is 2 84133771 - 1
has 25326789 decimal digits
takes 262.538 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
Actual276181.900764.4737 %670000132325006.12843.4132 %188.029265.6863 %
Target27590.949364.0000 %5500009500000025.77233.9392 %116.721665.4181 %
Difference+1+90.9514+0.4737 %+120000-81767500-19.6438-0.5259 %+71.3076+0.2682 %

Known prime factors (1 factor, 84.2 bits, 0.00010009% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
84133771223834205689493265750248872684.211133022805841838033
11 × 25303 × 37253 × 12829217
2017-10-31372531282921791,2493.32205.9069

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-10-31NesowaIceblock670000132325001222684.2116.1283.763%


Trial Factoring results:
5758596061626364656667686970717273747576
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-12-23Architects Cubedm1_552642650.044
2012-08-09Carsten KossendeyManual testing2652660.089
2013-02-16Juergen KampmeierManual testing2662670.178
2013-06-29Norman LeyManual testing2672680.355
2013-07-17SMoffatManual testing2682690.711
2013-07-19SMoffatManual testing2692701.421
2013-11-06Ryan PropperManual testing2702712.842
2017-01-04Judge HaleManual testing27127317.05
2017-03-05RichD0Manual testing27327422.74
2017-03-27The MawnManual testing27427545.48
2017-04-01Mark RoseManual testing27527690.95


ECM factoring results:
No ECM results for M84133771


Lucas-Lehmer results:
No L-L results for M84133771


PRP results:
No PRP results for M84133771


CERT results:
No CERT results for M84133771


P-1 factor-bounds graph:
B1 = 670000, B2 = 13232500 (P-1 stage 2)
B1 = 670000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
276
275
274
273
271
270
269
268
267
266
265
this exponent TF target: 75
TF double-checked to: 67
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00