is 2 879343 - 1
has 264709 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-L9F4014CD42577ECFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26733.791070.1493 %131072131072000.02953.6390 %33.820571.2355 %
Target2440.000054.5455 %1500030000000.006217.9417 %0.006262.7008 %
Difference+23+33.7910+15.6038 %+116072+10107200+0.0232-14.3027 %+33.8143+8.5347 %

Known prime factors (1 factor, 70.9 bits, 0.00806507% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
87934322332507569145374222332270.9201269840526913012
22 × 4583 × 69269066491
2013-12-21458369269066491429.01132.70247.85

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.574%
2002-07-06ANONYMOUSv4_computers32768327680012--0.00723.288%
2002-12-25ANONYMOUSv4_computers65537655370012--0.01525.951%
2003-08-25ANONYMOUSv4_computers1310721310720012--0.02928.556%
2011-02-22JossManual testing200000200000--0.00715.501%
2011-07-12JossManual testing235497235497--0.00816.009%
2011-09-05JossManual testing392495392495--0.01417.599%
2012-02-06JossManual testing784990784990--0.02819.752%
2012-04-16JossManual testing11774851177485--0.04121.004%
2012-09-21JossManual testing17586861758686--0.06222.236%
2012-10-25JossManual testing19065071906507--0.06722.482%
2016-03-17alpertronManual testing3000001000000012---28.428%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-08-31ANONYMOUSv4_computers212550.005
2001-01-08ANONYMOUSv4_computers212560.011
2001-12-08ANONYMOUSv4_computers212570.022
2003-09-09ANONYMOUSv4_computers212580.044
2022-03-07LordJuliusManual testing258259
2004-06-12Sturle Sundev4_computers212600.087
2010-06-03Architects Cubedm1_tt2602610.175


ECM factoring results:
Total ECM effort:13.911 GHz-days
Estimated T-Level:25.655
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.056
5000050000002797.692
25000025000000446.163


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-28ANONYMOUSv4_computers9F4014CD42577ECF0.021


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-3
2233250756914537422233
AABD2B2B83F46003
2017-10-14Oliver KruseThreadripper-PC
2233250756914537422233
AABD2B2B83F46003
2017-12-19ATHec2-1xh
2233250756914537422233
AABD2B2B83F46003
2020-04-22Oliver KruseAddPrpType5
2233250756914537422233
E86CA2F9E506D268


CERT results:
No CERT results for M879343


P-1 factor-bounds graph:
B1 = 1906507 (P-1 stage 1)
B1 = 1758686 (P-1 stage 1)
B1 = 1177485 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 784990 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 392495 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 235497 (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 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (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: 2024-03-13T02:15:48+00:00