is 2 10290209 - 1
has 3097662 decimal digits
takes 3.361 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8BD7FDA296DA866Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27292.936366.6667%700000010459345050273.055912.4997%365.992170.8332%4.1666%
Target2685.792464.7059%7000016000000.07262.6587%5.865065.6442%0.9384%
Difference+4+87.1439+1.9608%+6930000+10457745050+272.9832+9.8411%+360.1271+5.1890%+3.2282%

Known prime factors (2 factors, 226.8 bits, 0.00220447% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1029020910737946182474173478318732579.82952175549507663904
25 × 3 × 7 × 185177 × 419286341
2022-12-1818517741928634121,84910.90320.209
1029020918036132067912830173418452871938844983943962345147.0168763734569391559575426724992630783779
19 × 283 × 479 × 157427 × 330907 × 547901 × 2808101 × 42453517
2022-12-182808101424535171.526e+102.35322.7070

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers55000825000---0.046--1.274%
2003-12-23T00:00:00ANONYMOUSv4_computers55000825000---0.046--1.274%
2004-10-03T00:00:00ANONYMOUSv4_computers55000825000---0.046--1.274%
2013-06-20T00:24:00NesowaEPC1250002531250---0.121--2.067%
2022-12-18T15:24:19mikrG11170000001045934505069226.845273.16.723546.112.500%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-15T00:00:00ANONYMOUSv4_computers21264--0.346--
1999-10-21T00:00:00ANONYMOUSv4_computers21264--0.346--
2013-09-20T13:12:00NesowaManual testing264265--0.363--
2015-04-28T12:34:00ThaManual testing265266--0.726--
2015-12-02T00:43:32VictordeHollanderManual testing266267--1.452--
2017-09-25T15:59:51-Anonymous-Manual testing267268--2.905--
2017-12-07T10:52:23ramgeisManual testing268269--5.810--
2020-08-05T17:31:07ViliamFManual testing269270--11.62--
2021-09-29T10:35:07mikrManual testing270271--23.24--
2022-08-27T19:13:01Architects CubedGPU72_TF271272--46.48--


ECM factoring results:
Total ECM effort:0.993 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020.993


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-06-29T00:00:00ANONYMOUSv4_computers8BD7FDA296DA866E3.361
2003-12-13T00:00:00ANONYMOUSv4_computers8BD7FDA296DA866E3.361
2003-12-23T00:00:00ANONYMOUSv4_computers8BD7FDA296DA866E3.361
2004-10-03T00:00:00ANONYMOUSv4_computers8BD7FDA296DA866E3.361


PRP results:
dateuseridcompidcofactorsres64PRP
2022-12-24T17:27:11Funky Waddlemain
1073794618247417347831873
180361320679128301734184528719388449839439623
240BA1CBEE73057Cno


P-1 factor-bounds graph:
B1 = 7000000, B2 = 10459345050 (P-1 stage 2)
B1 = 7000000 (P-1 stage 1)
B1 = 125000, B2 = 2531250 (P-1 stage 2)
B1 = 125000 (P-1 stage 1)
B1 = 55000, B2 = 825000 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
103
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107
103
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106
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109
1010
1011
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
250
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270
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290
2100
2110
2120
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Last modified: 2022-12-24T17:27:11+00:00