is 2 6351847 - 1
has 1912097 decimal digits
takes 1.126 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDC88901E92301E67double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272150.559968.0556%400000018004726740253.048112.0479%403.608071.9042%
Target2662.325165.1515%4500050000000.08092.5695%2.406066.0469%
Difference+6+148.2349+2.9040%+3955000+17999726740+252.9671+9.4784%+401.2020+5.8572%

Known prime factors:
No known factors for M6351847

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-07-22ANONYMOUSv4_computers2500081250---0.007--0.409%
2011-06-27markrtiny1650003547500---0.090--2.202%
2020-03-19takahashivaio7000001500000012---0.380--3.782%
2023-04-02linamentU2K39999003999900---1.028--3.013%
2023-04-03linamentCyber400000018004726740---253.0--12.048%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-06-20ANONYMOUSv4_computers21262--0.097--
2016-02-23Mark RoseManual testing262263--0.155--
2014-08-17NesowaManual testing263264--0.309--
2014-08-21lycornManual testing264265--0.588--
2015-10-20snme2pm1Manual testing265266--1.176--
2016-04-02Gordon SpenceManual testing266267--2.353--
2018-06-04ramgeisManual testing267268--4.706--
2020-04-30takahashiManual testing268269--9.412--
2021-02-07takahashiManual testing269270--18.82--
2021-12-26mikrManual testing270271--37.65--
2022-06-17takahashiManual testing271272--75.29--


ECM factoring results:
Total ECM effort:1.617 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.617


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26ANONYMOUSv4_computersDC88901E92301E671.126
2001-08-12ANONYMOUSv4_computersDC88901E92301E671.126


PRP results:
No PRP results for M6351847


P-1 factor-bounds graph:
B1 = 4000000, B2 = 18004726740 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3999900 (P-1 stage 1)
B1 = 700000, B2 = 15000000 (P-1 stage 2)
B1 = 700000 (P-1 stage 1)
B1 = 165000, B2 = 3547500 (P-1 stage 2)
B1 = 165000 (P-1 stage 1)
B1 = 25000, B2 = 81250 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
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109
1010
1011
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
this exponent TF target: 66
TF double-checked to: 67.9
ECM T-Level=1.15 ~= -13-bit
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Last modified: 2023-10-02T12:12:48+00:00