is 2 2860021 - 1
has 860953 decimal digits
takes 0.221 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.389467.1642 %2550001953906901.21927.2392 %11.608669.5412 %
Target2630.558065.0794 %1600014000000.01021.8683 %0.568365.7318 %
Difference+4+9.8314+2.0848 %+239000+193990690+1.2090+5.3709%+11.0403+3.8094 %

Known prime factors (2 factors, 112.3 bits, 0.00392482% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
286002117160127824.0333
3
-137.820e-131.242e-72.279e-7
28600213600211449914527520031805992788.21862940297464853011919
32 × 41 × 71 × 10723 × 19993 × 11205979
2022-11-21199931120597924,949,4930.07050.1277

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-11-21USAFSS6917th_Scty_Sq25500019539069022788.2181.34410.376%


Trial Factoring results:
5758596061626364656667
No TF results for M2860021


ECM factoring results:
Total ECM effort:0.306 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.306


Lucas-Lehmer results:
No L-L results for M2860021


PRP results:
dateuseridcompidcofactorsres64
2017-10-22Oliver KruseGTX-3
17160127
CE5E52EB39AC8683
2017-12-07kkmrkkblmbrbkc4.xlarge
17160127
CE5E52EB39AC8683
2022-11-26MarkSdesktop-i7
17160127
360021144991452752003180599
CE5E52EB39AC8683


CERT results:
dateuseridcompid
2022-11-26Wojciech Florekarm10


P-1 factor-bounds graph:
B1 = 255000, B2 = 195390690 (P-1 stage 2)
B1 = 255000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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290
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Last modified: 2024-03-13T02:15:48+00:00