is 2 972613 - 1
has 292786 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-L8C73C39B14A339D4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26730.550670.1493 %1000000320000000.09465.8342 %30.645271.8908 %
Target2440.000054.5455 %1600032500000.006818.4229 %0.006862.9195 %
Difference+23+30.5506+15.6038 %+984000+28750000+0.0878-12.5887 %+30.6384+8.9713 %

Known prime factors (1 factor, 86.0 bits, 0.00884321% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
972613779228012666251358537633292686.01040058482287726534528
27 × 32 × 13 × 23 × 277 × 467 × 899029979
2014-01-0546789902997916,112,7511.72233.2168

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.287%
2002-03-03ANONYMOUSv4_computers4096409600--0.00115.215%
2002-05-05ANONYMOUSv4_computers8192819200--0.00218.017%
2002-08-03ANONYMOUSv4_computers32768327680012--0.00723.500%
2003-01-16ANONYMOUSv4_computers65536655360012--0.01526.166%
2003-09-21ANONYMOUSv4_computers1310721310720012--0.02928.773%
2011-06-02JossManual testing200000200000--0.00715.663%
2011-06-19JossManual testing400000400000--0.01417.825%
2012-01-27JossManual testing688805688805--0.02419.518%
2012-06-26JossManual testing972623972623--0.03420.587%
2013-10-19David Campeaui5-2500k10000003200000012--0.09532.653%
2016-03-17alpertronManual testing20000050000006---26.349%


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_computers212580.039
2022-03-07LordJuliusManual testing258260
2010-05-15Architects Cubeda3_bu22602610.158


ECM factoring results:
Total ECM effort:14.084 GHz-days
Estimated T-Level:25.655
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.057
5000050000002797.792
25000025000000446.236


Lucas-Lehmer results:
No L-L results for M972613


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-2
77922801266625135853763329
37C8B0556EF6AAF8
2017-10-15Oliver KruseThreadripper-PC
77922801266625135853763329
37C8B0556EF6AAF8
2017-12-24ATHec2-1xh
77922801266625135853763329
37C8B0556EF6AAF8
2020-04-24Oliver KruseAddPrpType5
77922801266625135853763329
F7E42783BC9C67FF


CERT results:
No CERT results for M972613


P-1 factor-bounds graph:
B1 = 1000000, B2 = 32000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 972623 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 688805 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
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)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
261
260
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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260
270
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290
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Last modified: 2024-03-03T02:29:32+00:00