is 2 5322217 - 1
has 1602147 decimal digits
takes 0.840 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5332479D9C13412Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27189.826967.6056%400000010285831710129.186112.0735%219.013071.5168%3.9111%
PrimeNet2620.115462.9032%220005500000.01163.0846%0.127164.0475%1.1443%
GPU722662.774965.1515%320006000000.01442.0279%2.789365.8582%0.7067%
Difference+5+87.0520+2.4541%+3968000+10285231710+129.1716+10.0457%+216.2237+5.6586%+3.2045%

Known prime factors (1 factor, 129.3 bits, 0.00242872% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
532221781581775323386968486789057842234191833739129.26276642661623330060092240750275904
26 × 32 × 72 × 31 × 409 × 3083 × 24223 × 1400941 × 2047131371
2022-09-13140094120471313713.531e+1025.84247.699

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-02T00:00:00hitchcockv4_computers30000450000---0.012--0.911%
2010-09-12T19:38:00Squeeky_SquirrelP4_260060000990000---0.025--1.397%
2019-06-16T16:19:25KingFactoringMachine1000000225000006---0.497--4.598%
2022-09-13T17:59:10Sid & AndyMagic_8_Ball40000001028583171039129.262129.21.681258.412.074%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-09-13T00:00:00ANONYMOUSv4_computers21262--0.115--
1998-11-21T00:00:00ANONYMOUSv4_computers21262--0.115--
2009-05-30T01:52:00GrunwalderGIMPManual testing262263--0.184--
2014-12-24T10:23:00VictordeHollanderManual testing263264--0.369--
2014-12-24T10:23:00VictordeHollanderManual testing264265--0.702--
2015-08-16T10:49:00snme2pm1Manual testing265266--1.404--
2016-08-04T12:47:59Gordon SpenceManual testing266267--2.808--
2018-06-19T09:09:04ramgeisManual testing267268--5.616--
2020-08-31T09:54:54TJAOIManual testing268269--11.23--
2022-01-22T16:33:09Gordon SpenceManual testing269270--22.47--
2022-02-09T19:40:12mikrManual testing270271--44.93--


ECM factoring results:
Total ECM effort:2.161 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.161


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-21T00:00:00ANONYMOUSv4_computers5332479D9C13412F0.840
2000-07-17T00:00:00curtiscv4_computers5332479D9C13412F0.840


PRP results:
dateuseridcompidcofactorsres64PRP
2022-09-19T15:07:33g0bg0b-PC
815817753233869684867890578422341918337
13C6AD7C0B86E8F8no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 10285831710 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000, B2 = 22500000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 30000, B2 = 450000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
103
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105
106
107
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
271
270
269
268
267
266
265
264
263
262
250
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270
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2100
2110
2120
2130
Last modified: 2022-09-19T15:07:33+00:00