is 2 30288431 - 1
has 9117727 decimal digits
takes 31.550 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
Actual27231.574265.2778%200000690509405.96794.9247%37.542266.9878%
Target27115.784264.7887%200000480000004.23563.5644%20.019866.0438%
Difference+1+15.7900+0.4890%-+21050940+1.7323+1.3603%+17.5224+0.9439%

Known prime factors (7 factors, 310.0 bits, 0.00102356% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3028843160576863825.8521
1		-111.476e-131.510e-63.074e-6
30288431242307449927.8524
22		2008-09-09445.908e-136.042e-61.230e-5
3028843115485869001691340.49425564
22 × 7 × 11 × 83		2008-09-0911837.415e-92.254e-53.381e-5
3028843119234970990871340.80731753
113 × 281		2008-09-091132819.058e-90.00020.0003
3028843114564209613639991650.37124042529
7 × 1193 × 2879		2014-05-27119328795.005e-60.00190.0037
302884312455601415656478071857.7694053695313
3 × 29 × 937 × 49727		2015-08-06937497270.00080.00540.0076
302884311353355327622552369212166.8752234112634660
22 × 5 × 111705631733		2019-06-1651117056317330.65859,192.417,169

120 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-04-17masserManual testing20000069050940-
skipped known factor: 60576863
skipped known factor: 242307449
skipped known factor: 1548586900169
skipped known factor: 1923497099087
skipped known factor: 1456420961363999
skipped known factor: 245560141565647807
--5.968--4.925%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-09Will EdgingtonManual testing??40.494132.57920e-979.666.51245e-9
2008-09-09Will EdgingtonManual testing??40.807134.22156e-979.661.06594e-8
2008-09-09Will EdgingtonManual testing??27.85295.11110e-1679.661.29055e-15
2014-05-27TJAOIManual testing??50.371165.25219e-879.661.32617e-7
2015-07-15TJAOIManual testing257258*57.769180.00079.660.000
2022-06-25LordJuliusManual testing2126550.371165.00459e-679.661.26365e-5
2022-06-25LordJuliusManual testing2126553.705175.94506e-579.660.000
2022-06-25LordJuliusManual testing2126540.494137.41521e-979.661.87233e-8
2022-06-25LordJuliusManual testing2126540.807139.05756e-979.662.28702e-8
2022-06-25LordJuliusManual testing2126527.85295.90844e-1379.661.49187e-12
2022-06-25LordJuliusManual testing2126557.769180.00179.660.002
2022-06-25LordJuliusManual testing2126525.85281.47615e-1379.663.72726e-13
2022-06-25LordJuliusManual testing265266--0.247--
2019-06-17Seth_TrManual testing26626766.875210.17178.680.426
2021-08-06Seth_TrManual testing266267
skipped known factors(?)
--0.493--
2019-06-20Seth_TrManual testing267268--0.987--
2021-08-06Seth_TrManual testing268269--1.974--
2019-12-17Seth_TrManual testing269270--3.948--
2022-02-22masserManual testing270271--7.895--
2022-12-06LordJuliusManual testing271272--15.79--


ECM factoring results:
No ECM results for M30288431


Lucas-Lehmer results:
No L-L results for M30288431


PRP results:
No PRP results for M30288431


P-1 factor-bounds graph:
B1 = 200000, B2 = 69050940 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
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109
1010
1011
1012
TF factor-bounds graph:
272
271
270
269
268
267
266
265
258
2
this exponent TF target: 71
TF double-checked to: 67.8
250
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270
280
Last modified: 2023-06-05T21:50:05+00:00