is 2 881333 - 1
has 265308 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-L23D42CC0BD4C7BD5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26733.714770.1493 %2019571484697020.16006.6234 %33.874772.1264 %
Target2440.000054.5455 %1500030000000.006217.9461 %0.006262.7028 %
Difference+23+33.7147+15.6038 %+2004571+45469702+0.1538-11.3227 %+33.8685+9.4236 %

Known prime factors (1 factor, 74.0 bits, 0.00839548% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
881333187863073406133014498472373.99210657893974589231
3 × 3552631324863077
2014-11-13335526313248630772,170.46,805,95312,711,626

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-01-08ANONYMOUSv4_computers550001400000--0.00521.566%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.578%
2002-07-06ANONYMOUSv4_computers32768327680012--0.00723.293%
2002-12-25ANONYMOUSv4_computers65537655370012--0.01525.956%
2003-08-25ANONYMOUSv4_computers1310721310720012--0.02928.561%
2011-02-24JossManual testing200000200000--0.00715.505%
2011-07-12JossManual testing234807234807--0.00816.004%
2011-09-05JossManual testing391346391346--0.01417.593%
2012-02-06JossManual testing782692782692--0.02819.747%
2012-04-16JossManual testing11740391174039--0.04120.999%
2012-09-21JossManual testing17626661762666--0.06222.247%
2013-11-01TharsisW370STi20195714846970212--0.16033.875%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-12-08ANONYMOUSv4_computers212570.022
2003-09-09ANONYMOUSv4_computers212580.044
2008-10-12Sturle Sundegehry.ifi2582590.044
2008-10-12Sturle Sundegehry.ifi2592600.087
2010-06-04Architects Cubedm1_tt2602610.174
2014-09-21lycornManual testing2612620.349


ECM factoring results:
Total ECM effort:13.915 GHz-days
Estimated T-Level:25.646
DigitsB1CompleteFacMiss
201100014.4230.000%
25500001.58420.513%
302500000.12987.875%
3510000000.00999.140%


ECM Summary

B1B2factorcurvesGHz-days
10.280
5000050000002717.469
25000025000000446.165


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-09-22ANONYMOUSv4_computers23D42CC0BD4C7BD50.021


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-0
18786307340613301449847
6791FB04A07C9C4E
2017-10-14Oliver KruseThreadripper-PC
18786307340613301449847
6791FB04A07C9C4E
2017-12-18ATHec2-1xh
18786307340613301449847
6791FB04A07C9C4E
2020-04-22Oliver KruseAddPrpType5
18786307340613301449847
8598CB8091597F1B


CERT results:
No CERT results for M881333


P-1 factor-bounds graph:
B1 = 2019571, B2 = 48469702 (P-1 stage 2)
B1 = 2019571 (P-1 stage 1)
B1 = 1762666 (P-1 stage 1)
B1 = 1174039 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 782692 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 391346 (P-1 stage 1)
B1 = 234807 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 55000, B2 = 1400000 (P-1 stage 2)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
262
261
260
259
258
257
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-03T02:29:32+00:00