is 2 1518103 - 1
has 456995 decimal digits
takes 0.068 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L96D29E03F336E201double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26839.262769.1176 %1000000013222301405.278111.5940 %44.540872.6981 %
Target2610.202365.5738 %60002500000.00120.9505 %0.203665.9010 %
Difference+7+39.0604+3.5439 %+9994000+1321980140+5.2768+10.6434%+44.3372+6.7971 %

Known prime factors (1 factor, 121.0 bits, 0.00797092% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1518103267086900006534075810055692964820140737121.007879673184252103038496253854201
32 × 72 × 281 × 347 × 479 × 21613 × 1656073 × 1193210113
2022-12-22165607311932101138.860e+104.31197.8639

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-01-28James HeinrichWHS8000013200006--0.0104.433%
2013-11-20David Campeaui5-2500k9400002726000012--0.15410.019%
2015-02-24VictordeHollanderManual testing1000000020000000012--1.31814.707%
2022-12-22JossManual testing100000001322230140237121.0076.41118.169%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-08-08ANONYMOUSv4_computers212580.025
2010-04-04GrunwalderGIMPManual testing212631.051
2016-02-23Mark RoseManual testing2582631.026
2015-01-26snme2pm1Manual testing2632653.754
2015-09-29ramgeisManual testing2652664.922
2018-03-12TJAOIManual testing2662679.84
2018-06-06ramgeisManual testing26726819.69


ECM factoring results:
Total ECM effort:29.665 GHz-days
Estimated T-Level:25.686
DigitsB1CompleteFacMiss
201100015.1690.000%
25500001.66318.955%
302500000.13787.182%
3510000000.00999.077%


ECM Summary

B1B2factorcurvesGHz-days
50000500000028015.50
250000350000004414.17


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-25ANONYMOUSv4_computers96D29E03F336E2010.068
2015-07-21MadPooManual testing96D29E03F336E2010.068


PRP results:
dateuseridcompidcofactorsres64
2022-12-25LordJuliusWhitebox
2670869000065340758100556929648201407
FD27911FE3AFB8FE


CERT results:
dateuseridcompid
2022-12-25reisfpipsqueak


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1322230140 (P-1 stage 2)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 940000, B2 = 27260000 (P-1 stage 2)
B1 = 940000 (P-1 stage 1)
B1 = 80000, B2 = 1320000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
263
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.69 ~= 69-bit
250
260
270
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290
2100
2110
2120
2130
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Last modified: 2024-03-13T02:15:48+00:00