is 2 267097 - 1
has 80405 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L052E16401FBB3EEAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267111.247771.6418 %2000000018200000001.169911.6726 %112.417574.9519 %
Target2440.000056.8182 %50006000000.000410.5948 %0.000461.3932 %
Difference+23+111.2477+14.8236 %+19995000+1819400000+1.1695+1.0778%+112.4172+13.5587 %

Known prime factors (1 factor, 86.4 bits, 0.03234222% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2670971010423556269265218610553932786.385189149177315594188368
24 × 32 × 13 × 193 × 1942729 × 269481577
2011-10-10194272926948157758,673,3320.16370.2717

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-03-25ANONYMOUSv4_computers950003800000--0.00322.451%
2001-06-23ANONYMOUSv4_computers10000010000000--0.00625.057%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00220.858%
2002-08-10ANONYMOUSv4_computers65536655360012--0.00423.480%
2003-03-07ANONYMOUSv4_computers1310721310720030--0.00826.057%
2003-11-16ANONYMOUSv4_computers2621442621440012--0.01728.580%
2006-01-15Jossv4_computers267097267097--0.00314.527%
2011-02-16JossManual testing20000002000000--0.02020.613%
2021-07-03George WoltmanManual testing200000001820000000
skipped known factor: 101042355626926521861055393
--1.01342.668%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-03George WoltmanManual testing1000000083000000027--0.506


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-24ANONYMOUSv4_computers2522530.002
2000-04-27ANONYMOUSv4_computers212540.009
2022-03-07LordJuliusManual testing254255
2001-02-25ANONYMOUSv4_computers212560.036
2002-04-07ANONYMOUSv4_computers212570.072
2022-03-07LordJuliusManual testing257258
2009-01-01Sturle Sundekinner.ifi2582590.144
2009-01-25Sturle Sundegollumilla.ifi2592600.288


ECM factoring results:
Total ECM effort:12.961 GHz-days
Estimated T-Level:27.690
DigitsB1CompleteFacMiss
201100038.6900.000%
25500005.2840.507%
302500000.53858.396%
3510000000.04395.766%
4030000000.00399.715%


ECM Summary

B1B2factorcurvesGHz-days
10.036
5000050000002811.824
250000250000001896.633
25000033500000502.072
2500003523251470.296
2500003650000080.291
25000036750000421.808


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-10-27ANONYMOUSv4_computers052E16401FBB3EEA0.002


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
101042355626926521861055393
FA8D89B4A3773135
2017-09-22Oliver KruseManual testing
101042355626926521861055393
FA8D89B4A3773135
2017-10-12Oliver KruseGTX-1
101042355626926521861055393
FA8D89B4A3773135
2017-11-06kkmrkkblmbrbkc4.xlarge
101042355626926521861055393
FA8D89B4A3773135
2020-04-17Oliver KruseAddPrpType5
101042355626926521861055393
32C6858AE840781F


CERT results:
No CERT results for M267097


P-1 factor-bounds graph:
B1 = 20000000, B2 = 1820000000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 95000, B2 = 3800000 (P-1 stage 2)
B1 = 267097 (P-1 stage 1)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=27.69 ~= 75-bit
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Last modified: 2024-02-29T14:28:04+00:00