is 2 997123 - 1
has 300164 decimal digits
takes 0.030 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LF20EE8FBA6FF59CBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26729.799770.1493 %131072131072000.03603.7035 %29.835771.2548 %
Target2440.000054.5455 %1600035000000.008818.6617 %0.008863.0280 %
Difference+23+29.7996+15.6038 %+115072+9607200+0.0272-14.9582 %+29.8268+8.2267 %

Known prime factors (1 factor, 77.1 bits, 0.00772867% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9971231580084103202932109237992477.06479232156073169113
3 × 7 × 47 × 1170863 × 68561173
2008-02-0811708636856117330,6960.20810.2998

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00112.333%
2002-03-03ANONYMOUSv4_computers4096409600--0.00115.264%
2002-05-05ANONYMOUSv4_computers8192819200--0.00218.068%
2002-08-10ANONYMOUSv4_computers32768327680012--0.00923.553%
2003-02-02ANONYMOUSv4_computers65536655360012--0.01826.220%
2003-08-31ANONYMOUSv4_computers1310721310720012--0.03628.827%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-07-12ANONYMOUSv4_computers212550.005
2000-10-15ANONYMOUSv4_computers212560.010
2001-12-01ANONYMOUSv4_computers212570.019
2003-06-30ANONYMOUSv4_computers212580.039


ECM factoring results:
Total ECM effort:17.397 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
5000050000002809.72
25000025000000447.645


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-01ANONYMOUSv4_computersF20EE8FBA6FF59CB0.030


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-2
158008410320293210923799
C6E8F02350E630B3
2017-10-15Oliver KruseThreadripper-PC
158008410320293210923799
C6E8F02350E630B3
2017-12-24ATHec2-1xh
158008410320293210923799
C6E8F02350E630B3
2020-04-25Oliver KruseAddPrpType5
158008410320293210923799
834F9B75A0839EB4


CERT results:
No CERT results for M997123


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
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
107
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
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Last modified: 2024-03-03T02:29:32+00:00