is 2 47419 - 1
has 14275 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
Actual267626.624776.1194 %75000000058844053588320045,842.166330.4666 %46,468.791083.3950 %
Target2440.000063.6364 %500500000.00002.0091 %0.000164.3670 %
Difference+23+626.6247+12.4830 %+749999500+588440535833200+45,842.1663+28.4575%+46,468.7909+19.0281 %

Known prime factors (4 factors, 219.1 bits, 0.46207122% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
474191896761720.85520
22 × 5
-452.946e-125.797e-91.164e-8
4741939440385278571341.84341587112
23 × 7 × 37 × 20071
2008-08-2637200716.178e-61.614e-62.921e-6
47419949393235223387798792066.3641001068385271081
3 × 2237 × 149168288671
2009-04-222237149168288671311.4511.62121.704
4741912798164357597727868377503292890.04813494764079375068926356
22 × 3 × 3457 × 56191087 × 5789182457
2010-06-115619108757891824575.288e+90.52700.8423

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-28kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 1896761
skipped known factor: 3944038527857
---39.396%
2023-05-01JacobZMServer750000000588440535883200
skipped known factor: 1896761
skipped known factor: 3944038527857
skipped known factor: 94939323522338779879
skipped known factor: 1279816435759772786837750329
--55,14070.260%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
41.843
13


ECM factoring results:
Total ECM effort:116.470 GHz-days
Estimated T-Level:34.991
DigitsB1CompleteFacMiss
2011000258.1880.000%
255000051.7170.000%
302500007.9560.035%
3510000000.99836.855%
4030000000.10590.054%
45110000000.00999.060%


ECM Summary

B1B2factorcurvesGHz-days
10.018
10.008
5000050000002530.237
250000250000005843.004
100000010000000074417.63
100000013925746370.307
1000000218700000010.160
1000000218700000010.160
1000000236625753015025.84
100000028419834305010.20
2679924532784678615059.07


Lucas-Lehmer results:
No L-L results for M47419


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseDoppelherz
1896761
3944038527857
94939323522338779879
1279816435759772786837750329
A00FEE638D9893CF
2017-09-21Oliver KruseManual testing
1896761
3944038527857
94939323522338779879
1279816435759772786837750329
A00FEE638D9893CF
2017-11-06kkmrkkblmbrbkc4.xlarge
1896761
3944038527857
94939323522338779879
1279816435759772786837750329
A00FEE638D9893CF
2020-04-17Oliver KruseManual testing
1896761
3944038527857
94939323522338779879
1279816435759772786837750329
B7D1EDF29693C113


CERT results:
No CERT results for M47419


P-1 factor-bounds graph:
B1 = 750000000, B2 = 588440535883200 (P-1 stage 2)
B1 = 750000000 (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
ECM T-Level=34.99 ~= 100-bit
250
260
270
280
290
2100
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00