is 2 2721023 - 1
has 819110 decimal digits
takes 0.210 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LB17335CBC48D3F1Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.920167.1642 %2880002264238901.41217.4767 %12.332269.6192 %
Target2630.586665.0794 %1400011000000.00821.6638 %0.594765.6604 %
Difference+4+10.3336+2.0848 %+274000+225323890+1.4039+5.8130%+11.7374+3.9589 %

Known prime factors (1 factor, 70.8 bits, 0.00260023% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
272102319896232101140850823672270.753365602056673921
547 × 668376703243
2010-08-2354766837670324387.8164,078.27,616.9

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-08ANONYMOUSv4_computers2048204800--0.0010.677%
2003-11-28Team Prime Ribv4_computers15000217500--0.0031.692%
2023-01-26USAFSSUSAFSACS288000226423890--1.55610.659%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-27Sturle Sundedanzi.ifi2602610.056


ECM factoring results:
Total ECM effort:0.404 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.162
50000500000030.243


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-16ANONYMOUSv4_computersB17335CBC48D3F1D0.210
1999-04-13ANONYMOUSv4_computersB17335CBC48D3F1D0.210
1999-05-09ANONYMOUSv4_computersB17335CBC48D3F1D0.210


PRP results:
dateuseridcompidcofactorsres64
2017-10-19Oliver KruseGTX-2
1989623210114085082367
617E857175831EA1
2017-12-05kkmrkkblmbrbkc4.xlarge
1989623210114085082367
617E857175831EA1


CERT results:
No CERT results for M2721023


P-1 factor-bounds graph:
B1 = 288000, B2 = 226423890 (P-1 stage 2)
B1 = 288000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
261
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
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Last modified: 2024-02-29T14:28:04+00:00