is 2 13714871 - 1
has 4128588 decimal digits
takes 6.085 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD5AFA0625A2F78AFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273139.472367.1233%30000060000000.39282.7568%139.865168.0296%
Target2698.704965.2174%90000110000000.44032.7890%9.145266.1875%
Difference+4+130.7674+1.9059%+210000-5000000-0.0475-0.0322%+130.7199+1.8421%

Known prime factors:
No known factors for M13714871

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-11-24namjoshiv4_computers200000200000---0.129--0.834%
2016-03-10ThaRiet-Ubuntu300000600000012---0.393--2.757%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-06-28lalerav4_computers21256--0.001--
2000-07-12ANONYMOUSv4_computers21265--0.532--
2014-07-02NesowaManual testing265266--0.545--
2015-08-16NesowaManual testing266267--1.090--
2017-12-23-Anonymous-Manual testing267268--2.179--
2018-01-14ramgeisManual testing268269--4.359--
2021-08-08SRBaseManual testing269270--8.718--
2021-09-05SRBaseManual testing270271--17.44--
2021-09-24Jon PaceManual testing271272--34.87--
2023-11-08Naegi MakotoGPU72_TF272273--69.74--


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)
2002-01-15namjoshiv4_computersD5AFA0625A2F78AF6.085
2005-03-06Sturle Sundev4_computersD5AFA0625A2F78AF6.085


PRP results:
No PRP results for M13714871


P-1 factor-bounds graph:
B1 = 300000, B2 = 6000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
104
105
106
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
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280
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Last modified: 2023-11-08T09:09:01+00:00