is 2 827190971 - 1
has 249009295 decimal digits
takes 35,967.489 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
Actual2759.250560.0000%----9.250560.0000%
Target2844,736.352064.2857%45000002200000001,023.96714.4962%5,760.319265.8915%
Difference-9-4,727.1015-4.2857%-4500000-220000000-1,023.9671-4.4962%-5,751.0687-5.8915%

Known prime factors (7 factors, 348.6 bits, 0.00004215% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
82719097116543819431030.6241
1		2008-05-14111.730e-136.305e-50.0001
82719097110736938803591339.966649
11 × 59		2008-05-1411591.010e-100.00090.0014
8271909711984067175401771547.495119928
23 × 3 × 19 × 263		2008-05-14192634.439e-80.00200.0024
82719097121246036126107771650.9161284228
22 × 33 × 11 × 23 × 47		2014-06-1227473.575e-70.00180.0035
82719097139189065617373691651.7992368804
22 × 127 × 4663		2008-05-1412746636.267e-70.02360.0299
8271909711477585638208657271857.03689313453
32 × 2557 × 3881		2015-02-17255738814.448e-50.16580.3281
82719097120510246535477884135592270.7971239752805249
3 × 7 × 59 × 3203 × 312397		2019-06-2132033123970.30071.26402.0043

120 Composite Factors:
P-1 results:
No P-1 results for M827190971


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-06-12TJAOIManual testing??50.916161.76144e-777,6953.80499e-7
2015-02-17pdazzlManual testing25425957.036184.15738e-577,6958.98058e-5
2019-06-16Seth_TrManual testing266267--0.018--
2019-06-17Seth_TrManual testing267268--0.036--
2019-06-18Seth_TrManual testing268269--0.072--
2019-06-20Seth_TrManual testing269270--0.145--
2022-04-15LordJuliusManual testing2127039.966131.00975e-1077,6952.18122e-10
2022-04-15LordJuliusManual testing2127057.036184.44750e-577,6959.60729e-5
2022-04-15LordJuliusManual testing2127030.624101.72962e-1377,6953.73625e-13
2022-04-15LordJuliusManual testing2127047.495154.43893e-877,6959.58877e-8
2022-04-15LordJuliusManual testing2127050.916163.57469e-777,6957.72189e-7
2022-04-15LordJuliusManual testing2127051.799166.26709e-777,6951.35379e-6
2019-06-21Seth_TrManual testing27027170.797220.01277,6950.026
2021-08-06Seth_TrManual testing270271
skipped known factors(?)
--0.289--
2022-04-15LordJuliusManual testing27027170.797220.01277,6950.026
2019-06-24Seth_TrManual testing271272--0.578--
2022-04-15LordJuliusManual testing271272--0.578--
2019-12-08Seth_TrManual testing272273--1.156--
2022-04-15LordJuliusManual testing272273--1.156--
2019-12-11Seth_TrManual testing273274--2.313--
2022-04-15LordJuliusManual testing273274--2.313--
2019-12-22Seth_TrManual testing274275--4.625--


ECM factoring results:
No ECM results for M827190971


Lucas-Lehmer results:
No L-L results for M827190971


PRP results:
No PRP results for M827190971


P-1 factor-bounds graph:
100
101
102
103
104
100
101
102
103
104
105
106
TF factor-bounds graph:
275
274
273
272
271
270
269
268
267
259
2
this exponent TF target: 84
TF double-checked to: 67.7
250
260
270
280
290
Last modified: 2023-03-25T13:08:14+00:00