is 2 1827757 - 1
has 550210 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-LAC3F02B2ACDB144Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26716.257068.6567 %500000150000000.10155.0678 %16.358570.2451 %
Target2610.168165.5738 %90007000000.00371.5942 %0.171766.1226 %
Difference+6+16.0890+3.0829 %+491000+14300000+0.0978+3.4736%+16.1868+4.1225 %

Known prime factors (2 factors, 140.3 bits, 0.00767743% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18277572720888010665209095432167.88374432433049503
3 × 6569 × 3776954029
2009-07-166569377695402924.12616.18830.233
182775764157404733086313515432272.4421755085734402503
673 × 174583 × 14937617
2015-08-2317458314937617580.200.07700.1196

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2015-08-23alpertronManual testing500000150000001222272.4420.1018.863%


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


ECM factoring results:
Total ECM effort:38.563 GHz-days
Estimated T-Level:25.690
DigitsB1CompleteFacMiss
201100015.1010.000%
25500001.66518.910%
302500000.13887.101%
3510000000.00999.074%


ECM Summary

B1B2factorcurvesGHz-days
10.155
50000470000070.472
500005000000291.950
50000660000022617.59
250000400000004318.39


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-27ANONYMOUSv4_computersAC3F02B2ACDB144C0.099


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
272088801066520909543
6415740473308631351543
68FD34F4A08EDC9E
2017-10-19Oliver KruseThreadripper-PC
272088801066520909543
6415740473308631351543
68FD34F4A08EDC9E


CERT results:
No CERT results for M1827757


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.69 ~= 69-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00