is 2 34021529 - 1
has 10241501 decimal digits
takes 40.259 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
Actual2707.023562.8571 %285000288105303.15575.6184 %10.179264.9440 %
Target27114.052263.3803 %240000350000003.66133.8406 %17.713564.7867 %
Difference-1-7.0287-0.5231 %+45000-6189470-0.5056+1.7778%-7.5343+0.1573 %

Known prime factors (3 factors, 153.2 bits, 0.00045041% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34021529671584982471135.967987
3 × 7 × 47
-7471.633e-101.575e-52.444e-5
34021529527131556502863031755.549774702919
647 × 773 × 1549
2015-01-3177315490.00020.00140.0027
3402152937988575976501369111961.72055830200895
32 × 5 × 74 × 43 × 61 × 197
2016-05-24240124010.00960.00410.0084

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-05-01masserManual testing28500028810530
skipped known factor: 67158498247
skipped known factor: 52713155650286303
skipped known factor: 3798857597650136911
--3.4675.098%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2015-01-31TJAOIManual testing255256*
55.549
17
7.74537e-5
2016-05-24TJAOIManual testing261262*
61.720
19
0.007
2022-11-25LordJuliusManual testing266267
2022-11-24masserManual testing267269
2023-11-11masserManual testing269270


ECM factoring results:
No ECM results for M34021529


Lucas-Lehmer results:
No L-L results for M34021529


PRP results:
No PRP results for M34021529


CERT results:
No CERT results for M34021529


P-1 factor-bounds graph:
B1 = 285000, B2 = 28810530 (P-1 stage 2)
B1 = 285000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
270
269
267
this exponent TF target: 71
TF double-checked to: 67
250
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270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00