is 2 46643 - 1
has 14041 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
Actualunknown76000000053727178930425041,855.992370.0697%41,855.992370.0697%
Target2440.000163.6364%500500000.00001.9996%0.000164.3635%
Difference-44-0.0001-63.6364%+759999500+537271789254250+41,855.9923+68.0701%+41,855.9922+5.7062%

Known prime factors (4 factors, 292.2 bits, 0.62647617% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4664393287516.5091
1
-111.872e-131.430e-92.910e-9
46643370019176403295787672065.004396650275929181
241 × 1645851767341
2008-08-292411645851767341302.10128.22239.47
4664389353425386298125470725292582.88695784389282741381848
23 × 71 × 59765947 × 2821581463
2016-11-2959765947282158146339,943,9810.30060.4105
4664329785118549739123391410963414970175488939127.8083192881949031915120319336600880108
22 × 3 × 13 × 19 × 937 × 608429 × 132438079 × 14267316406141
2023-04-29132438079142673164061413.642e+121,111.62,075.9

11 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-26kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 93287
--0.291--39.365%
2016-11-29kkmrkkblmbrbkManual testing10000000030420147617582582.886237.19.19904e-5474.258.272%
2023-04-29JacobZMServer76000000053727178930425039127.80841,8569.19904e-583,71270.070%


Trial Factoring results:
No TF results for M46643


ECM factoring results:
Total ECM effort:21.878 GHz-days
Estimated T-Level:33.298
DigitsB1CompleteFacMiss
2011000214.4900.000%
255000039.3390.000%
302500005.6280.360%
3510000000.66051.706%
4030000000.06493.755%
45110000000.00599.468%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002810.289
250000250000005853.009
100000010000000090318.58


Lucas-Lehmer results:
No L-L results for M46643


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseDoppelherz
93287
37001917640329578767
8935342538629812547072529
DB5E1D66601B3C54no
2017-09-21Oliver KruseManual testing
93287
37001917640329578767
8935342538629812547072529
DB5E1D66601B3C54no
2017-09-21Oliver KruseManual testing
93287
37001917640329578767
8935342538629812547072529
DB5E1D66601B3C54no
2017-11-06kkmrkkblmbrbkc4.xlarge
93287
37001917640329578767
8935342538629812547072529
DB5E1D66601B3C__no
2020-04-17Oliver KruseManual testing
93287
37001917640329578767
8935342538629812547072529
4EFE31A8DB3068__no
2022-05-12Jorge CoveiroManual testing
93287
4EFE31A8DB3068A8no
2023-04-29JacobZMServer
93287
37001917640329578767
8935342538629812547072529
297851185497391233914109634149701754889
4EFE31A8DB3068A8no


P-1 factor-bounds graph:
B1 = 760000000, B2 = 537271789304250 (P-1 stage 2)
B1 = 100000000, B2 = 3042014761758 (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=33.3 ~= 94-bit
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2023-09-25T11:53:03+00:00