is 2 966307 - 1
has 290888 decimal digits
takes 0.023 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L400B24F6C4B5D0FAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26730.750070.1493 %131072131072000.02953.6873 %30.779471.2499 %
Target2440.000054.5455 %1600032500000.006818.4101 %0.006862.9137 %
Difference+23+30.7500+15.6038 %+115072+9857200+0.0227-14.7229 %+30.7727+8.3362 %

Known prime factors (1 factor, 72.6 bits, 0.00751735% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
96630773626464040572275852492272.6413809682846164432
24 × 107 × 8419 × 264316669
2010-12-268419264316669989.680.50660.9457

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.275%
2002-03-03ANONYMOUSv4_computers4096409600--0.00115.203%
2002-05-05ANONYMOUSv4_computers8192819200--0.00218.004%
2002-05-11Jossv4_computers60006000--0.0005.446%
2002-05-11Jossv4_computers50005000--0.0005.001%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.768%
2002-08-03ANONYMOUSv4_computers32768327680012--0.00723.486%
2003-01-16ANONYMOUSv4_computers65536655360012--0.01526.152%
2003-09-29ANONYMOUSv4_computers1310721310720012--0.02928.759%
2016-03-17alpertronManual testing20000050000006---26.336%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-06-28ANONYMOUSv4_computers212550.005
2000-11-15ANONYMOUSv4_computers212560.010
2001-11-24ANONYMOUSv4_computers212570.020
2003-08-25ANONYMOUSv4_computers212580.040
2022-03-07LordJuliusManual testing258260
2010-05-14Architects Cubedm1_tt2602610.159


ECM factoring results:
Total ECM effort:14.074 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
5000050000002807.814
25000025000000446.231


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-11-02ANONYMOUSv4_computers400B24F6C4B5D0FA0.023


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-0
7362646404057227585249
099DBE114E511746
2017-10-15Oliver KruseThreadripper-PC
7362646404057227585249
099DBE114E511746
2017-12-23ATHec2-1xh
7362646404057227585249
099DBE114E511746
2020-04-24Oliver KruseAddPrpType5
7362646404057227585249
0B7891F957F7034D


CERT results:
No CERT results for M966307


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 = 6000 (P-1 stage 1)
B1 = 5000 (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
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
250
260
270
280
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Last modified: 2024-02-09T03:30:02+00:00