is 2 4016119 - 1
has 1208973 decimal digits
takes 0.501 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
Actual2677.398767.1642 %2700001414862401.44027.2765 %8.838969.5535 %
Target2651.816666.1538 %2200018000000.02151.7504 %1.838166.7463 %
Difference+2+5.5821+1.0103 %+248000+139686240+1.4187+5.5261%+7.0008+2.8072 %

Known prime factors (3 factors, 129.6 bits, 0.00322781% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4016119232934903927.79529
29
-1294.480e-124.567e-74.567e-7
401611987471071831033.0261089
32 × 112
2008-09-071211213.521e-102.188e-54.453e-5
40161195178537211294369800472168.81164471909464017
11 × 19 × 467 × 6779 × 97441
2022-08-1367799744121.4690.00210.0025

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-08-13USAFSSUSAFSACS18000018000012168.8110.0291.825%
2022-08-14USAFSS6917th_Scty_Sq270000141486240
skipped known factor: 232934903
skipped known factor: 8747107183
skipped known factor: 517853721129436980047
--1.4408.738%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-07Will EdgingtonManual testing??
33.026
10


ECM factoring results:
Total ECM effort:0.476 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.476


Lucas-Lehmer results:
No L-L results for M4016119


PRP results:
dateuseridcompidcofactorsres64
2017-11-13Oliver KruseGTX-0
232934903
8747107183
05552A7EC92BBB3D
2017-12-20kkmrkkblmbrbkold
232934903
8747107183
05552A7EC92BBB3D
2022-08-13Cong ShengzhuoThis_Laptop_v308b15
232934903
8747107183
517853721129436980047
05552A7EC92BBB3D
2022-08-13LordJuliusWhitebox
232934903
8747107183
517853721129436980047
05552A7EC92BBB3D


CERT results:
dateuseridcompid
2022-08-13bonnenbergerrenouveau
2022-08-13Evans PaschalEvsDesktop


P-1 factor-bounds graph:
B1 = 270000, B2 = 141486240 (P-1 stage 2)
B1 = 270000 (P-1 stage 1)
B1 = 180000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00