is 2 2993521 - 1
has 901140 decimal digits
takes 0.255 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L30C8E2720548130Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2679.926167.1642 %3200002421893101.66587.7449 %11.591869.7073 %
Target2641.189065.6250 %1300010000000.00821.3863 %1.197366.1016 %
Difference+3+8.7371+1.5392 %+307000+241189310+1.6575+6.3585%+10.3946+3.6057 %

Known prime factors (1 factor, 72.6 bits, 0.00242487% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
299352171032329969385208826972272.5891186434469131588
22 × 33 × 1543 × 7817 × 910781
2010-10-217817910781488.780.00700.0114

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-12-13ANONYMOUSv4_computers2048204800--0.0020.568%
2003-12-23Team Prime Ribv4_computers1000010000--0.0010.313%
2010-10-21markrtiny2272.5890.0290.000%
2023-02-28USAFSS6917th_Scty_Sq320000242189310
skipped known factor: 7103232996938520882697
--1.76310.093%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-05-02ANONYMOUSv4_computers212600.026
2009-02-12Sturle Sundeghia.ifi2602610.051


ECM factoring results:
Total ECM effort:0.243 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.243


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-11ANONYMOUSv4_computers30C8E2720548130D0.255
1999-05-23ANONYMOUSv4_computers30C8E2720548130D0.255


PRP results:
dateuseridcompidcofactorsres64
2017-10-27Oliver KruseGTX-0
7103232996938520882697
E094127EA429DB40
2017-12-10kkmrkkblmbrbkc4.xlarge
7103232996938520882697
E094127EA429DB40


CERT results:
No CERT results for M2993521


P-1 factor-bounds graph:
B1 = 320000, B2 = 242189310 (P-1 stage 2)
B1 = 320000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00