is 2 2129971 - 1
has 641186 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
Actual26713.950467.1642%500000150000000.12305.1620%14.073468.8592%1.6950%
PrimeNet2580.018062.0690%90001600000.00162.6849%0.019763.0874%1.0184%
GPU722620.288464.5161%100001500000.00171.4861%0.290165.0435%0.5273%
Difference+5+13.6619+2.6481%+490000+14850000+0.1213+3.6759%+13.7833+3.8157%+3.8157%

Known prime factors (2 factors, 105.5 bits, 0.00495181% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
212997114824598171030.465348
22 × 3 × 29
-4297.222e-115.112e-77.761e-7
2129971379571084725207678703032375.0078910240672882581
37 × 240817315483313
2021-12-27372408173154833137,030.31,250,8652,336,268

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21299715626988808002228706570886511455132105.472
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-18T10:42:14alpertronManual testing5000001500000012-
skipped known factor: 1482459817
--0.123--5.162%


Trial Factoring results:
No TF results for M2129971


ECM factoring results:

Old Calculation Method

Total ECM effort:1.364 GHz-days
Estimated T-Level:0.800
DigitsB1CurvesCompleteFacMiss
201100016 / 1000.16085.146%
255000016 / 2800.05794.436%

New Calculation Method

Total ECM effort:1.364 GHz-days
Estimated T-Level:0.800
DigitsB1CompleteFacMiss
20110000.51659.683%
25500000.04795.442%
302500000.00399.713%


ECM Summary

B1B2factorcurvesGHz-days
500005000000131.108
50000500000030.256


Lucas-Lehmer results:
No L-L results for M2129971


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T14:16:06Oliver KruseGTX-3
1482459817
FD9CE1519356B2__no
2017-11-18T05:23:35kkmrkkblmbrbkold
1482459817
FD9CE1519356B2__no
2021-12-27T12:51:39MarkSdesktop-i7
1482459817
37957108472520767870303
566BB52ACD129BCFno


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
1013
1014
1015
TF factor-bounds graph:
267
230
240
250
260
270
280
290
2100
Last modified: 2022-02-28T23:10:11+00:00