is 2 2118497 - 1
has 637732 decimal digits
takes 0.139 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
Actual26714.025967.1642%500000150000000.12305.1586%14.148968.8581%1.6939%
PrimeNet2580.018162.0690%90001600000.00162.6822%0.019863.0863%1.0174%
GPU722620.290064.5161%100001400000.00161.4539%0.291665.0320%0.5159%
Difference+5+13.7359+2.6481%+490000+14860000+0.1214+3.7047%+13.8573+3.8260%+3.8260%

Known prime factors (3 factors, 166.6 bits, 0.00786467% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
211849743939619167191341.9991037047
11 × 23 × 4099
-2340992.031e-72.336e-53.977e-5
21184971178530346475191546.74427815247
32 × 17 × 137 × 1327
2008-09-3013713277.152e-61.924e-52.658e-5
21184972762070849900629924309112477.87065189397244854015
32 × 5 × 7 × 31 × 613 × 10890410327
2019-09-286131089041032725,94156.568105.65

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21184975178417460109633017979701612788.743
2118497121364341257430492129027448674330100937119.869
21184973255184315722411897478249552984505980938124.614
211849714303155915185275428189139128444804846744683204667
1
51166.613
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-27T12:22:51alpertronManual testing5000001500000012-
skipped known factor: 4393961916719
skipped known factor: 117853034647519
--0.123--5.159%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T14:36:00markrManual testing??46.744152.72685e-60.3015.89802e-6


ECM factoring results:

Old Calculation Method

Total ECM effort:1.619 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:1.619 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.59655.089%
25500000.05494.722%
302500000.00399.666%


ECM Summary

B1B2factorcurvesGHz-days
500005000000100.852
50000500000010.085
50000675000070.682


Lucas-Lehmer results:
No L-L results for M2118497


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-07T06:01:54Oliver KruseGTX-1
4393961916719
117853034647519
9D0DC2A9AAE884__no
2017-11-17T21:12:52kkmrkkblmbrbkold
4393961916719
117853034647519
9D0DC2A9AAE884__no
2019-09-29T23:52:16J.de GrootPRP-CF-Tester
4393961916719
117853034647519
276207084990062992430911
3B8B56BB79803977no
2019-10-20T13:13:22alan145Bear1
4393961916719
117853034647519
276207084990062992430911
3B8B56BB79803977no


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
TF factor-bounds graph:
267
2
240
250
260
270
280
290
2100
Last modified: 2022-03-18T08:07:17+00:00