is 2 276919 - 1
has 83361 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9615BF82C36E05__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267107.301871.6418%131072131072000.00833.0874%107.310172.5173%0.8755%
PrimeNet2400.000052.5000%2800800000.000114.8796%0.000159.5678%7.0678%
GPU722440.000056.8182%50001300000.000110.8213%0.000161.4910%4.6728%
Difference+23+107.3018+14.8236%+126072+12977200+0.0082-7.7339%+107.3100+11.0263%+11.0263%

Known prime factors (2 factors, 141.8 bits, 0.05119312% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2769194101314528909308331858.509740526025464
23 × 33 × 151 × 22704379
2014-04-23151227043790.20780.01230.0229
276919115381140004126804419647292683.25520833012542318657156
22 × 33 × 7 × 43 × 421 × 1187 × 1282416241
2020-09-281187128241624110,160,8820.69231.2930

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
276919473214345861044274651162776747895216458925743141.763
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-08T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.280%
2001-06-30T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.754%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.582%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.270%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.087%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers??58.509180.0690.0040.144
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.009--
2022-03-07T06:11:25LordJuliusManual testing254255--0.009--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.035--
2002-03-24T00:00:00ANONYMOUSv4_computers21257--0.069--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.282 GHz-days
Estimated T-Level:26.508
DigitsB1CurvesCompleteFacMiss
2011000474 / 1004.7400.853%
2550000474 / 2801.69318.344%
30250000193 / 6400.30273.949%

New Calculation Method

Total ECM effort:9.282 GHz-days
Estimated T-Level:26.508
DigitsB1CompleteFacMiss
201100025.1480.000%
25500003.1714.196%
302500000.30573.747%
3510000000.02397.681%
4030000000.00299.850%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.053
250000250000001605.845
2500002500000050.183
2500003675000070.296
25000038500000210.905


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-11-24T00:00:00ANONYMOUSv4_computers9615BF82C36E05__0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T10:54:22Oliver KruseOllaptop
410131452890930833
7957627976249B__no
2017-09-22T20:35:53Oliver KruseManual testing
410131452890930833
7957627976249B__no
2017-10-12T18:39:10Oliver KruseGTX-17957627976249B__no
2017-11-06T14:52:57kkmrkkblmbrbkc4.xlarge
410131452890930833
7957627976249B__no
2020-04-17T21:20:15Oliver KruseAddPrpType5
410131452890930833
5EAF5ACDA636DC__no
2020-09-29T03:18:32firejugglerMaison
410131452890930833
11538114000412680441964729
5EAF5ACDA636DC8Cno
2020-10-03T08:44:09roemer2201ws-rebentrost-o
410131452890930833
11538114000412680441964729
5EAF5ACDA636DC8Cno


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
257
256
255
254
253
2
250
260
270
280
290
2100
Last modified: 2022-04-27T00:14:31+00:00