is 2 34004161 - 1
has 10236273 decimal digits
takes 40.238 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
Actual2707.027162.8571 %285000288105303.15575.6181 %10.182864.9439 %
Target27114.059463.3803 %240000350000003.66133.8403 %17.720764.7866 %
Difference-1-7.0323-0.5231 %+45000-6189470-0.5056+1.7777%-7.5379+0.1572 %

Known prime factors (3 factors, 136.9 bits, 0.00040270% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34004161285634952411134.733420
22 × 3 × 5 × 7
-577.342e-118.766e-61.746e-5
340041611266896426793111546.8481862855
5 × 19 × 19609
2008-09-0919196093.351e-70.00190.0034
34004161460315372064825931755.353676851536
24 × 199 × 212579
2015-01-201992125790.00020.02020.0371

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-04-30masserManual testing28500028810530
skipped known factor: 28563495241
skipped known factor: 126689642679311
skipped known factor: 46031537206482593
--3.4675.097%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-09Will EdgingtonManual testing??
46.848
15
2015-01-20TJAOIManual testing255256*
55.353
17
4.98926e-5
2022-11-25LordJuliusManual testing266267
2022-11-24masserManual testing267269
2023-11-11masserManual testing269270


ECM factoring results:
No ECM results for M34004161


Lucas-Lehmer results:
No L-L results for M34004161


PRP results:
No PRP results for M34004161


CERT results:
No CERT results for M34004161


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
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00