is 2 5506307 - 1
has 1657564 decimal digits
takes 0.870 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBBCA4758C50912E9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272173.679768.0556 %7000000596029962075.872711.2443 %249.552471.6475 %
Target2662.682165.1515 %3400035000000.05102.1540 %2.733165.9021 %
Difference+6+170.9976+2.9040 %+6966000+5956799620+75.8217+9.0903%+246.8193+5.7453 %

Known prime factors (1 factor, 76.0 bits, 0.00138068% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5506307768573995378582495458572376.0256979033273831104
26 × 3 × 193 × 311 × 605586719
2022-08-123116055867192,793.87.555014.111

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-07-17Stephen Woodv4_computers2000020000--0.0050.447%
2010-04-29Squeeky_SquirrelP4_26006000010350006--0.0292.687%
2019-09-08GdSManual testing200000600000012--0.1154.801%
2020-12-23Dylan Delgadolaptop-i78750100000020000000--0.4667.121%
2022-08-12Sid & AndyPterodactyl7000000596029962022376.02585.1516.588%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-03-31Sturle Sundev4_computers212620.056
2009-05-01GrunwalderGIMPManual testing2622630.178
2014-12-02NesowaManual testing2632640.357
2014-12-03monstManual testing2642650.679
2015-08-30snme2pm1Manual testing2652661.357
2016-07-14Gordon SpenceManual testing2662672.714
2018-07-05ramgeisManual testing2672685.428
2020-08-31TJAOIManual testing26826910.86
2021-08-18SRBaseManual testing26927021.71
2021-08-24SRBaseManual testing27027143.43
2021-09-17SRBaseManual testing27127286.86


ECM factoring results:
Total ECM effort:2.249 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.249


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-06ANONYMOUSv4_computersCC207EC0BF668B890.870
1998-12-27ANONYMOUSv4_computersCC207EC0BF668B890.870
1999-02-07ANONYMOUSv4_computersCC207EC0BF668B890.870
1999-03-15ANONYMOUSv4_computersCC207EC0BF668B890.870
1999-05-16ANONYMOUSv4_computersCC207EC0BF668B890.870
1999-09-22ANONYMOUSv4_computersBBCA4758C50912E90.870
2000-08-10Stephen Woodv4_computersBBCA4758C50912E90.870
2002-07-14ANONYMOUSv4_computersBBCA4758C50912E90.870


PRP results:
dateuseridcompidcofactorsres64
2022-08-13LordJuliusWhitebox
76857399537858249545857
3170F280E327A1BA


CERT results:
dateuseridcompid
2022-08-13curtiscot014019


P-1 factor-bounds graph:
B1 = 7000000, B2 = 5960299620 (P-1 stage 2)
B1 = 7000000 (P-1 stage 1)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 200000, B2 = 6000000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 60000, B2 = 1035000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
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
ECM T-Level=1.73 ~= -11-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00