is 2 14779 - 1
has 4449 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
Actual2672,010.549979.1045%250000000427500000000.886614.9695%2,011.436582.2324%
Target2440.000268.1818%500100000.00001.4237%0.000268.6348%
Difference+23+2,010.5498+10.9227%+249999500+42749990000+0.8866+13.5458%+2,011.4364+13.5976%

Known prime factors (5 factors, 264.4 bits, 1.78901904% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14779266023618.0219
32
-992.368e-123.110e-96.330e-9
14779104715717771133.286354272
25 × 11071
2008-08-2632110711.303e-72.189e-73.895e-7
14779204229367078688171754.181690944472152
23 × 11 × 47 × 277 × 603091
2008-08-262776030910.25211.145e-52.121e-5
147797872678421593278167692169.41526634679009382496
25 × 3 × 13 × 47 × 454082770891
2008-08-294745408277089115,1818.549615.968
147798727607666526568923636208732789.49629527057536120742011084
22 × 33 × 11 × 107 × 22741 × 10214341972589
2009-06-1022741102143419725891.382e+10192.32359.20

26 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-02ViliamF325000000042750000000-
skipped known factor: 266023
skipped known factor: 10471571777
skipped known factor: 20422936707868817
--0.887--14.970%
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 266023
skipped known factor: 10471571777
skipped known factor: 20422936707868817
--0.138--7.874%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??33.286115.28266e-80.0002.48688e-6
2008-08-26ANONYMOUSManual testing??54.181170.0907.39632e-60.188


ECM factoring results:
Total ECM effort:22.955 GHz-days
Estimated T-Level:36.606
DigitsB1CompleteFacMiss
2011000494.6430.000%
2550000109.1210.000%
3025000018.9240.000%
3510000002.6936.766%
4030000000.32172.529%
45110000000.03396.714%
50440000000.00399.696%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
500005000000850.021
250000250000005510.685
50000050000000100.025
10000001000000001,4217.066
30000003000000001,01615.16


Lucas-Lehmer results:
No L-L results for M14779


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC
266023
10471571777
20422936707868817
787267842159327816769
872760766652656892363620873
88B05FEF6B7F4951no
2017-09-21Oliver KruseManual testing
266023
10471571777
20422936707868817
787267842159327816769
872760766652656892363620873
88B05FEF6B7F4951no
2017-10-02kkmrkkblmbrbkManual testing
266023
10471571777
20422936707868817
787267842159327816769
872760766652656892363620873
88B05FEF6B7F49__no
2017-12-07ATHManual testing
266023
10471571777
20422936707868817
787267842159327816769
872760766652656892363620873
88B05FEF6B7F49__no
2020-04-17Oliver KruseManual testing
266023
10471571777
20422936707868817
787267842159327816769
872760766652656892363620873
61AC6DDF5F9A2D__no


P-1 factor-bounds graph:
B1 = 250000000, B2 = 42750000000 (P-1 stage 2)
B1 = 400000000 (P-1 stage 1)
B1 = 250000000 (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
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=36.61 ~= 105-bit
250
260
270
280
290
2100
2110
Last modified: 2023-03-25T13:08:14+00:00