is 2 858953 - 1
has 258571 decimal digits
takes 0.021 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5348C973780F7038double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26734.593270.1493 %2000000400000000.14316.3814 %34.736372.0542 %
Target2440.000054.5455 %1400027500000.005717.5890 %0.005762.5405 %
Difference+23+34.5932+15.6038 %+1986000+37250000+0.1374-11.2076 %+34.7306+9.5137 %

Known prime factors (1 factor, 74.1 bits, 0.00863122% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
858953207870917382510221766492374.13812100249803103908
22 × 3 × 17183 × 58683242173
2014-01-2817183586832421734,454.1112.42209.97

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.056%
2002-02-17ANONYMOUSv4_computers4096409600--0.00114.973%
2002-04-14ANONYMOUSv4_computers8192819200--0.00217.767%
2002-05-18ANONYMOUSv4_computers163841638400--0.00420.525%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00723.239%
2002-12-09ANONYMOUSv4_computers65537655370012--0.01525.901%
2003-08-25ANONYMOUSv4_computers1310721310720012--0.02928.506%
2009-06-20Roman MaznichenkoManual testing2500002500000012--0.05630.876%
2010-01-18BigBrotherMiniluv20000004000000012--0.14333.211%
2016-03-17alpertronManual testing3000001000000012---28.379%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-08-17ANONYMOUSv4_computers212550.006
2001-01-08ANONYMOUSv4_computers212560.011
2001-12-01ANONYMOUSv4_computers212570.022
2003-09-09ANONYMOUSv4_computers212580.045
2008-10-11Sturle Sundegehry.ifi2582590.045
2008-10-11Sturle Sundegehry.ifi2592600.089
2010-05-28Architects Cubeda3_s22602610.179


ECM factoring results:
Total ECM effort:13.877 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
5000050000002807.701
25000025000000446.148


Lucas-Lehmer results:
No L-L results for M858953


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-0
20787091738251022176649
97B381CCB801106E
2017-10-14Oliver KruseThreadripper-PC
20787091738251022176649
97B381CCB801106E
2017-12-17ATHwork
20787091738251022176649
97B381CCB801106E
2020-04-22Oliver KruseAddPrpType5
20787091738251022176649
55C929B1A8264210


CERT results:
No CERT results for M858953


P-1 factor-bounds graph:
B1 = 2000000, B2 = 40000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 250000, B2 = 25000000 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 250000 (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
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
261
260
259
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: 2024-03-03T02:29:32+00:00