is 2 47843 - 1
has 14403 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267621.071476.1194 %74000000060123271678470046,838.699230.4905 %47,459.770583.4007 %
Target2440.000063.6364 %500500000.00002.0143 %0.000164.3688 %
Difference+23+621.0713+12.4830 %+739999500+601232716734700+46,838.6992+28.4763%+47,459.7705+19.0319 %

Known prime factors (2 factors, 65.2 bits, 0.13632448% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
47843271078439928.0142833
2833
-128337.475e-102.221e-74.127e-7
478431587083399831237.2081658637
34 × 20477
2008-08-2681204773.827e-71.705e-62.980e-6

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-28kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 271078439
skipped known factor: 158708339983
---39.412%
2023-05-03JacobZMServer740000000601232716784700
skipped known factor: 271078439
skipped known factor: 158708339983
--56,33870.307%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
37.208
12


ECM factoring results:
Total ECM effort:87.640 GHz-days
Estimated T-Level:34.239
DigitsB1CompleteFacMiss
2011000242.9320.000%
255000046.7480.000%
302500006.9050.100%
3510000000.84842.838%
4030000000.08791.662%
45110000000.00899.234%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.263
250000250000005843.004
100000010000000072917.21
10000001370000001503.458
1000000147000000140.627
1000000171800000010.129
1000000171800000010.129
2295988579427248315062.95


Lucas-Lehmer results:
No L-L results for M47843


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
271078439
158708339983
BC2FB0CAB4DDD625
2017-09-21Oliver KruseManual testing
271078439
158708339983
BC2FB0CAB4DDD625
2017-10-13kkmrkkblmbrbkManual testing
271078439
158708339983
BC2FB0CAB4DDD625
2020-04-17Oliver KruseManual testing
271078439
158708339983
BCAC03E89C0CEF3C


CERT results:
No CERT results for M47843


P-1 factor-bounds graph:
B1 = 740000000, B2 = 601232716784700 (P-1 stage 2)
B1 = 740000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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109
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109
1010
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1015
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=34.24 ~= 97-bit
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Last modified: 2024-03-03T02:29:32+00:00