is 2 971429 - 1
has 292430 decimal digits
takes 0.024 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9656D910A4B923F7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26730.587870.1493 %131072131072000.02953.6900 %30.617371.2507 %
Target2440.000054.5455 %1600032500000.006818.4205 %0.006862.9184 %
Difference+23+30.5878+15.6038 %+115072+9857200+0.0227-14.7305 %+30.6106+8.3323 %

Known prime factors (1 factor, 64.7 bits, 0.00665930% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
971429297672042199496746792064.69015321348353791
469031 × 32665961
2009-12-25469031326659613.66400.07820.1169

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.285%
2002-03-03ANONYMOUSv4_computers4096409600--0.00115.213%
2002-05-05ANONYMOUSv4_computers8192819200--0.00218.015%
2002-08-03ANONYMOUSv4_computers32768327680012--0.00723.498%
2003-01-16ANONYMOUSv4_computers65536655360012--0.01526.164%
2003-09-21ANONYMOUSv4_computers1310721310720012--0.02928.771%
2016-03-17alpertronManual testing20000050000006---26.347%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-06-28ANONYMOUSv4_computers212550.005
2000-11-05ANONYMOUSv4_computers212560.010
2001-11-24ANONYMOUSv4_computers212570.020
2003-08-25ANONYMOUSv4_computers212580.040


ECM factoring results:
Total ECM effort:14.104 GHz-days
Estimated T-Level:25.655
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.046
5000050000002797.822
25000025000000446.235


Lucas-Lehmer results:
No L-L results for M971429


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-0
29767204219949674679
DC5D33FD76722CD3
2017-10-15Oliver KruseThreadripper-PC
29767204219949674679
DC5D33FD76722CD3
2017-12-24ATHec2-1xh
29767204219949674679
DC5D33FD76722CD3
2020-04-24Oliver KruseAddPrpType5
29767204219949674679
FAB2939CE1C094C7


CERT results:
No CERT results for M971429


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 = 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 = 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:
258
257
256
255
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