is 2 1835527 - 1
has 552549 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
Actual26716.188268.6567 %500000150000000.10155.0704 %16.289770.2460 %
Target2610.167465.5738 %90007000000.00371.5956 %0.171066.1231 %
Difference+6+16.0209+3.0829 %+491000+14300000+0.0978+3.4748%+16.1187+4.1229 %

Known prime factors (2 factors, 115.8 bits, 0.00630792% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
183552719876885172471340.854541449
32 × 60161
-9601619.550e-80.00030.0005
1835527359749303470415896898312374.9299799618950590645
5 × 11 × 23 × 43 × 71 × 367 × 6913943
2015-08-3036769139434,144.00.02970.0553

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2015-08-30alpertronManual testing500000150000001222374.9290.1018.867%


Trial Factoring results:
5758596061626364656667
No TF results for M1835527


ECM factoring results:
Total ECM effort:39.341 GHz-days
Estimated T-Level:25.712
DigitsB1CompleteFacMiss
201100015.0400.000%
25500001.68618.526%
302500000.14286.727%
3510000000.01099.028%


ECM Summary

B1B2factorcurvesGHz-days
500005000000372.556
50000660000021416.67
250000400000004720.12


Lucas-Lehmer results:
No L-L results for M1835527


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
1987688517247
35974930347041589689831
4C2170D2EE929707
2017-10-19Oliver KruseGTX-1
1987688517247
35974930347041589689831
4C2170D2EE929707


CERT results:
No CERT results for M1835527


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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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=25.71 ~= 69-bit
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JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00