is 2 1116943 - 1
has 336234 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-L757A966B079FFB6Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26726.602968.6567%50000002000000000.67159.0831%27.274471.5037%2.8469%
PrimeNet2560.008662.5000%4500700000.00032.0801%0.008963.2800%0.7800%
GPU722600.137565.0000%4500220000.00020.6863%0.137765.2402%0.2402%
Difference+7+26.4654+3.6567%+4995500+199978000+0.6712+8.3968%+27.1366+6.2635%+6.2635%

Known prime factors (3 factors, 263.2 bits, 0.02356306% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1116943371438716872405285511132374.97616627469659257692
22 × 2477 × 1678186279699
2017-06-16247716781862796995,940.33,929.47,339.1
111694346624591984965575338126681032891.9132087151805641182018157
32 × 17 × 60457 × 3058787 × 73767791
2015-03-12305878773767791594,463,5640.29700.3226
1116943973529455843967266273854176812996.29743580086711854018793880
23 × 5 × 7 × 131 × 2161 × 535679 × 1026359189
2015-03-1253567910263591892.786e+102.42504.4885

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
111694317318178621595045090278876416447590532657934024863
9
51166.889
111694336160653191617414060984178903538300593892352624289
53
52171.273
111694345390413664070534191373157483475410730953883620968
0929143
57188.210
111694316859757009690051345549494669971413916435942461144
486958176249648791793406786159
80263.186
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-03-10T00:00:00Jocelyn Larouchev4_computers15000168750---0.001--0.706%
2012-10-27T12:33:00kurlysmile50000010000000---0.044--4.411%
2015-03-12T10:04:00mikrMSI50000002000000001257188.2100.6710.0661.3439.083%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-12-01T00:00:00ANONYMOUSv4_computers21257--0.017--
2003-04-27T00:00:00ANONYMOUSv4_computers21258--0.034--
2022-03-07T17:30:52LordJuliusManual testing258260--0.103--
2009-02-14T21:21:00Sturle Sundegorky.ifi260261--0.138--
2011-05-09T14:44:00XyzzyManual testing261262--0.275--
2012-10-13T12:00:00dbaughManual testing262263--0.879--
2014-12-22T09:46:00Matthias WurtingerManual testing263264--1.758--
2014-12-31T18:27:00lycornManual testing264265--3.345--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.672 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.672 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001997.019
500005000000822.892
25000025000000447.760


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2004-03-01T00:00:00ANONYMOUSv4_computers757A966B079FFB6D0.033


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T03:37:55Oliver KruseGTX-3
37143871687240528551113
4662459198496557533812668103
97352945584396726627385417681
A65CD5D054B3D9DAno
2017-09-30T15:11:45alpertronManual testing
37143871687240528551113
4662459198496557533812668103
97352945584396726627385417681
A65CD5D054B3D9__no
2017-10-16T18:24:55Oliver KruseThreadripper
37143871687240528551113
4662459198496557533812668103
97352945584396726627385417681
A65CD5D054B3D9__no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 15000, B2 = 168750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
267
265
264
263
262
261
260
258
257
250
260
270
280
290
2100
Last modified: 2022-03-07T17:30:52+00:00