is 2 5740633 - 1
has 1728103 decimal digits
takes 0.907 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L6D68FABD24DA47F0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272166.590368.0556 %3400000745517409093.742510.8091 %260.332871.5085 %
Target2662.572665.1515 %3600040000000.05772.2743 %2.630365.9441 %
Difference+6+164.0177+2.9040 %+3364000+7451174090+93.6848+8.5349%+257.7025+5.5644 %

Known prime factors (1 factor, 104.4 bits, 0.00181820% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
57406332632387441652976757823758941001732104.3762292767576026003367419376
24 × 1523 × 44741 × 2648047 × 794161391
2022-10-0426480477941613912.744e+1010.48118.504

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-09-08ANONYMOUSv4_computers25000143750--0.0071.259%
2011-03-15markrtiny14500031175006--0.0704.037%
2022-10-04Sid & AndyMagic_8_Ball34000007455174090232104.376111.316.207%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-05-01ANONYMOUSv4_computers212620.054
2009-04-01GrunwalderGIMPManual testing2622630.171
2014-10-23NesowaManual testing2632640.342
2014-10-24lycornManual testing2642650.651
2015-09-07snme2pm1Manual testing2652661.302
2016-07-01Gordon SpenceManual testing2662672.603
2018-07-05ramgeisManual testing2672685.207
2020-07-03TJAOIManual testing26826910.41
2020-12-14ANONYMOUSManual testing26927020.83
2020-12-16ANONYMOUSManual testing27027141.66
2020-12-19ANONYMOUSManual testing27127283.31


ECM factoring results:
Total ECM effort:2.161 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.161


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-09-27ANONYMOUSv4_computers6D68FABD24DA47F00.907
2000-10-07ANONYMOUSv4_computers6D68FABD24DA47F00.907


PRP results:
dateuseridcompidcofactorsres64
2022-10-13LordJuliusi79700_Para
26323874416529767578237589410017
199B57633DFC3F08


CERT results:
dateuseridcompid
2022-10-13Ben Deloi-0ed65dcfacd3d3a6e


P-1 factor-bounds graph:
B1 = 3400000, B2 = 7455174090 (P-1 stage 2)
B1 = 3400000 (P-1 stage 1)
B1 = 145000, B2 = 3117500 (P-1 stage 2)
B1 = 145000 (P-1 stage 1)
B1 = 25000, B2 = 143750 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
250
260
270
280
290
2100
2110
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Last modified: 2024-03-13T02:15:48+00:00