is 2 4094999 - 1
has 1232718 decimal digits
takes 0.511 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
Actual2677.256167.1642 %2000001352336701.36676.9170 %8.622869.4354 %
Target2651.781666.1538 %2200020000000.02351.8082 %1.805166.7658 %
Difference+2+5.4745+1.0103 %+178000+133233670+1.3432+5.1088%+6.8177+2.6696 %

Known prime factors (5 factors, 266.0 bits, 0.00649579% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
40949998189999722.9651
1
-111.365e-131.808e-73.681e-7
4094999683782933031135.9938349
3 × 112 × 23
2008-09-071211212.020e-92.188e-54.453e-5
409499910365670968711339.915126565
5 × 17 × 1489
2008-09-071714892.495e-81.758e-52.732e-5
409499959302310046740622526812272.329724082106573660
22 × 3 × 5 × 29 × 347 × 463 × 2590169
2022-10-154632590169373.080.02560.0477
4094999345045589910099770345707665932994.8014213011894631717496704
27 × 7 × 11 × 211 × 11069 × 92461 × 1979441
2022-10-159246119794411.502e+90.03530.0364

26 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-10-15USAFSSUSAFSACS200000135233670251167.1291.4438.351%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-07Will EdgingtonManual testing??
35.993
11
2008-09-07Will EdgingtonManual testing??
39.915
13


ECM factoring results:
Total ECM effort:0.543 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.543


Lucas-Lehmer results:
No L-L results for M4094999


PRP results:
dateuseridcompidcofactorsres64
2017-11-14Oliver KruseGTX-3
8189999
68378293303
1036567096871
3130221B839C2160
2017-12-23kkmrkkblmbrbkold
8189999
68378293303
1036567096871
3130221B839C2160
2022-10-20ATHec2-PRPCF
8189999
68378293303
1036567096871
34504558991009977034570766593
5930231004674062252681
3130221B839C2160


CERT results:
dateuseridcompid
2022-10-20daveward2005Davy


P-1 factor-bounds graph:
B1 = 200000, B2 = 135233670 (P-1 stage 2)
B1 = 200000 (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
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00