is 2 333333493 - 1
has 100343380 decimal digits
takes 4,958.336 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
Actual2811,469.199264.1975%310000068200000143.36384.1330%1,612.563065.6773%
Target2811,469.199264.1975%200000080000000134.79734.0578%1,603.996465.6503%
Difference---+1100000-11800000+8.5665+0.0752%+8.5665+0.0269%

Known prime factors (1 factor, 80.4 bits, 0.00002411% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33333349315745098345736228371607612580.3812361763620575660
22 × 5 × 7 × 10739 × 1570885571		2023-03-181073915708855711,357.91,846.23,447.8

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2018-06-16JamesShaoJamesShao310000068200000---143.4--4.133%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-18monstabbe268269--0.179--
2008-09-18monstabbe269270--0.359--
2009-03-31unconnectedireland-E5320270271--0.717--
2009-04-24unconnectedgreece-E8400271272--1.435--
2009-04-27unconnectedgreece-E8400272273--2.870--
2009-05-10unconnecteddual-E5130273274--5.739--
2011-05-24Sebastian HornbostelManual testing274275--11.48--
2011-06-10Sebastian HornbostelManual testing275276--22.96--
2018-07-26JamesShaoJamesShao276277--45.91--
2023-03-18Magallan3sManual testing277278--91.82--
2023-03-18Magallan3sManual testing278279--183.6--
2023-03-20James HeinrichManual testing279280--367.3--
2023-03-18Magallan3sManual testing28028180.38125623.310,0511,264


ECM factoring results:
No ECM results for M333333493


Lucas-Lehmer results:
No L-L results for M333333493


PRP results:
No PRP results for M333333493


P-1 factor-bounds graph:
B1 = 3100000, B2 = 68200000 (P-1 stage 2)
B1 = 3100000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
281
280
279
278
277
276
275
274
273
272
271
270
269
this exponent TF target: 81
TF double-checked to: 67.7
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290
Last modified: 2023-03-20T18:52:24+00:00