is 2 47279 - 1
has 14233 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
Actual267628.480276.1194 %75000000058844053588320045,842.166330.4628 %46,470.646583.3941 %
Target2440.000063.6364 %500500000.00002.0074 %0.000164.3663 %
Difference+23+628.4802+12.4830 %+749999500+588440535833200+45,842.1663+28.4554%+46,470.6465+19.0278 %

Known prime factors (6 factors, 304.1 bits, 0.64320657% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4727994559516.5291
1
-111.847e-131.430e-92.910e-9
4727928897870391031.42830561
3 × 61 × 167
2008-08-26611676.051e-99.548e-81.775e-7
472791385637802731237.0121465384
23 × 113 × 1621
2008-08-2611316213.873e-72.791e-73.288e-7
472791181646520637291546.7481249652616
23 × 3 × 337 × 367 × 421
2008-08-263674210.00025.290e-71.068e-6
472791489658927386925291857.0481575391746216
23 × 3 × 193 × 9570101
2009-04-22685995701010.40610.00080.0014
472795247115355145729151143739079134201735115.337554909722619527607515359787552
25 × 89 × 5987 × 332251 × 97950530919507977
2016-12-12332251979505309195079772.715e+127,630,61814,251,870

57 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2008-08-26ANONYMOUSManual testing1546.748-0.000%
2016-09-28kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 94559
skipped known factor: 2889787039
skipped known factor: 138563780273
skipped known factor: 118164652063729
skipped known factor: 148965892738692529
---39.390%
2021-04-13Seth_TrManual testing40000000076400000000
skipped known factor: 94559
skipped known factor: 2889787039
skipped known factor: 138563780273
skipped known factor: 118164652063729
skipped known factor: 148965892738692529
---49.845%
2023-05-12JacobZMServer750000000588440535883200
skipped known factor: 94559
skipped known factor: 2889787039
skipped known factor: 138563780273
skipped known factor: 118164652063729
skipped known factor: 148965892738692529
--55,14070.254%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??31.42810
2008-08-26ANONYMOUSManual testing??37.01212


ECM factoring results:
Total ECM effort:124.666 GHz-days
Estimated T-Level:34.997
DigitsB1CompleteFacMiss
2011000259.5600.000%
255000051.8720.000%
302500007.9700.035%
3510000000.99936.811%
4030000000.10590.045%
45110000000.00999.060%


ECM Summary

B1B2factorcurvesGHz-days
10.001
5000050000002800.262
250000250000004272.196
250000250000001570.808
100000010000000075317.65
1000000281200000010.202
1000000281200000010.202
1000000284198343020040.82
2697764568910809515062.73


Lucas-Lehmer results:
No L-L results for M47279


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
94559
2889787039
138563780273
118164652063729
148965892738692529
52471153551457291511437390791342017
53CAF78E31B7E5EA
2017-09-21Oliver KruseManual testing
94559
2889787039
138563780273
118164652063729
148965892738692529
52471153551457291511437390791342017
53CAF78E31B7E5EA
2017-11-06kkmrkkblmbrbkc4.xlarge
94559
2889787039
138563780273
118164652063729
148965892738692529
52471153551457291511437390791342017
53CAF78E31B7E5EA
2020-04-17Oliver KruseManual testing
94559
2889787039
138563780273
118164652063729
148965892738692529
52471153551457291511437390791342017
34753CF8CD9062CD
2022-05-12Jorge CoveiroManual testing
94559
34753CF8CD9062CD


CERT results:
No CERT results for M47279


P-1 factor-bounds graph:
B1 = 750000000, B2 = 588440535883200 (P-1 stage 2)
B1 = 400000000, B2 = 76400000000 (P-1 stage 2)
B1 = 750000000 (P-1 stage 1)
B1 = 400000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=35 ~= 100-bit
250
260
270
280
290
2100
2110
2120
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00