is 2 27537343 - 1
has 8289567 decimal digits
takes 25.491 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
Actual2694.335563.7681%285000344967002.88446.2049%7.219966.0163%2.2481%
PrimeNet2660.536362.1212%13000045000000.49415.2811%1.030464.1216%2.0004%
GPU722708.677364.2857%20000060000000.69263.9114%9.369965.6826%1.3969%
Difference-1-4.3419-0.5176%+85000+28496700+2.1918+2.2935%-2.1500+0.3336%+0.3336%

Known prime factors (5 factors, 220.4 bits, 0.00080039% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27537343275373431928.0375
5
-151.300e-121.635e-62.732e-6
2753734311014937211030.03720
22 × 5
2008-09-08455.217e-125.442e-61.093e-5
2753734397700289976571343.151177396
22 × 3 × 14783
2008-03-114147835.946e-80.00110.0020
27537343202663829542811444.204367980
22 × 3 × 5 × 6133
2008-03-11561331.404e-70.00050.0008
27537343371659333080804054641512374.976674827874789525
52 × 6072 × 613 × 119513
2022-05-16368449368449254.570.49461.0065

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
275373433033221051767267511858.074
2753734326904064060542990511672271.188
2753734355808234080802751081112272.241
27537343107616255949071092116972373.188
27537343223232935715219515696012374.241
275373431980031491409469088871196172787.356
27537343296346576320698678991670822240731101.225
27537343614724194201024369553686267103131102.278
275373431023451057136328127653440837208132103.013
275373434093804217395532518189641709587132105.013
275373435452480652774725288909052064069592735115.392
2753734321809922551697956413352135590142485736117.392
2753734336311224614493171397568134037649420736118.128
2753734375321903727482518701964887841748043136119.181
275373431127324913186477673605951546229705320340141133.050
275373436005873202905341133233231788634746066077436744145.429
275373439999146505904636933819402126215404153321421744146.165
2753734320741651058888550167481737606512343665982876145147.217
2753734339996585914684873891798094312157214500337424745148.165
2753734382966604009588489487479394320154711138687375145149.217
27537343735897183576233084277747769876922059567034235016749162.332
2753734311013997091613047007386763990000317168360867297343
1457
54176.202
2753734322846798404538739248274632355742915257074259317670
9681
54177.254
2753734320264653230462415447327556034360647526256059179100
90212977
58190.369
2753734381058612701080506716440298854118259141947618846293
33801407
58192.369
2753734322321388291596716541724709202123913499665231823984
05812137718217417
67220.406
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-16T13:09:05masserManual testing285000344967002374.9762.88450.985.7696.205%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T23:33:00Will EdgingtonManual testing??30.037102.24869e-1452.514.63186e-14
2022-07-23T03:18:52masserManual testing267269--3.256--


ECM factoring results:
No ECM results for M27537343


Lucas-Lehmer results:
No L-L results for M27537343


PRP results:
No PRP results for M27537343


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:
269
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-07-23T03:18:52+00:00