is 2 1854653 - 1
has 558307 decimal digits
takes 0.101 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L16BEFAE49BFFB00Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26716.021368.6567 %500000150000000.10155.0768 %16.122870.2479 %
Target2610.165665.5738 %90007500000.00391.6318 %0.169566.1355 %
Difference+6+15.8557+3.0829 %+491000+14250000+0.0976+3.4450%+15.9532+4.1124 %

Known prime factors (2 factors, 128.8 bits, 0.00694205% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
185465378832280365346740631962.7732125256863827
3 × 1319 × 2999 × 179089
2008-10-2729991790890.33130.00100.0014
1854653726378568437606106632065.97719582600314927
3 × 13 × 37 × 937 × 14483197
2015-07-08937144831973.93370.06210.1159

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2015-07-08alpertronManual testing500000150000001222065.9770.1018.877%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-09ANONYMOUSv4_computers212580.021


ECM factoring results:
Total ECM effort:39.336 GHz-days
Estimated T-Level:25.709
DigitsB1CompleteFacMiss
201100014.9210.000%
25500001.67518.730%
302500000.14286.787%
3510000000.01099.032%


ECM Summary

B1B2factorcurvesGHz-days
10.155
500005000000352.421
50000660000021316.61
250000400000004720.15


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13ANONYMOUSv4_computers16BEFAE49BFFB00C0.101


PRP results:
dateuseridcompidcofactorsres64
2017-10-04Oliver KruseGTX-0
7883228036534674063
72637856843760610663
80C34ADA2553A722
2017-10-05Oliver KruseManual testing
7883228036534674063
72637856843760610663
80C34ADA2553A722
2017-11-11kkmrkkblmbrbkc4.xlarge
7883228036534674063
72637856843760610663
80C34ADA2553A722


CERT results:
No CERT results for M1854653


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
TF factor-bounds graph:
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.71 ~= 69-bit
250
260
270
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Last modified: 2024-03-03T02:29:32+00:00