is 2 1971577 - 1
has 593504 decimal digits
takes 0.130 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L3A9E36088F2CAC12double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26715.071168.6567 %4800004609659602.43768.4892 %17.508871.3175 %
Target2620.311666.1290 %80005000000.00331.1961 %0.314966.5342 %
Difference+5+14.7595+2.5277 %+472000+460465960+2.4343+7.2931%+17.1939+4.7833 %

Known prime factors (1 factor, 64.8 bits, 0.00328876% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1971577330283952815380881772064.8408376136281144
23 × 33 × 38778408709
2008-11-1927387784087091.8053201.42376.21

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-08-12USAFSS6917th_Scty_Sq132000134381520--0.7109.537%
2023-12-17USAFSS6917th_Scty_Sq480000460965960--2.01112.817%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1997-11-11ANONYMOUSv4_computers212570.010
1998-12-27ANONYMOUSv4_computers212580.019


ECM factoring results:
Total ECM effort:25.246 GHz-days
Estimated T-Level:25.326
DigitsB1CompleteFacMiss
201100010.8370.002%
25500001.02335.934%
302500000.06593.684%
3510000000.00399.693%


ECM Summary

B1B2factorcurvesGHz-days
10.062
500005000000382.647
50000675000070.556
50000715000070.572
50000750000021121.41


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-11ANONYMOUSv4_computers3A9E36088F2CAC120.130
1999-01-17ANONYMOUSv4_computers3A9E36088F2CAC120.130


PRP results:
dateuseridcompidcofactorsres64
2017-10-05Oliver KruseGTX-0
33028395281538088177
765C24B49FA38CB3
2017-11-12ATHec2-1xh
33028395281538088177
765C24B49FA38CB3


CERT results:
No CERT results for M1971577


P-1 factor-bounds graph:
B1 = 480000, B2 = 460965960 (P-1 stage 2)
B1 = 132000, B2 = 134381520 (P-1 stage 2)
B1 = 480000 (P-1 stage 1)
B1 = 132000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
258
257
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=25.33 ~= 68-bit
250
260
270
JSON version of this page
Last modified: 2024-03-03T02:29:32+00:00