is 2 29117071 - 1
has 8765112 decimal digits
takes 28.955 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L40EAB289A835CA2Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27232.844465.2778 %1505000462787505.68766.0364 %38.532067.3737 %
Target2708.206564.2857 %220000325000002.85324.0609 %11.059765.7360 %
Difference+2+24.6379+0.9921 %+1285000+13778750+2.8344+1.9755%+27.4723+1.6377 %

Known prime factors (1 factor, 86.0 bits, 0.00029527% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29117071760636730106485196447640732685.9751306169721031495916
22 × 19 × 4339 × 443243 × 8936233
2020-11-074432438936233303,8281.30641.3112

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2005-07-17delta_tv4_computers520000520000--0.7502.159%
2020-11-07Architects CubedColab_iROOT21505000462787501222685.9755.6887.173%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-09-10Net_Forcev4_computers212560.000
2005-07-17delta_tv4_computers212660.257
2010-10-09S485122USB-W2662681.540
2012-01-10LaurVManual testing2682692.053
2017-03-07ramgeisManual testing2692704.106
2020-10-24Sid & AndyManual testing27027224.64


ECM factoring results:
No ECM results for M29117071


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-08-16delta_tv4_computers40EAB289A835CA2F28.96
2012-12-10JoeVDJVD_WORK40EAB289A835CA2F28.96


PRP results:
No PRP results for M29117071


CERT results:
No CERT results for M29117071


P-1 factor-bounds graph:
B1 = 1505000, B2 = 46278750 (P-1 stage 2)
B1 = 1505000 (P-1 stage 1)
B1 = 520000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
TF factor-bounds graph:
272
270
269
268
266
256
this exponent TF target: 70
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00