is 2 2718281 - 1
has 818285 decimal digits
takes 0.210 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
Actual26710.931167.1642%6000008915814605.50379.7589%16.434870.3686%3.2044%
PrimeNet2590.028362.7119%120002200000.00262.8465%0.030963.7733%1.0614%
GPU722630.587165.0794%140002200000.00281.6634%0.590065.6603%0.5809%
Difference+4+10.3440+2.0848%+586000+891361460+5.5008+8.0954%+15.8448+4.7083%+4.7083%

Known prime factors (4 factors, 181.4 bits, 0.00667290% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2718281233772167927.80143
43
-1436.639e-123.683e-74.742e-7
271828174752727511032.7991375
53 × 11
2008-09-071251252.731e-101.400e-52.849e-5
271828112984467218331340.240238836
22 × 3 × 13 × 1531
2008-09-301315319.139e-81.072e-51.750e-5
271828117679191318354906717938092580.548325190650237317384
23 × 3 × 13 × 307 × 337 × 1873 × 5378701
2019-07-2118735378701178,2910.03300.0613

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
271828117475107099173214171960.600
27182813035407038969466221112168.040
271828197062433983435016725832273.039
2718281226904955266020459636785239736131100.840
271828141329028652994134185352450711410333108.349
27182811321567771218142003357494470819855935113.348
2718281229554880119763621103572221375453189737120.788
2718281308945761715025285838602758134075980370735343141.148
271828153663541771022361233149009631943412763231079945148.589
27182811715985340218340613396621975208464969240443864747153.588
271828140114961152307373833783754962430313260292690629277
38049
55181.388
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-04T08:21:45Denial140i5-8400600000891581460-
skipped known factor: 233772167
skipped known factor: 7475272751
skipped known factor: 1298446721833
skipped known factor: 1767919131835490671793809
--5.504--9.759%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T14:37:00markrManual testing??40.240133.75097e-80.4558.12672e-8
2008-09-07T19:41:00Will EdgingtonManual testing??32.799106.26455e-110.4551.35726e-10


ECM factoring results:

Old Calculation Method

Total ECM effort:25.508 GHz-days
Estimated T-Level:2.700
DigitsB1CurvesCompleteFacMiss
201100054 / 1000.54058.117%
255000054 / 2800.19382.432%
3025000048 / 6400.07592.769%

New Calculation Method

Total ECM effort:25.508 GHz-days
Estimated T-Level:2.700
DigitsB1CompleteFacMiss
20110004.1941.509%
25500000.59655.112%
302500000.06393.848%
3510000000.00599.477%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.622
250000250000004824.89


Lucas-Lehmer results:
No L-L results for M2718281


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-19T20:59:53Oliver KruseGTX-1
233772167
7475272751
1298446721833
623BA5F1BC758A__no
2017-12-05T01:00:12kkmrkkblmbrbkc4.xlarge
233772167
7475272751
1298446721833
623BA5F1BC758A__no
2019-07-22T21:47:23nordinordiputer708E7A5808990B__?
2019-07-27T00:59:08Brett Walkerbrain
233772167
7475272751
1298446721833
1767919131835490671793809
623BA5F1BC758A6Cno


P-1 factor-bounds graph:
B1 = 600000, B2 = 891581460 (P-1 stage 2)
B1 = 600000 (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:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-01-04T08:21:45+00:00