is 2 4908181 - 1
has 1477510 decimal digits
takes 0.680 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2676.054065.6716 %2600001677507301.88637.5750 %7.940368.2720 %
Target2651.486464.6154 %3200035000000.04442.3747 %1.530865.4557 %
Difference+2+4.5675+1.0563 %+228000+164250730+1.8419+5.2003%+6.4094+2.8164 %

Known prime factors (3 factors, 146.2 bits, 0.00297837% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
490818113742906811030.356140
22 × 5 × 7
-573.003e-111.027e-62.045e-6
490818144898076515611342.030457380
22 × 33 × 5 × 7 × 112
2013-12-161211211.194e-72.432e-54.949e-5
4908181164234072672049191926392373.7981673064549494499
3 × 7 × 79669740452119
2019-08-01779669740452119494.25872,4061,629,411

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-10-04USAFSS6917th_Scty_Sq260000167750730
skipped known factor: 1374290681
skipped known factor: 4489807651561
--2.1499.082%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2013-12-16TJAOIManual testing??
42.030
13


ECM factoring results:
Total ECM effort:0.463 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020.463


Lucas-Lehmer results:
No L-L results for M4908181


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
1374290681
4489807651561
DC8FD509CEFC203F
2018-04-08Oliver KruseGTX-2
1374290681
4489807651561
DC8FD509CEFC203F
2019-08-02treborLaptop
1374290681
4489807651561
16423407267204919192639
FB75507C7B1EAC47
2019-08-04arnaudstm-11-010
1374290681
4489807651561
16423407267204919192639
FB75507C7B1EAC47


CERT results:
No CERT results for M4908181


P-1 factor-bounds graph:
B1 = 260000, B2 = 167750730 (P-1 stage 2)
B1 = 260000 (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
TF factor-bounds graph:
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.38 ~= -15-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00