is 2 51479 - 1
has 15497 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
Actual267577.204676.1194%68000000084490380635661065,821.272830.9249%66,398.477483.5045%
Target2440.000063.6364%500500000.00002.0571%0.000164.3844%
Difference+23+577.2046+12.4830%+679999500+844903806306610+65,821.2728+28.8678%+66,398.4774+19.1201%

Known prime factors (2 factors, 104.6 bits, 0.20328085% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5147952236185202387431652.21450735431149
3 × 13 × 1300908491
2008-08-261313009084910.01230.10130.1893
5147960799420432187111652.43359052643245
33 × 5 × 19 × 372 × 67 × 251
2014-04-23136913690.01651.957e-63.984e-6

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-19kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 5223618520238743
skipped known factor: 6079942043218711
--0.291--11.159%
2023-04-11JacobZGreatLakes680000000844903806356610-
skipped known factor: 5223618520238743
skipped known factor: 6079942043218711
--65,821--30.925%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-26ATHcolab-Pp110000000100000000027--0.097


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??52.214160.0010.0000.001


ECM factoring results:
Total ECM effort:137.243 GHz-days
Estimated T-Level:34.066
DigitsB1CompleteFacMiss
2011000237.7030.000%
255000044.6140.000%
302500006.6980.123%
3510000000.81344.348%
4030000000.08292.129%
45110000000.00799.303%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002830.291
250000250000006033.102
100000010000000073215.06
206244611404851375150118.8


Lucas-Lehmer results:
No L-L results for M51479


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseDoppelherz
5223618520238743
6079942043218711
3AD2ABF9224F91__no
2017-09-21Oliver KruseManual testing
5223618520238743
6079942043218711
3AD2ABF9224F91__no
2017-10-13kkmrkkblmbrbkManual testing
5223618520238743
6079942043218711
3AD2ABF9224F91__no
2020-04-17Oliver KruseAddPrpType5
5223618520238743
6079942043218711
82811CA5B719FF__no


P-1 factor-bounds graph:
B1 = 680000000, B2 = 844903806356610 (P-1 stage 2)
B1 = 680000000 (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
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=34.07 ~= 97-bit
250
260
270
280
290
2100
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Last modified: 2023-12-02T12:36:38+00:00