is 2 762053 - 1
has 229401 decimal digits
takes 0.015 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L6E2A91A43F4FA45Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26878.216270.5882 %1500000015042055528502,373.754620.3946 %2,451.970876.5867 %
Target2440.000054.5455 %1300025000000.004317.0258 %0.004362.2845 %
Difference+24+78.2162+16.0428 %+14987000+1504203052850+2,373.7503+3.3688%+2,451.9665+14.3022 %

Known prime factors (1 factor, 89.1 bits, 0.01168748% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7620536473857990480576108102644972789.065424764287423615949816
23 × 3 × 54499 × 594667 × 546102773
2022-06-10594667546102773246,991,3170.87791.6093

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.835%
2002-02-03ANONYMOUSv4_computers4096409600--0.00114.742%
2002-03-24ANONYMOUSv4_computers8192819200--0.00217.528%
2002-05-18ANONYMOUSv4_computers163841638400--0.00320.280%
2002-07-20ANONYMOUSv4_computers32768327680012--0.00622.989%
2002-12-02ANONYMOUSv4_computers65537655370012--0.01225.647%
2003-07-06ANONYMOUSv4_computers1310721310720012--0.02428.249%
2011-06-24JossManual testing400000400000--0.01217.421%
2011-08-17JossManual testing472550472550--0.01417.938%
2011-11-25JossManual testing945100945100--0.02720.083%
2012-05-05JossManual testing14176501417650--0.04121.329%
2012-07-14JossManual testing15241061524106--0.04421.551%
2013-10-25David Campeaui5-2500k16750005695000012--0.13634.048%
2015-11-29Sid & AndySpeck762053022861590012--0.56938.492%
2022-06-10lycornsupernova15000000150420555285022789.0652,88261.130%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-09-15ANONYMOUSv4_computers212550.006
2001-03-11ANONYMOUSv4_computers212560.013
2001-12-08ANONYMOUSv4_computers212570.025
2003-09-29ANONYMOUSv4_computers212580.050
2008-10-13Sturle Sundetournai.ifi2582600.151
2010-06-12Architects Cubedm1_f22602610.202
2015-03-05NRManual testing2612620.403
2015-10-20Gordon SpenceManual testing2622643.865
2016-03-28lycornManual testing2642654.903
2018-02-02Smok_bmvManual testing2652669.81
2020-05-19Gordon SpenceManual testing26626719.61
2022-03-16Gordon SpenceManual testing26726839.22


ECM factoring results:
Total ECM effort:11.209 GHz-days
Estimated T-Level:25.652
DigitsB1CompleteFacMiss
201100014.7940.000%
25500001.61319.934%
302500000.13087.775%
3510000000.00999.140%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002836.321
25000025000000434.888


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-26ANONYMOUSv4_computers6E2A91A43F4FA45F0.015
2015-04-11MadPooManual testing6E2A91A43F4FA45F0.015


PRP results:
dateuseridcompidcofactorsres64
2022-06-14mnd975211backdoor
647385799048057610810264497
01A30F6AC0778075
2022-10-04ATHec2-PRPCF
647385799048057610810264497
01A30F6AC0778075


CERT results:
dateuseridcompid
2022-10-04Dalenew7040


P-1 factor-bounds graph:
B1 = 15000000, B2 = 1504205552850 (P-1 stage 2)
B1 = 7620530, B2 = 228615900 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 7620530 (P-1 stage 1)
B1 = 1675000, B2 = 56950000 (P-1 stage 2)
B1 = 1675000 (P-1 stage 1)
B1 = 1524106 (P-1 stage 1)
B1 = 1417650 (P-1 stage 1)
B1 = 945100 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 472550 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 400000 (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 = 65537 (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
1010
1011
1012
1013
TF factor-bounds graph:
268
267
266
265
264
262
261
260
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00