is 2 2418001 - 1
has 727891 decimal digits
takes 0.163 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
Actual26712.288667.1642%2000000600000000.50557.6211%12.794169.6666%2.5025%
PrimeNet2590.031862.7119%100001800000.00192.5220%0.033663.6523%0.9404%
GPU722630.660165.0794%100001400000.00171.2768%0.661765.5252%0.4459%
Difference+4+11.6286+2.0848%+1990000+59860000+0.5038+6.3443%+12.1324+4.1414%+4.1414%

Known prime factors (4 factors, 193.6 bits, 0.00800604% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2418001121867250411133.5052520
23 × 32 × 5 × 7
-997.314e-108.816e-71.794e-6
241800123167109381111341.075479055
3 × 5 × 109 × 293
2008-07-141092932.049e-71.166e-52.173e-5
241800171563273853488091652.6681479802404
22 × 3 × 79 × 1560973
2014-08-207915609730.00040.00830.0156
2418001932764052857340244892066.33819287917020244
22 × 17 × 173 × 1639571321
2018-02-20173163957132111.7058.750216.343

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2418001282331192022359249375512374.580
2418001872121941486243871598261692686.173
2418001165791419303408790953465597992993.743
241800111367339040301195963058035290493199.843
241800121609446839313471087914263740027933107.413
241800166751649355319279892820293061298360136119.006
241800120204544412077826893721334687567722675939127.248
2418001263348386918819781355714270381676322968643943140.918
2418001813483996726520974819920861563083273002905264146152.511
2418001154644276198418257288420680671578467854936891771149160.082
241800118846072731945840606883770684825900112041729744215
712101151
59193.586
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2018-09-28T16:26:24alpertronManual testing20000006000000012-
skipped known factor: 12186725041
skipped known factor: 2316710938111
skipped known factor: 7156327385348809
--0.505--7.621%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-08-20T11:17:00TJAOIManual testing??52.668160.0000.3630.000


ECM factoring results:

Old Calculation Method

Total ECM effort:0.356 GHz-days
Estimated T-Level:0.200
DigitsB1CurvesCompleteFacMiss
20110004 / 1000.04096.060%
25500004 / 2800.01498.579%

New Calculation Method

Total ECM effort:0.356 GHz-days
Estimated T-Level:0.200
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.267
50000500000010.089


Lucas-Lehmer results:
No L-L results for M2418001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-13T06:13:52Oliver KruseGTX-203928300F4D828__no
2017-11-27T01:13:47kkmrkkblmbrbkc4.xlarge
12186725041
2316710938111
7156327385348809
03928300F4D828__no
2018-02-23T06:53:28Oliver KruseGTX-5
12186725041
2316710938111
7156327385348809
93276405285734024489
03928300F4D828__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (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:
267
2
230
240
250
260
270
280
290
2100
Last modified: 2018-10-20T18:21:27+00:00