is 2 13985009 - 1
has 4209908 decimal digits
takes 6.205 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC343EA251E3F08E3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273136.778267.1233%30000060000000.39282.7642%137.171068.0321%
Target2698.536865.2174%90000120000000.47542.8526%9.012166.2096%
Difference+4+128.2414+1.9059%+210000-6000000-0.0826-0.0884%+128.1589+1.8224%

Known prime factors:
No known factors for M13985009

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-08ANONYMOUSv4_computers200000200000---0.129--0.837%
2017-02-07ThaRiet-Ubuntu300000600000012---0.393--2.764%
2023-11-20nordisweet16_30.8b1420000002000000---1.287--2.368%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-01lalerav4_computers21256--0.001--
2000-10-28ANONYMOUSv4_computers21265--0.522--
2014-07-15NesowaManual testing265266--0.534--
2015-09-20NesowaManual testing266267--1.069--
2017-12-22-Anonymous-Manual testing267268--2.137--
2018-01-07ramgeisManual testing268269--4.275--
2021-08-09SRBaseManual testing269270--8.549--
2021-09-05SRBaseManual testing270271--17.10--
2021-10-23-Anonymous-Manual testing271272--34.20--
2023-09-14Sid & AndyManual testing272273--68.40--


ECM factoring results:
Total ECM effort:0.675 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.675


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Ernst W. MayeralphaC343EA251E3F08E36.205
2005-03-20Team Prime Ribv4_computersC343EA251E3F08E36.205


PRP results:
No PRP results for M13985009


P-1 factor-bounds graph:
B1 = 2000000 (P-1 stage 1)
B1 = 300000, B2 = 6000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
104
105
106
107
104
105
106
107
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
256
this exponent TF target: 69
TF double-checked to: 67.9
ECM T-Level=0.19 ~= -16-bit
250
260
270
280
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Last modified: 2023-11-20T15:27:43+00:00