is 2 6177397 - 1
has 1859582 decimal digits
takes 1.095 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L3913F1D14F10D3B9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2689.648966.1765 %600000120000000.31385.2102 %9.962767.9387 %
Target2662.390765.1515 %4000045000000.07272.4288 %2.463465.9979 %
Difference+2+7.2581+1.0250 %+560000+7500000+0.2411+2.7814%+7.4992+1.9408 %

Known prime factors (1 factor, 83.3 bits, 0.00134898% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6177397121724090839187517837718332683.332985237720994680428
22 × 3 × 112 × 83 × 157 × 220877 × 235747
2019-08-28220877235747489,2600.05700.1155

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-07kbutlerv4_computers30000255000--0.0111.608%
2013-03-24Squeeky_SquirrelT7500_220011500022425006--0.0593.666%
2019-08-28takahashivaio600000120000001222683.3320.3146.291%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-09-20ANONYMOUSv4_computers212620.050
2016-02-23Mark RoseManual testing2622630.159
2014-09-10NesowaManual testing2632640.318
2014-09-18monstManual testing2642650.605
2015-10-09Bruno VictalManual testing2652661.210
2016-04-13Gordon SpenceManual testing2662672.419
2018-05-30ramgeisManual testing2672684.839


ECM factoring results:
Total ECM effort:1.617 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.617


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26ANONYMOUSv4_computersDF2904EF25849E401.095
1999-05-09ANONYMOUSv4_computers3913F1D14F10D3B91.095
2001-01-28kbutlerv4_computers3913F1D14F10D3B91.095


PRP results:
dateuseridcompidcofactorsres64
2019-08-29treborLaptop
12172409083918751783771833
0E076CC6497168A1
2019-08-30marssystemsSystem01
12172409083918751783771833
0E076CC6497168A1


CERT results:
No CERT results for M6177397


P-1 factor-bounds graph:
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 115000, B2 = 2242500 (P-1 stage 2)
B1 = 115000 (P-1 stage 1)
B1 = 30000, B2 = 255000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
268
267
266
265
264
263
262
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
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Last modified: 2024-03-13T02:15:48+00:00