is 2 18091037 - 1
has 5445945 decimal digits
takes 11.005 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L12676A5384507B0Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual273105.734465.7534%21000045150000.39212.5321%106.126566.6206%0.8672%
PrimeNet2650.403361.5385%8000024000000.18214.5698%0.585363.2961%1.7576%
GPU722696.599263.7681%13000036000000.28143.4560%6.880765.0203%1.2522%
Difference+4+99.1351+1.9853%+80000+915000+0.1107-0.9239%+99.2458+1.6003%-0.3850%

Known prime factors (1 factor, 125.4 bits, 0.00069294% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
180910375456863037568101487133796974797557006338125.3591508167563188362692291712458163
7 × 421 × 63839 × 98221 × 168737 × 499253 × 968831
2022-02-224992539688319.618e+90.46290.8963

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-10-18T00:00:00Architects Cubedv4_computers2100004515000---0.392--2.532%
2022-02-22T17:21:31Sid & AndyMagic_8_Ball1000000100000038125.3590.88222.011.7641.877%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-10-20T00:00:00Net_Forcev4_computers21258--0.002--
2001-10-27T00:00:00Mike Curtisv4_computers21261--0.017--
2002-07-06T00:00:00ANONYMOUSv4_computers21266--0.816--
2014-08-17T10:13:00NesowaManual testing266267--0.826--
2016-06-01T23:45:07mikrManual testing267268--1.652--
2017-09-14T08:54:41ramgeisManual testing268269--3.305--
2020-03-10T09:59:28lycornManual testing269270--6.609--
2021-09-11T16:01:52SRBaseManual testing270271--13.22--
2021-10-08T19:12:17-Anonymous-Manual testing271272--26.44--
2021-11-10T00:54:19gcardonaManual testing272273--52.87--


ECM factoring results:
Total ECM effort:0.925 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.925


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-04-02T00:00:00ANONYMOUSv4_computers12676A5384507B0E11.01
2007-04-07T00:00:00T. Finkev4_computers12676A5384507B0E11.01
2007-04-23T00:00:00ANONYMOUSv4_computers12676A5384507B0E11.01


PRP results:
No PRP results for M18091037


P-1 factor-bounds graph:
B1 = 1000000 (P-1 stage 1)
B1 = 210000, B2 = 4515000 (P-1 stage 2)
B1 = 210000 (P-1 stage 1)
104
105
106
104
105
106
107
TF factor-bounds graph:
273
272
271
270
269
268
267
266
261
258
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2022-02-22T17:21:31+00:00