is 2 27839299 - 1
has 8380465 decimal digits
takes 25.771 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
Actual27117.172864.7887%200000726459305.56645.4236%22.739266.6984%1.9097%
PrimeNet2660.530562.1212%13000045000000.49415.2887%1.024664.1245%2.0033%
GPU722708.583264.2857%20000060000000.69263.9171%9.275865.6847%1.3990%
Difference+1+8.5896+0.5030%-+66645930+4.8738+1.5065%+13.4634+1.0138%+1.0138%

Known prime factors (5 factors, 228.1 bits, 0.00081939% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27839299278392991928.0535
5
-151.286e-121.635e-62.732e-6
27839299140310066971133.708252
22 × 32 × 7
2008-09-08994.335e-111.208e-52.459e-5
27839299935106463402571446.4101679472
24 × 32 × 107 × 109
2014-02-121071095.125e-70.00010.0003
27839299106366734953765591753.240191037021
3 × 7 × 2591 × 3511
2014-09-12259135114.330e-50.00350.0071
278392991201339485291851647992166.7032157632426901
3 × 7 × 29 × 3542910389
2020-08-032935429103890.9722259.09483.91

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2783929939061339211188607271961.760
27839299260327085250073499386872374.463
2783929913120485050409445077011292580.118
2783929929611753486683049312979692581.292
278392991492432370474308978658156232786.948
27839299334444492516799088212215238092994.756
278392999946422134629426588634558356633099.650
27839299168560023635005034724781765890331100.411
2783929936526510765542711896393983638683933108.171
278392991123380317437127153866590677301334335113.113
278392994154827114815629652267992794149839335115.0003
27839299127782558621531559588893173897654664137119.943
2783929927690142078080907446249013068662703803339127.703
2783929946925929142779743917090857628462394887339128.464
278392991395583155821745200784013523875128443511141133.358
27839299312741206601851282812237393626634264067891343141.166
2783929915762156757238316972342683237772787450335807145146.821
2783929935573768692281007874846701060851209823899323145147.996
278392991792917935778504400988614689775578184580385477747153.651
27839299388520568938434709286157069896046917898229670700149161.411
2783929911949029647711195695431358987198050195798291642673
7
51166.353
2783929943880739642584359617365438635291304767062492929680
361
53174.874
2783929949913578675892375369788380043316032955968359306986
68007
55181.704
2783929933265261031739960738374610636407959033764220430942
345800367
59194.406
2783929916765691500968733752447497025318697956258799129951
38156857689
61200.061
2783929946674510031379651868265122673420750522684742598553
6279945839202057799
69228.114
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-04-15T15:06:04masserManual testing20000072645930-
skipped known factor: 278392991
skipped known factor: 14031006697
skipped known factor: 93510646340257
skipped known factor: 10636673495376559
--5.566--5.424%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T23:37:00Will EdgingtonManual testing??33.708112.24209e-1253.064.61631e-12
2014-02-12T11:35:00TJAOIManual testing??46.410141.75801e-753.063.61961e-7
2014-09-12T11:10:00TJAOIManual testing253254*53.240171.95917e-753.064.03379e-7
2022-08-10T19:29:02LordJuliusManual testing2126553.240174.32977e-553.068.91467e-5
2022-08-10T19:29:02LordJuliusManual testing2126533.708114.33471e-1153.068.92487e-11
2022-08-10T19:29:02LordJuliusManual testing2126528.05391.28592e-1253.062.64762e-12
2022-08-10T19:29:02LordJuliusManual testing2126561.760190.01453.040.028
2022-08-10T19:29:02LordJuliusManual testing2126546.410145.12533e-753.061.05527e-6
2022-08-10T19:29:02LordJuliusManual testing265266--0.268--
2020-08-03T16:10:55TJAOIManual testing266267*66.703210.44252.530.900
2022-08-10T19:29:02LordJuliusManual testing26626766.703210.44252.530.900
2022-03-28T14:24:18masserManual testing267268--1.074--
2022-08-10T19:29:02LordJuliusManual testing267268--1.074--
2022-03-28T14:24:18masserManual testing268269--2.147--
2022-03-28T14:24:18masserManual testing269270--4.295--
2022-03-28T14:24:18masserManual testing270271--8.590--


ECM factoring results:
No ECM results for M27839299


Lucas-Lehmer results:
No L-L results for M27839299


PRP results:
No PRP results for M27839299


P-1 factor-bounds graph:
B1 = 200000, B2 = 72645930 (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
108
109
1010
TF factor-bounds graph:
271
270
269
268
267
266
265
254
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-08-10T19:29:02+00:00