is 2 1566211 - 1
has 471477 decimal digits
takes 0.070 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
Actual26718.971868.6567%500000150000000.08354.9743%19.055470.2158%1.5591%
PrimeNet2570.012363.1579%70001100000.00082.4763%0.013164.0702%0.9123%
GPU722610.196165.5738%6500600000.00061.0513%0.196765.9357%0.3619%
Difference+6+18.7757+3.0829%+493500+14940000+0.0829+3.9229%+18.8587+4.2801%+4.2801%

Known prime factors (3 factors, 198.8 bits, 0.01269152% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1566211669501105697356891755.89421373273004
22 × 137 × 2591 × 15053
-2591150530.00480.00020.0003
156621112058202296236661302732270.031384948206092176
24 × 3 × 29 × 276543251503
2017-12-0429276543251503270.74975.831,822.6
156621185215717293965420547292272.8522720441795325324
22 × 3 × 7 × 32386211849111
2022-05-12732386211849111843.79114,280213,443

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
15662118072979770052852535982931346705141309738125.924
156621157052016951103226479439301195850252328139128.746
15662111027548357949548003655799101372133960971101744142.882
156621168794476180472584992240511076176739487584553290356
7361385713
60198.776
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:16:24alpertronManual testing5000001500000012-
skipped known factor: 66950110569735689
--0.084--4.974%


Trial Factoring results:
No TF results for M1566211


ECM factoring results:

Old Calculation Method

Total ECM effort:31.285 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:31.285 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.2630.000%
25500001.39024.916%
302500000.11689.004%
3510000000.00899.198%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024813.88
50000500000030.168
2500004000000062.069
250000400000004415.17


Lucas-Lehmer results:
No L-L results for M1566211


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-01T21:26:59Oliver KruseGTX-1
66950110569735689
FD72CE91E874C4__no
2017-10-31T04:23:19Chang Chia-Tchehomura
66950110569735689
FD72CE91E874C4__no
2017-12-04T22:17:28kkmrkkblmbrbkc4.xlarge
66950110569735689
1205820229623666130273
0E1C97B25EA8A4__no
2017-12-05T14:49:47Oliver KruseThreadripper
66950110569735689
1205820229623666130273
0E1C97B25EA8A4__no
2022-05-12T17:01:16aperson12012_VP113
66950110569735689
1205820229623666130273
8521571729396542054729
0E1C97B25EA8A4DEno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
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102
103
104
105
106
100
101
102
103
104
105
106
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109
1010
1011
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1013
1014
TF factor-bounds graph:
267
250
260
270
280
290
2100
Last modified: 2022-05-12T17:01:16+00:00