is 2 912031 - 1
has 274549 decimal digits
takes 0.022 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LC2513659766390D4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26732.579970.1493 %131072131072000.02953.6576 %32.609471.2411 %
Target2440.000054.5455 %1500030000000.006218.0126 %0.006262.7330 %
Difference+23+32.5799+15.6038 %+116072+10107200+0.0232-14.3549 %+32.6032+8.5081 %

Known prime factors (1 factor, 65.9 bits, 0.00723073% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
912031711004258940657490472065.94638979171702533
181 × 343801 × 626393
2011-01-243438016263937.99940.01260.0246

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.167%
2002-02-24ANONYMOUSv4_computers4096409600--0.00115.090%
2002-04-28ANONYMOUSv4_computers8192819200--0.00217.888%
2002-05-18ANONYMOUSv4_computers163841638400--0.00420.649%
2002-07-20ANONYMOUSv4_computers32768327680012--0.00723.365%
2002-12-16ANONYMOUSv4_computers65536655360012--0.01526.029%
2003-08-08ANONYMOUSv4_computers1310721310720012--0.02928.635%
2016-03-17alpertronManual testing20000050000006---26.218%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-12-14ANONYMOUSv4_computers212560.011
2001-10-06ANONYMOUSv4_computers212570.021
2003-04-27ANONYMOUSv4_computers212580.042
2022-03-07LordJuliusManual testing258260
2010-05-19Architects Cubedm1_tt2602610.168


ECM factoring results:
Total ECM effort:13.966 GHz-days
Estimated T-Level:25.656
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
10.028
5000050000002807.749
25000025000000446.189


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-22ANONYMOUSv4_computersC2513659766390D40.022


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-3
71100425894065749047
C95899F8408C8B13
2017-10-14Oliver KruseThreadripper-PC
71100425894065749047
C95899F8408C8B13
2017-12-21ATHec2-1xh
71100425894065749047
C95899F8408C8B13
2020-04-23Oliver KruseAddPrpType5
71100425894065749047
472AFAFBA90086A3


CERT results:
No CERT results for M912031


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
261
260
258
257
256
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00