is 2 669311 - 1
has 201483 decimal digits
takes 0.010 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBE357C8F812E4D5Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual269178.372771.0145 %66931102007933000.38057.5593 %178.753173.2056 %
Target2440.000054.5455 %1100020000000.002616.0129 %0.002661.8241 %
Difference+25+178.3727+16.4690 %+6682110+198793300+0.3778-8.4536 %+178.7505+11.3815 %

Known prime factors (1 factor, 93.0 bits, 0.01389395% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
66931198606572164744289389203987992892.9947366274584217522899609
37 × 67 × 12329 × 9580609 × 25156511
2022-09-249580609251565111.845e+90.22980.4296

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.598%
2002-01-28ANONYMOUSv4_computers4096409600--0.00114.493%
2002-03-10ANONYMOUSv4_computers8192819200--0.00117.271%
2002-05-05ANONYMOUSv4_computers163841638400--0.00220.016%
2002-07-06ANONYMOUSv4_computers32768327680012--0.00522.719%
2002-10-12ANONYMOUSv4_computers65536655360012--0.00925.374%
2003-06-09ANONYMOUSv4_computers1310721310720012--0.01827.973%
2011-07-14JossManual testing335484335484--0.00716.665%
2011-09-11JossManual testing559140559140--0.01218.244%
2012-06-19JossManual testing669391669391--0.01518.800%
2012-08-11JossManual testing13386221338622--0.02920.932%
2013-10-19David Campeaui5-2500k13800004416000012--0.08232.953%
2015-11-16Sid & AndyBullseye669311020079330012--0.38037.825%
2022-09-24masserManual testing480000004800000012892.9941.05831.331%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-09-03masserAragorn480000020640000027--0.398


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-02-01ANONYMOUSv4_computers2532540.002
2022-03-07LordJuliusManual testing254255
2001-04-08ANONYMOUSv4_computers212560.014
2002-01-02ANONYMOUSv4_computers212570.029
2003-10-14ANONYMOUSv4_computers212580.057
2008-10-14Sturle Sundefizir.ifi2582600.172
2010-08-15Architects Cubedm1_tt2602610.229
2015-05-25lycornManual testing2612620.459
2015-11-05Gordon SpenceManual testing2622644.400
2017-06-30Smok_bmvManual testing2642655.582
2017-08-04Smok_bmvManual testing26526611.16
2017-10-30Smok_bmvManual testing26626866.99
2018-06-13Smok_bmvManual testing26826989.32


ECM factoring results:
Total ECM effort:15.884 GHz-days
Estimated T-Level:26.287
DigitsB1CompleteFacMiss
201100024.4710.000%
25500002.8945.537%
302500000.25777.303%
3510000000.01998.151%
4030000000.00199.885%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003726.146
25000025000000746.324
2500002800000070.623
2500003140790570.652
2500003850000070.712
25000038750000141.427


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-08-17Gordon Spencev4_computersBE357C8F812E4D5A0.010
2015-04-11MadPooManual testingBE357C8F812E4D5A0.010


PRP results:
dateuseridcompidcofactorsres64
2022-09-24masserhwell
9860657216474428938920398799
2AFE18646C286720


CERT results:
dateuseridcompid
2022-09-24Cosmos95R720


P-1 factor-bounds graph:
B1 = 48000000 (P-1 stage 1)
B1 = 6693110, B2 = 200793300 (P-1 stage 2)
B1 = 6693110 (P-1 stage 1)
B1 = 1380000, B2 = 44160000 (P-1 stage 2)
B1 = 1380000 (P-1 stage 1)
B1 = 1338622 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 669391 (P-1 stage 1)
B1 = 559140 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 335484 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
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 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
TF factor-bounds graph:
269
268
266
265
264
262
261
260
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.29 ~= 71-bit
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260
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290
2100
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Last modified: 2024-03-13T02:15:48+00:00