is 2 8490563 - 1
has 2555915 decimal digits
takes 2.217 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
Actual27156.307066.1972%10000000016100000000367.905615.7967%424.212671.5369%
Target2687.020164.7059%5000011000000.04062.1919%7.060765.4795%
Difference+3+49.2869+1.4913%+99950000+16098900000+367.8650+13.6048%+417.1519+6.0574%

Known prime factors (8 factors, 380.1 bits, 0.00447622% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
849056316981127824.0171
1
-112.633e-133.786e-77.705e-7
849056312396221991030.20773
73
2008-09-081731.711e-111.864e-62.938e-6
84905634692394547591238.77227633
3 × 61 × 151
2008-09-08611518.545e-92.495e-54.700e-5
8490563655048293940091445.8973857508
22 × 32 × 83 × 1291
2008-09-308312911.081e-65.634e-56.395e-5
84905632240948424653271547.67113196701
7 × 1885243
2014-03-12718852433.155e-60.03890.0726
84905638074073035803371549.52047547336
23 × 3 × 43 × 46073
2014-05-0643460731.441e-50.00100.0018
849056396149516382544367771963.060566214021276
22 × 3 × 163 × 463 × 673 × 929
2016-12-066739290.29490.00030.0005
849056322746808362429454961382732580.912133953474948772272
24 × 3 × 37 × 8419 × 40529 × 221047
2021-08-264052922104740,5260.01910.0312

247 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-26Seth_TrManual testing3000003000002580.9120.1144.4340.2271.234%
2021-08-27Seth_TrManual testing1000000100000000-
skipped known factor: 16981127
skipped known factor: 1239622199
skipped known factor: 469239454759
skipped known factor: 65504829394009
skipped known factor: 224094842465327
skipped known factor: 807407303580337
skipped known factor: 9614951638254436777
skipped known factor: 2274680836242945496138273
--2.421--6.248%
2021-08-26H Michaelson10000001000000101332.3850.3794.4340.7572.104%
2021-08-26H Michaelson3030101332.3851.13583e-54.4342.27167e-50.000%
2021-08-27H Michaelson1000000100000000-
skipped known factor: 16981127
skipped known factor: 1239622199
skipped known factor: 469239454759
skipped known factor: 65504829394009
skipped known factor: 224094842465327
skipped known factor: 807407303580337
skipped known factor: 9614951638254436777
skipped known factor: 2274680836242945496138273
--2.421--6.248%
2021-12-09nordisweet16_30.8b360000006107621520-
skipped known factor: 16981127
skipped known factor: 1239622199
skipped known factor: 469239454759
skipped known factor: 65504829394009
skipped known factor: 224094842465327
skipped known factor: 807407303580337
skipped known factor: 9614951638254436777
skipped known factor: 2274680836242945496138273
--128.1--12.342%
2021-12-05Seth_TrManual testing10000000016100000000-
skipped known factor: 16981127
skipped known factor: 1239622199
skipped known factor: 469239454759
skipped known factor: 65504829394009
skipped known factor: 224094842465327
skipped known factor: 807407303580337
skipped known factor: 9614951638254436777
skipped known factor: 2274680836242945496138273
--367.9--15.797%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08Will EdgingtonManual testing??30.207102.66200e-1311.491.38020e-12
2008-09-08Will EdgingtonManual testing??38.772124.23166e-911.492.19405e-8
2008-09-30markrManual testing??45.897145.29106e-711.492.74333e-6
2014-03-12TJAOIManual testing??47.671159.46846e-711.494.90924e-6
2014-05-06TJAOIManual testing??49.520155.57497e-611.492.89053e-5
2016-12-06TJAOIManual testing263264*63.060190.10711.080.534
2022-04-09LordJuliusManual testing2126430.207101.71134e-1111.498.87301e-11
2022-04-09LordJuliusManual testing2126424.01782.63294e-1311.491.36514e-12
2022-04-09LordJuliusManual testing2126447.671153.15504e-611.491.63584e-5
2022-04-09LordJuliusManual testing2126463.060190.29511.081.473
2022-04-09LordJuliusManual testing2126454.225170.00011.490.002
2022-04-09LordJuliusManual testing2126438.772128.54454e-911.494.43020e-8
2022-04-09LordJuliusManual testing2126445.897141.08115e-611.495.60561e-6
2022-04-09LordJuliusManual testing2126462.789190.13411.310.682
2022-04-09LordJuliusManual testing2126449.520151.44077e-511.497.47017e-5
2022-04-09LordJuliusManual testing264265--0.440--
2022-04-10James HeinrichManual testing264265--0.440--
2022-04-09LordJuliusManual testing265266--0.880--
2022-04-10James HeinrichManual testing265266--0.880--
2019-06-18Seth_TrManual testing266267--1.760--
2019-12-17Seth_TrManual testing267268--3.520--
2021-08-26Seth_TrManual testing268269--7.041--
2021-08-26Seth_TrManual testing269270--14.08--
2021-08-26Seth_TrManual testing270271--28.16--


ECM factoring results:
Total ECM effort:14.321 GHz-days
Estimated T-Level:20.584
DigitsB1CompleteFacMiss
20110001.25028.650%
25500000.11788.982%
302500000.00799.260%


ECM Summary

B1B2factorcurvesGHz-days
5000070330343014.32


Lucas-Lehmer results:
No L-L results for M8490563


PRP results:
dateuseridcompidcofactorsres64PRP
2018-11-07Luigi MorelliGoogleCloudTmp
16981127
1239622199
469239454759
65504829394009
224094842465327
807407303580337
9614951638254436777
8472C712F40278__no
2020-06-15ATHec2-PRPCFDC
16981127
1239622199
469239454759
65504829394009
224094842465327
807407303580337
9614951638254436777
8472C712F4027836no
2021-08-27H Michaelson
16981127
1239622199
469239454759
65504829394009
224094842465327
807407303580337
9614951638254436777
2274680836242945496138273
8472C712F4027836no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 16100000000 (P-1 stage 2)
B1 = 6000000, B2 = 6107621520 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 30 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
271
270
269
268
267
266
265
264
2
this exponent TF target: 68
TF double-checked to: 67.7
ECM T-Level=20.58 ~= 52-bit
250
260
270
280
290
Last modified: 2023-03-23T17:39:31+00:00