is 2 1827533 - 1
has 550143 decimal digits
takes 0.099 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L010B06AE1E1CDC86double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26716.259068.6567 %500000150000000.10155.0678 %16.360570.2451 %
Target2610.168165.5738 %90007000000.00371.5942 %0.171866.1226 %
Difference+6+16.0909+3.0829 %+491000+14300000+0.0978+3.4736%+16.1888+4.1225 %

Known prime factors (1 factor, 80.8 bits, 0.00442114% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
182753321016972573207494885231912580.798575009386238374215
3 × 5 × 9677 × 126499 × 31315247
2008-09-3012649931315247133,9870.14360.2507

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing5000001500000012---8.863%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-16ANONYMOUSv4_computers212580.021


ECM factoring results:
Total ECM effort:38.990 GHz-days
Estimated T-Level:25.702
DigitsB1CompleteFacMiss
201100015.0930.000%
25500001.67818.675%
302500000.14086.901%
3510000000.01099.051%


ECM Summary

B1B2factorcurvesGHz-days
10.052
500005000000362.486
50000660000022117.20
250000400000004519.25


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13ANONYMOUSv4_computers010B06AE1E1CDC860.099


PRP results:
dateuseridcompidcofactorsres64
2017-10-04Oliver KruseGTX-3
2101697257320749488523191
2A826E6633539D61
2017-11-06bayanneiMac1
2101697257320749488523191
2A826E6633539D61


CERT results:
No CERT results for M1827533


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
104
105
106
104
105
106
107
108
TF factor-bounds graph:
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
250
260
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290
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Last modified: 2024-03-03T02:29:32+00:00