is 2 46649 - 1
has 14043 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
Actualunknown76000000053727178930425041,855.992370.0699%41,855.992370.0699%
Target2440.000163.6364%500500000.00001.9997%0.000164.3635%
Difference-44-0.0001-63.6364%+759999500+537271789254250+41,855.9923+68.0703%+41,855.9922+5.7064%

Known prime factors (1 factor, 31.1 bits, 0.06668379% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4664923133239111031.10724795
32 × 5 × 19 × 29
-19298.383e-92.795e-85.529e-8

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-26kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 2313323911
--0.291--39.366%
2023-04-29JacobZMServer760000000537271789304250-
skipped known factor: 2313323911
--41,856--70.070%


Trial Factoring results:
No TF results for M46649


ECM factoring results:
Total ECM effort:141.785 GHz-days
Estimated T-Level:35.537
DigitsB1CompleteFacMiss
2011000269.1560.000%
255000053.5110.000%
302500008.1950.028%
3510000001.02535.868%
4030000000.10789.821%
45110000000.01099.040%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.289
250000250000005853.009
100000010000000077115.86
10000001460000001002.365
1000000413508595515043.59
2755948706476142615076.66


Lucas-Lehmer results:
No L-L results for M46649


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC
2313323911
2A20BEB08C416B__no
2017-09-21Oliver KruseManual testing
2313323911
2A20BEB08C416B__no
2017-09-21Oliver KruseManual testing
2313323911
2A20BEB08C416B__no
2017-11-06kkmrkkblmbrbkc4.xlarge
2313323911
2A20BEB08C416B__no
2020-04-17Oliver KruseManual testing
2313323911
73BB09102F159D__no


P-1 factor-bounds graph:
B1 = 760000000, B2 = 537271789304250 (P-1 stage 2)
B1 = 760000000 (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:
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=35.54 ~= 101-bit
250
260
270
280
290
2100
2110
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Last modified: 2023-12-03T02:37:14+00:00