is 2 858269 - 1
has 258365 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-L9F7FA91FDE13881Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26734.620870.1493 %131072131072000.02953.6266 %34.650271.2318 %
Target2440.000054.5455 %1400027500000.005717.5875 %0.005762.5398 %
Difference+23+34.6207+15.6038 %+117072+10357200+0.0237-13.9609 %+34.6445+8.6921 %

Known prime factors (1 factor, 83.2 bits, 0.00969444% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
858269111431302033812807141646792683.2046491630364944604031
83 × 10613 × 7369491570289
2009-04-161061373694915702892,282,42414,11826,369

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.054%
2002-02-17ANONYMOUSv4_computers4096409600--0.00114.972%
2002-04-14ANONYMOUSv4_computers8192819200--0.00217.766%
2002-05-18ANONYMOUSv4_computers163841638400--0.00420.524%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00723.237%
2002-12-09ANONYMOUSv4_computers65537655370012--0.01525.900%
2003-08-25ANONYMOUSv4_computers1310721310720012--0.02928.504%
2016-03-17alpertronManual testing3000001000000012---28.378%


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
2008-10-14Sturle Sundezumthor.ifi2582590.045
2008-10-15Sturle Sundezumthor.ifi2592600.089


ECM factoring results:
Total ECM effort:13.940 GHz-days
Estimated T-Level:25.655
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.046
5000050000002797.746
25000025000000446.147


Lucas-Lehmer results:
No L-L results for M858269


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-2
11143130203381280714164679
655198A266FD6D24
2017-10-14Oliver KruseThreadripper-PC
11143130203381280714164679
655198A266FD6D24
2017-12-17ATHwork
11143130203381280714164679
655198A266FD6D24
2020-04-22Oliver KruseAddPrpType5
11143130203381280714164679
80629E1AF404C9D5


CERT results:
No CERT results for M858269


P-1 factor-bounds graph:
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 = 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
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
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
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290
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Last modified: 2024-02-09T03:30:02+00:00