is 2 15929621 - 1
has 4795294 decimal digits
takes 8.710 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L7E547FF35DB0CDFDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2697.494665.2174 %800000020510448420892.000316.6827 %899.494971.0201 %
Target2697.494665.2174 %110000140000000.68723.1231 %8.181966.3037 %
Difference---+7890000+20496448420+891.3131+13.5596%+891.3131+4.7164 %

Known prime factors (2 factors, 180.0 bits, 0.00113004% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1592962110888564441283088306316972579.84934177098253885288
23 × 13 × 251 × 661 × 1980736327
2024-02-03661198073632713,72185.564159.81
15929621141906296533759658208612634036931100.16344541642432597629977704
23 × 3 × 337 × 615767 × 1043183 × 8573303
2020-12-28104318385733031.038e+101.15241.6833

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-06-29ANONYMOUSv4_computers1800002340000--0.2363.242%
2020-12-28ThaZ-17015000003000000012231100.1632.4206.809%
2023-08-30nordisweet16_30.8b14480000480000--0.3962.144%
2023-10-28nordisweet16_30.8b14480000252748650--12.558.281%
2024-02-03riccardo ubertiXeon20C80000002051044842022579.849992.416.683%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-01-28Net_Forcev4_computers212580.002
2001-03-18Net_Forcev4_computers212590.002
2001-05-06ANONYMOUSv4_computers212650.235
2016-03-16Mark RoseManual testing265266
2014-07-29NesowaManual testing2662670.938
2018-03-12ramgeisManual testing2672695.629


ECM factoring results:
Total ECM effort:0.866 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.866


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-07-27ANONYMOUSv4_computers7E547FF35DB0CDFD8.710
2006-12-18Houndv4_computers7E547FF35DB0CDFD8.710


PRP results:
dateuseridcompidcofactorsres64
2023-11-28Ryan Propperboulder
1419062965337596582086126340369
1ED3328ECA5111AD
2024-02-03riccardo ubertiTuareg8C
1088856444128308830631697
1419062965337596582086126340369
1ED3328ECA5111AD


CERT results:
dateuseridcompid
2023-11-28riccardo ubertiXeon12C
2024-02-03Kimon Berlinryzen


P-1 factor-bounds graph:
B1 = 8000000, B2 = 20510448420 (P-1 stage 2)
B1 = 480000, B2 = 252748650 (P-1 stage 2)
B1 = 8000000 (P-1 stage 1)
B1 = 1500000, B2 = 30000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 480000 (P-1 stage 1)
B1 = 180000, B2 = 2340000 (P-1 stage 2)
B1 = 180000 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
269
267
266
265
259
258
this exponent TF target: 69
TF double-checked to: 67
ECM T-Level=0.19 ~= -16-bit
250
260
270
280
290
2100
2110
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Last modified: 2024-03-13T02:15:48+00:00