is 2 1844827 - 1
has 555349 decimal digits
takes 0.100 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
Actual26716.106668.6567 %500000150000000.10155.0735 %16.208170.2469 %
Target2610.166565.5738 %90007500000.00391.6300 %0.170466.1349 %
Difference+6+15.9401+3.0829 %+491000+14250000+0.0976+3.4435%+16.0377+4.1120 %

Known prime factors (4 factors, 189.7 bits, 0.01028026% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
184482762724119825.90317
17
-1172.432e-121.472e-71.601e-7
18448272711342241911237.98073485
32 × 5 × 23 × 71
2008-07-1523711.891e-82.015e-63.682e-6
1844827177877024630034811753.9824820967620
22 × 5 × 7 × 179 × 192377
2014-10-241791923770.00100.00080.0015
184482740786021817618447354332271.7891105415895843308
22 × 7 × 31 × 59 × 4787 × 4509107
2015-08-2547874509107464.970.01970.0361

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2015-08-25alpertronManual testing500000150000001222271.7890.1018.872%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-15J FeitsmaManual testing??
37.980
12
2014-10-24TJAOIManual testing253254*
53.982
17
0.001


ECM factoring results:
Total ECM effort:39.005 GHz-days
Estimated T-Level:25.703
DigitsB1CompleteFacMiss
201100015.1120.000%
25500001.68018.639%
302500000.14186.891%
3510000000.01099.050%


ECM Summary

B1B2factorcurvesGHz-days
500005000000432.973
50000660000021516.76
250000400000004519.27


Lucas-Lehmer results:
No L-L results for M1844827


PRP results:
dateuseridcompidcofactorsres64
2017-10-04Oliver KruseGTX-3
62724119
271134224191
17787702463003481
4078602181761844735433
B53042D9578F6D9A
2017-10-05Oliver KruseManual testing
62724119
271134224191
17787702463003481
4078602181761844735433
B53042D9578F6D9A
2017-11-11kkmrkkblmbrbkc4.xlarge
62724119
271134224191
17787702463003481
4078602181761844735433
B53042D9578F6D9A


CERT results:
No CERT results for M1844827


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
TF factor-bounds graph:
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
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280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00