is 2 556069 - 1
has 167394 decimal digits
takes 0.008 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
Actual26753.435770.1493 %200000062816453707.277011.8093 %60.712673.6744 %
Target2440.000054.5455 %1000016000000.002015.0051 %0.002061.3660 %
Difference+23+53.4357+15.6038 %+1990000+6280045370+7.2749-3.1958 %+60.7106+12.3085 %

Known prime factors (1 factor, 25.1 bits, 0.00451111% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
55606935588417825.08532
25
-32328.094e-126.767e-71.377e-6

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-17alpertronManual testing15000005000000012
skipped known factor: 35588417
---32.973%
2022-12-07USAFSSUSAFSACS20000006281645370
skipped known factor: 35588417
--7.58246.143%


Trial Factoring results:
5758596061626364656667
No TF results for M556069


ECM factoring results:
Total ECM effort:28.311 GHz-days
Estimated T-Level:27.602
DigitsB1CompleteFacMiss
201100037.5350.000%
25500005.1410.585%
302500000.52059.434%
3510000000.04295.918%
4030000000.00399.726%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002814.543
2500002500000029423.77


Lucas-Lehmer results:
No L-L results for M556069


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-2
35588417
229B15F2B06CDAA1
2017-09-28Oliver KruseManual testing
35588417
229B15F2B06CDAA1
2017-11-09kkmrkkblmbrbkc4.large
35588417
229B15F2B06CDAA1
2020-04-19Oliver KruseAddPrpType5
35588417
75E991AF6EEDEE85


CERT results:
No CERT results for M556069


P-1 factor-bounds graph:
B1 = 2000000, B2 = 6281645370 (P-1 stage 2)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1500000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=27.6 ~= 75-bit
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280
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Last modified: 2024-03-13T02:15:48+00:00