is 2 8895769 - 1
has 2677894 decimal digits
takes 2.323 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF9195D092FBCA014double-checked
PRP320163D4E8834608PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272107.504366.6667%3000000419863290087.682410.4627%195.186770.1542%3.4876%
PrimeNet2640.400162.5000%3600010000000.03353.3206%0.433663.7452%1.2452%
GPU722686.700464.7059%5500012000000.04442.3052%6.744865.5195%0.8136%
Difference+4+100.8040+1.9608%+2945000+4197432900+87.6380+8.1575%+188.4419+4.6347%+2.6740%

Known prime factors (1 factor, 143.6 bits, 0.00161469% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
88957691736897832270805041959692816907518616083619344143.639976249401412517030264439654912081584
24 × 17 × 137 × 197 × 1327 × 337313 × 456149 × 2583239 × 252133043
2022-07-1625832392521330431.919e+106.12579.714

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-02T00:00:00ANONYMOUSv4_computers4000040000---0.015--0.311%
2012-06-21T09:26:00firejuggler1050001942500---0.078--1.825%
2022-07-15T15:24:17linamentMIWL29999002999900---1.136--2.853%
2022-07-16T03:35:48linamentU2K3000000419863290044143.63987.684.646175.410.463%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-21T00:00:00ANONYMOUSv4_computers21262--0.069--
1999-05-16T00:00:00Tim Towersv4_computers21263--0.179--
2006-07-10T00:00:00Tim Towersv4_computers21263--0.179--
1999-11-24T00:00:00ANONYMOUSv4_computers21264--0.400--
2014-01-11T13:29:00lycornManual testing264265--0.420--
2015-05-25T09:25:00VictordeHollanderManual testing265266--0.840--
2016-03-09T22:50:56snme2pm1Manual testing266267--1.680--
2018-04-17T09:45:11monstManual testing267268--3.360--
2020-05-01T08:50:49TJAOIManual testing268269--6.720--
2020-10-02T22:36:13-Anonymous-Manual testing269270--13.44--
2021-11-26T19:15:42mikrManual testing270271--26.88--
2022-06-29T04:33:57linamentManual testing271272--53.76--


ECM factoring results:
Total ECM effort:1.191 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-01-12T00:00:00ANONYMOUSv4_computersF9195D092FBCA0142.323
2003-03-27T00:00:00ANONYMOUSv4_computersF9195D092FBCA0142.323


PRP results:
dateuseridcompidcofactorsres64PRP
2022-07-22T03:39:09Oliver KruseServer-Phi
17368978322708050419596928169075186160836193
320163D4E8834608no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 4198632900 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2999900 (P-1 stage 1)
B1 = 105000, B2 = 1942500 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 40000 (P-1 stage 1)
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1010
TF factor-bounds graph:
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269
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250
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Last modified: 2022-07-22T03:39:09+00:00