is 2 2174611 - 1
has 654624 decimal digits
takes 0.143 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
Actual26713.664067.1642%500000150000000.12305.1748%13.787068.8634%1.6992%
PrimeNet2580.017762.0690%100001800000.00182.8570%0.019563.1526%1.0837%
GPU722620.282564.5161%110001600000.00181.5680%0.284365.0725%0.5564%
Difference+5+13.3815+2.6481%+489000+14840000+0.1212+3.6069%+13.5027+3.7909%+3.7909%

Known prime factors (3 factors, 171.1 bits, 0.00786760% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
217461112086313969131340.137277896
23 × 3 × 11579
-8115797.750e-86.087e-50.0001
217461181396213419821031652.8541871512041
3 × 7 × 89119621
2014-08-277891196210.00030.46290.8646
21746113237558152304634841462872478.09974439937816571213
41047 × 1813529315579
2022-06-0441047181352931557942,0009,419.917,594

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
217461198378019129026968411354480392892.990
217461139130144322070220187616388605221203136118.236
2174611263524974324069496628361671028138790156140130.953
217461131850455783876257366882951006932634687680891632811
93
52171.090
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T13:45:56alpertronManual testing5000001500000012-
skipped known factor: 1208631396913
--0.123--5.175%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-08-27T11:13:00TJAOIManual testing??52.854165.14166e-50.3080.000


ECM factoring results:

Old Calculation Method

Total ECM effort:4.125 GHz-days
Estimated T-Level:1.200
DigitsB1CurvesCompleteFacMiss
201100024 / 1000.24078.568%
255000024 / 2800.08691.772%

New Calculation Method

Total ECM effort:4.125 GHz-days
Estimated T-Level:1.200
DigitsB1CompleteFacMiss
20110001.02635.834%
25500000.09790.779%
302500000.00699.384%


ECM Summary

B1B2factorcurvesGHz-days
500005000000100.855
50000715000070.704
500004503922572.566


Lucas-Lehmer results:
No L-L results for M2174611


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-10T16:06:25kkmrkkblmbrbkold
1208631396913
8139621341982103
EE71C3E07A55EF__no
2017-10-22T19:28:54Oliver KruseGTX-0
1208631396913
8139621341982103
EE71C3E07A55EF__no
2022-06-10T15:53:14XZT800G5Mini1
1208631396913
8139621341982103
323755815230463484146287
BAE25D633EEAFAF7no


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
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1010
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1013
TF factor-bounds graph:
267
2
240
250
260
270
280
290
2100
Last modified: 2022-08-06T14:55:52+00:00