is 2 971501 - 1
has 292451 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-LEBF9AF60E73E36B2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26730.585670.1493 %131072131072000.02953.6900 %30.615071.2508 %
Target2440.000054.5455 %1600032500000.006818.4206 %0.006862.9185 %
Difference+23+30.5856+15.6038 %+115072+9857200+0.0227-14.7306 %+30.6083+8.3323 %

Known prime factors (2 factors, 131.6 bits, 0.01354465% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
97150184013615738456657031962.8654323907836351
32 × 29 × 181 × 91528711
2011-08-07181915287110.63240.17540.3275
9715014865325786794180651032168.721250402510486051
7 × 11 × 79 × 41164312097
2016-07-22794116431209761.35378.861147.29

1 Composite Factors:
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%
2011-06-02JossManual testing200000200000--0.00715.662%
2011-06-19JossManual testing400000400000--0.01417.823%
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
2022-03-07LordJuliusManual testing258260
2010-05-14Architects Cubeda3_bu22602610.158


ECM factoring results:
Total ECM effort:14.082 GHz-days
Estimated T-Level:25.654
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.085
5000050000002316.430
500005000000471.332
25000025000000446.235


Lucas-Lehmer results:
No L-L results for M971501


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
8401361573845665703
486532578679418065103
26B2AF811A9EE874
2017-10-05Oliver KruseManual testing
8401361573845665703
486532578679418065103
26B2AF811A9EE874
2017-10-15Oliver KruseThreadripper-PC
8401361573845665703
486532578679418065103
26B2AF811A9EE874
2017-12-24ATHec2-1xh
8401361573845665703
486532578679418065103
26B2AF811A9EE874
2020-04-24Oliver KruseAddPrpType5
8401361573845665703
486532578679418065103
8B1F7516C71CF92A


CERT results:
No CERT results for M971501


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 = 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)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
261
260
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00