
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280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00