is 2 27822667 - 1
has 8375458 decimal digits
takes 25.755 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2694.291063.7681%285000344967002.88446.2125%7.175466.0190%2.2509%
PrimeNet2660.530862.1212%13000045000000.49415.2883%1.024964.1244%2.0031%
GPU722708.588364.2857%20000060000000.69263.9168%9.280965.6846%1.3988%
Difference-1-4.2974-0.5176%+85000+28496700+2.1918+2.2958%-2.1055+0.3345%+0.3345%

Known prime factors (4 factors, 182.4 bits, 0.00065570% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2782266731717840391031.56357
3 × 19
-3191.041e-115.197e-68.195e-6
278226671092874359771236.6691964
22 × 491
2008-09-0844914.689e-104.098e-56.763e-5
278226673247702636536231548.2065836433
43 × 135731
2008-10-01431357311.748e-60.01000.0185
27822667734564008613732421592065.9941320081947237
19 × 69477997223
2019-08-2019694779972230.31905,080.99,489.7

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
278226673466361450950829711032168.232
2782266710301011385983832559232972579.769
27822667354933093962787337165946712684.876
278226672329878398144895011015981002013097.556
27822667802786170623817585475262975434331102.663
278226672385645467479440749735448047669205735114.200
2782266711257711223440561359742612691025616936116.438
278226672546264362714555290857957334810161833137741134.226
278226677566752216463983730657087590110897791067822344145.763
27822667260721076290979616500477658197057962013193468946150.869
2782266782695094841063046729055607214552596067131535207606
28871
55182.432
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-21T03:33:29masserManual testing28500034496700-
skipped known factor: 3171784039
skipped known factor: 109287435977
skipped known factor: 324770263653623
--2.884--6.213%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-10-01T01:55:00markrManual testing??48.206154.00528e-753.038.24678e-7
2008-09-08T23:37:00Will EdgingtonManual testing??36.669121.39876e-1053.032.88002e-10
2022-08-10T19:29:00LordJuliusManual testing2126536.669124.68913e-1053.039.65481e-10
2022-08-10T19:29:00LordJuliusManual testing2126531.563101.04093e-1153.032.14324e-11
2022-08-10T19:29:00LordJuliusManual testing2126548.206151.74826e-653.033.59963e-6
2019-08-20T11:19:25TJAOIManual testing265266*65.994200.05752.500.116
2022-08-10T19:29:00LordJuliusManual testing26526665.994200.05752.500.116
2022-08-10T19:29:00LordJuliusManual testing266267--0.537--
2022-08-10T19:29:00LordJuliusManual testing267268--1.074--
2022-08-05T12:41:58masserManual testing267269--3.223--


ECM factoring results:
No ECM results for M27822667


Lucas-Lehmer results:
No L-L results for M27822667


PRP results:
No PRP results for M27822667


P-1 factor-bounds graph:
B1 = 285000, B2 = 34496700 (P-1 stage 2)
B1 = 285000 (P-1 stage 1)
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101
102
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104
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106
100
101
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104
105
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1010
1011
TF factor-bounds graph:
269
268
267
266
265
2
230
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260
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2100
Last modified: 2022-08-10T19:29:00+00:00