is 2 971977 - 1
has 292595 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-L5A2F9B4AB9EFC96Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26730.570670.1493 %131072131072000.02953.6903 %30.600171.2508 %
Target2440.000054.5455 %1600032500000.006818.4216 %0.006862.9189 %
Difference+23+30.5706+15.6038 %+115072+9857200+0.0227-14.7313 %+30.5933+8.3319 %

Known prime factors (1 factor, 82.9 bits, 0.00852414% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
97197787325455336327665496791772582.8534492156467505283844
22 × 3 × 15619 × 331589 × 72280357
2013-10-19331589722803571,418,6400.14950.2586

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.286%
2002-03-03ANONYMOUSv4_computers4096409600--0.00115.214%
2002-05-05ANONYMOUSv4_computers8192819200--0.00218.016%
2002-08-03ANONYMOUSv4_computers32768327680012--0.00723.499%
2003-01-16ANONYMOUSv4_computers65536655360012--0.01526.165%
2003-09-21ANONYMOUSv4_computers1310721310720012--0.02928.772%
2011-06-02JossManual testing200000200000--0.00715.662%
2011-06-19JossManual testing400000400000--0.01417.824%
2012-01-27JossManual testing689390689390--0.02419.519%
2012-06-26JossManual testing972029972029--0.03420.584%
2013-10-19David Campeaui5-2500k2582.8530.0950.000%
2016-03-17alpertronManual testing20000050000006---26.348%


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


ECM factoring results:
Total ECM effort:14.083 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002817.848
25000025000000446.236


Lucas-Lehmer results:
No L-L results for M971977


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-2
8732545533632766549679177
CAB04E37BAEA67B1
2017-10-15Oliver KruseThreadripper-PC
8732545533632766549679177
CAB04E37BAEA67B1
2017-12-24ATHec2-1xh
8732545533632766549679177
CAB04E37BAEA67B1
2020-04-24Oliver KruseAddPrpType5
8732545533632766549679177
50BFD2646B0A9401


CERT results:
No CERT results for M971977


P-1 factor-bounds graph:
B1 = 972029 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 689390 (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)
102
103
104
105
106
102
103
104
105
106
107
108
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
250
260
270
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290
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Last modified: 2024-03-13T02:15:48+00:00