is 2 1112341 - 1
has 334849 decimal digits
takes 0.033 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L30DA144F29EDE6F1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26726.713068.6567%500000100000000.04374.4086%26.756770.0385%1.3818%
PrimeNet2560.008662.5000%4500700000.00032.0783%0.009063.2794%0.7794%
GPU722600.138165.0000%4500220000.00020.6856%0.138365.2400%0.2400%
Difference+7+26.5749+3.6567%+495500+9978000+0.0435+3.7230%+26.6184+4.7986%+4.7986%

Known prime factors (1 factor, 81.9 bits, 0.00735919% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
111234143862728912804440992027772581.8591971640392325934268
22 × 3 × 139 × 1182038604511951
2013-12-081391182038604511951507,7432,767,7115,169,313

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-03-10T00:00:00Jocelyn Larouchev4_computers15000168750---0.001--0.706%
2012-10-23T08:44:00kurlysmile50000010000000---0.044--4.409%
2016-03-17T19:00:00alpertronManual testing3000001000000012---0.036--4.121%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-12-01T00:00:00ANONYMOUSv4_computers21257--0.017--
2003-04-27T00:00:00ANONYMOUSv4_computers21258--0.035--
2022-03-07T17:30:51LordJuliusManual testing258260--0.104--
2009-01-14T17:21:00Architects Cubedm1_tt260261--0.138--
2011-05-09T14:44:00XyzzyManual testing261262--0.276--
2012-10-11T11:55:00dbaughManual testing262263--0.883--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.592 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000323 / 1003.2303.892%
2550000323 / 2801.15431.486%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.592 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002799.84
25000025000000447.756


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-04-28T00:00:00ANONYMOUSv4_computers30DA144F29EDE6F10.033


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T03:05:24Oliver KruseGTX-2
4386272891280444099202777
96D3F5CA60B5D1__no
2017-10-16T16:49:17Oliver KruseThreadripper
4386272891280444099202777
96D3F5CA60B5D1__no
2018-01-03T00:29:01ATHec2-1xf
4386272891280444099202777
96D3F5CA60B5D1__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 15000, B2 = 168750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
267
263
262
261
260
258
257
250
260
270
280
290
2100
Last modified: 2022-03-07T17:30:51+00:00