is 2 27578027 - 1
has 8301814 decimal digits
takes 25.529 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
Actual27117.335564.7887%285000344967002.88445.1163%20.219966.5902%1.8015%
PrimeNet2660.535562.1212%13000045000000.49415.2822%1.029664.1220%2.0008%
GPU722708.664564.2857%20000060000000.69263.9121%9.357165.6829%1.3972%
Difference+1+8.6709+0.5030%+85000+28496700+2.1918+1.2041%+10.8628+0.9073%+0.9073%

Known prime factors (5 factors, 214.5 bits, 0.00077780% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27578027218969534391134.350397
397
-13979.012e-113.030e-55.442e-5
27578027371200243431135.111673
673
2008-09-0816731.902e-105.049e-59.237e-5
2757802716598111330231340.59430093
3 × 7 × 1433
2008-09-08714338.039e-90.00010.0002
2757802718355893404159511650.70533279925
52 × 7 × 19 × 10009
2014-06-0625100097.870e-60.00080.0014
27578027150573624822287771753.741272995644
22 × 3 × 127 × 271 × 661
2014-10-092716618.555e-50.00040.0007

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
275780278128154446932175655772169.461
27578027363448070973384663160972374.944
27578027616122296625961711788892375.706
27578027401938143202127999399054892685.055
27578027681371209999914148654951932685.817
275780273297103651875089949149141032788.091
275780275589296618817071071351185112788.853
2757802730467316228807408754120498732891.299
27578027249923778819661580546656028712994.335
275780272763913406715820748428272202192732104.446
27578027134912012419484304016380617274927134110.056
27578027149199536600432113070948068879931872737120.167
275780271223885678189975365077307471711400932938123.203
275780276671414048734848999872175600862686324738125.649
2757802711309475200792099708117042144129005843939126.411
2757802754725693481130640069672752278115172336939128.685
2757802792771767536803856769137270329629068875339129.447
2757802760521283176284196833004008842631545605695342138.796
27578027102596532939235325864881943134823241976896143139.558
275780274587574243178446253828102330367720731979532144145.041
27578027247643051891269783227684362192393568173237202172149160.761
275780272031419074207125770549423780607443903303368197156750163.797
2757802722465515047732657467273123140550702290631242154406
879
53173.908
2757802710045389960083410098843793223778937661671081269470
58919
55179.391
2757802717029086758210372663501631544074482171250601012974
99103
55180.152
2757802737288511985322398117953364062113261245191003478187
961345535265217
65214.502
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-02T12:46:10masserManual testing28500034496700-
skipped known factor: 21896953439
skipped known factor: 37120024343
skipped known factor: 1659811133023
skipped known factor: 1835589340415951
skipped known factor: 15057362482228777
--2.884--5.116%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T23:33:00Will EdgingtonManual testing??40.594132.72807e-952.585.61897e-9
2008-09-08T23:33:00Will EdgingtonManual testing??35.111112.41782e-1152.584.97994e-11
2014-06-06T11:24:00TJAOIManual testing??50.705162.43096e-652.585.00701e-6
2014-10-09T11:32:00TJAOIManual testing253254*53.741174.20409e-552.588.65909e-5
2022-08-10T19:28:58LordJuliusManual testing2126553.741178.55511e-552.580.000
2022-08-10T19:28:58LordJuliusManual testing2126540.594138.03937e-952.581.65586e-8
2022-08-10T19:28:58LordJuliusManual testing2126550.705167.86973e-652.581.62091e-5
2022-08-10T19:28:58LordJuliusManual testing2126534.350119.01203e-1152.581.85619e-10
2022-08-10T19:28:58LordJuliusManual testing2126535.111111.90156e-1052.583.91661e-10
2022-08-10T19:28:58LordJuliusManual testing265266--0.271--
2022-08-10T19:28:58LordJuliusManual testing266267--0.542--
2022-03-26T23:40:01masserManual testing267268--1.084--
2022-08-10T19:28:58LordJuliusManual testing267268--1.084--
2022-03-26T23:40:01masserManual testing268269--2.168--
2022-03-26T23:40:02masserManual testing269270--4.335--
2022-06-20T14:12:55masserManual testing270271--8.671--


ECM factoring results:
No ECM results for M27578027


Lucas-Lehmer results:
No L-L results for M27578027


PRP results:
No PRP results for M27578027


P-1 factor-bounds graph:
B1 = 285000, B2 = 34496700 (P-1 stage 2)
B1 = 285000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
271
270
269
268
267
266
265
254
2
230
240
250
260
270
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290
2100
Last modified: 2022-08-10T19:28:58+00:00