is 2 1838033 - 1
has 553304 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
Actual26716.166268.6567 %500000150000000.10155.0713 %16.267670.2462 %
Target2610.167165.5738 %90007000000.00371.5960 %0.170866.1232 %
Difference+6+15.9990+3.0829 %+491000+14300000+0.0978+3.4752%+16.0968+4.1230 %

Known prime factors (3 factors, 166.2 bits, 0.00904337% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
183803320758303574091340.917564688
24 × 29 × 1217
-2912179.777e-87.373e-69.753e-6
183803328574097053298656891961.309777300980268
22 × 3 × 64775081689
2016-04-184647750816890.2383277.61518.50
1838033183696674268328194012063.9944997099460900
22 × 3 × 52 × 15647 × 1064549
2015-09-011564710645491.86710.00570.0085

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2015-09-01alpertronManual testing500000150000001222063.9940.1018.869%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-04-18TJAOIManual testing261262*
61.309
19
0.052


ECM factoring results:
Total ECM effort:41.548 GHz-days
Estimated T-Level:25.723
DigitsB1CompleteFacMiss
201100015.0430.000%
25500001.69818.307%
302500000.14586.534%
3510000000.01099.000%


ECM Summary

B1B2factorcurvesGHz-days
500005000000362.488
50000660000021516.75
250000484681624722.31


Lucas-Lehmer results:
No L-L results for M1838033


PRP results:
dateuseridcompidcofactorsres64
2017-10-04Oliver KruseGTX-3
2075830357409
18369667426832819401
2857409705329865689
D9E11B7D77976528
2017-10-05Oliver KruseManual testing
2075830357409
18369667426832819401
2857409705329865689
D9E11B7D77976528
2017-11-11kkmrkkblmbrbkc4.xlarge
2075830357409
2857409705329865689
18369667426832819401
D9E11B7D77976528


CERT results:
No CERT results for M1838033


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:
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.72 ~= 69-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00