is 2 84278399 - 1
has 25370327 decimal digits
takes 262.990 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
Actual276181.588664.4737 %665000123025005.87783.3594 %187.466465.6671 %
Target27590.793264.0000 %5500009500000025.77233.9400 %116.565565.4184 %
Difference+1+90.7953+0.4737 %+115000-82697500-19.8945-0.5806 %+70.9009+0.2487 %

Known prime factors (2 factors, 162.9 bits, 0.00019328% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
842783991519916726677018969865272477.008901723777807537
127 × 2239 × 4457 × 711497
2017-11-164457711497634.940.19450.3276
84278399714657490839356412342509292685.885423986157377856936
23 × 32 × 257 × 1109 × 15641 × 1320961
2017-11-16156411320961155,2790.39260.6082

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-11-16Chang Chia-Tcheex0166500012302500250162.8945.8783.705%


Trial Factoring results:
5758596061626364656667686970717273747576
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-12-24Architects Cubeda3_bu22642650.044
2012-08-10Carsten KossendeyManual testing2652660.089
2013-12-12ANONYMOUSdell12662670.177
2014-02-16symalladSchool_Laptop2672680.355
2014-03-09ANONYMOUS2682690.709
2014-05-10JMGarciamcsanchez2692701.419
2014-08-17PascalBieriManual testing2702712.837
2017-01-12Judge HaleManual testing27127317.02
2017-03-31Travis Glenn RussoManual testing27327422.70
2017-04-19TheJudgerManual testing274276136.2


ECM factoring results:
No ECM results for M84278399


Lucas-Lehmer results:
No L-L results for M84278399


PRP results:
No PRP results for M84278399


CERT results:
No CERT results for M84278399


P-1 factor-bounds graph:
B1 = 665000, B2 = 12302500 (P-1 stage 2)
B1 = 665000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
276
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