is 2 314597 - 1
has 94704 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-L0877CA9B36AD4B__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26794.450771.6418%1500000013050000000.879411.1799%95.330174.8122%3.1704%
PrimeNet2400.000052.5000%3200900000.000115.6669%0.000159.9418%7.4418%
GPU722440.000056.8182%55001500000.000111.4703%0.000161.7713%4.9531%
Difference+23+94.4507+14.8236%+14994500+1304850000+0.8792-0.2904%+95.3299+13.0410%+13.0410%

Known prime factors (1 factor, 63.2 bits, 0.02009586% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
314597107500432576904363832063.22117085419215203
3 × 1439 × 3957706559
2007-10-09143939577065596.77932.22344.1526

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-07-03T00:00:00ANONYMOUSv4_computers110001100000---0.001--0.799%
2001-10-20T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.392%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.618%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.317%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.009--3.145%
2006-01-15T00:00:00Jocelyn Larouchev4_computers314597314597---0.003--1.222%
2021-05-07T05:23:08George WoltmanManual testing150000001305000000---0.879--11.180%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-11T05:10:04George WoltmanManual testing750000059250000027--0.440


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:36:08LordJuliusManual testing254255--0.008--
2001-03-05T00:00:00ANONYMOUSv4_computers21256--0.031--
2002-03-03T00:00:00ANONYMOUSv4_computers21257--0.061--
2004-01-27T00:00:00ANONYMOUSv4_computers21258--0.122--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.649 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000425 / 1004.2501.396%
2550000425 / 2801.51821.859%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:7.649 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002812.147
250000250000001445.502


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-22T00:00:00ANONYMOUSv4_computers0877CA9B36AD4B__0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T17:11:23Oliver KruseOllaptop
10750043257690436383
BEDFC730541CF5__no
2017-09-22T20:37:52Oliver KruseManual testing
10750043257690436383
BEDFC730541CF5__no
2017-09-24T17:45:47Oliver KruseManual testing
10750043257690436383
BEDFC730541CF5__no
2017-11-07T00:18:39kkmrkkblmbrbkc4.xlarge
10750043257690436383
BEDFC730541CF5__no
2020-04-18T15:04:34Oliver KruseAddPrpType5
10750043257690436383
8D3C386542F127__no


P-1 factor-bounds graph:
B1 = 15000000, B2 = 1305000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 314597 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 11000, B2 = 1100000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T06:36:08+00:00