is 2 3356318939 - 1
has 1010352676 decimal digits
takes 710,692.766 GHz-days to do one PRP test
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
Actual29074,707.899764.4444 %----74,707.899764.4444 %
Target291149,415.799464.8352 %17000000500000000088,575.53894.3040 %237,991.338466.3487 %
Difference-1-74,707.8997-0.3907 %-17000000-5000000000-88,575.5389-4.3040 %-163,283.4387-1.9042 %

Known prime factors (11 factors, 613.0 bits, 0.00001826% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
335631893967126378791032.6441
1
2012-08-20111.709e-130.00030.0006
3356318939604137409031135.8149
32
2012-08-20991.393e-120.00280.0056
33563189393826203590471238.47757
3 × 19
2014-08-263191.239e-110.00120.0019
3356318939124116674364231443.4971849
432
2014-08-26184918494.896e-100.56771.1554
3356318939160566298041771443.8682392
23 × 13 × 23
2014-08-2613235.919e-100.00420.0081
33563189393493592383605111548.31252045
5 × 7 × 1487
2014-08-26714872.141e-80.02690.0464
335631893933639183767554247031961.545501132109
439 × 1141531
2014-08-2643911415310.000219.22335.665
335631893942895583556082285511961.896639027225
34 × 52 × 315569
2014-08-26813155690.00015.30249.859
33563189399562134445918145410776892479.662142449728701396
22 × 1201 × 29652316549
2014-10-1912012965231654958.713496,026926,438
335631893975924400933370541358033692582.6511131066539164956
22 × 3 × 29 × 47 × 53 × 4177 × 312371
2021-09-194177312371400.226.43809.760
3356318939303921081074227867947266892684.6524527595359646896
24 × 3 × 31 × 12923 × 235451429
2021-12-15129232354514291,434.13,942.47,356.3

2,036 Composite Factors:
P-1 results:
No P-1 results for M3356318939


Trial Factoring results:
5758596061626364656667686970717273747576777879808182838485868788899091
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2022-03-31slaursekunda-rtx20602642680.017
2021-01-10ramgeisr4mg31s21269
32.644
10
0.036
2021-01-10ramgeisr4mg31s21269
35.814
11
0.036
2021-01-10ramgeisr4mg31s21269
38.477
12
0.036
2021-01-10ramgeisr4mg31s21269
43.497
14
0.036
2021-01-10ramgeisr4mg31s21269
43.868
14
0.036
2021-01-10ramgeisr4mg31s21269
48.312
15
0.036
2021-01-10ramgeisr4mg31s21269
61.545
19
0.036
2021-01-10ramgeisr4mg31s21269
61.896
19
0.036
2021-01-10ramgeisr4mg31s21269
32.644
35.814
10
11
0.036
2021-08-31Seth_Tr108021272
32.644
10
0.285
2021-08-31Seth_Tr108021272
35.814
11
0.285
2021-08-31Seth_Tr108021272
38.477
12
0.285
2021-08-31Seth_Tr108021272
43.497
14
0.285
2021-08-31Seth_Tr108021272
43.868
14
0.285
2021-08-31Seth_Tr108021272
48.312
15
0.285
2021-08-31Seth_Tr108021272
61.545
19
0.285
2021-08-31Seth_Tr108021272
61.896
19
0.285
2022-07-30LordJuliusWhiteBox21272
32.644
10
0.285
2022-07-30LordJuliusWhiteBox21272
35.814
11
0.285
2022-07-30LordJuliusWhiteBox21272
38.477
12
0.285
2022-07-30LordJuliusWhiteBox21272
43.497
14
0.285
2022-07-30LordJuliusWhiteBox21272
43.868
14
0.285
2022-07-30LordJuliusWhiteBox21272
48.312
15
0.285
2022-07-30LordJuliusWhiteBox21272
61.545
19
0.285
2022-07-30LordJuliusWhiteBox21272
61.896
19
0.285
2022-07-30LordJuliusWhiteBox21272
32.644
35.814
10
11
0.285
2022-07-30LordJuliusWhiteBox21272
32.644
38.477
10
12
0.285
2021-08-27Seth_Tr10802722730.285
2021-12-19ramgeisr4mg31s2722730.285
2021-12-22LordJuliusWhiteBox2722730.285
2022-01-10ramgeisr4mg31s2722730.285
2022-07-30LordJuliusWhiteBox2722730.285
2021-08-27Seth_Tr10802732740.570
2021-12-19ramgeisr4mg31s2732740.570
2021-12-22LordJuliusWhiteBox2732740.570
2022-01-10ramgeisr4mg31s2732740.570
2022-07-30LordJuliusWhiteBox2732740.570
2014-08-26274275*
35.814
11
2014-08-26274275*
38.477
12
2022-07-30LordJuliusWhiteBox274275
35.814
38.477
11
12
1.140
2014-08-26275276
2022-07-30LordJuliusWhiteBox2752762.280
2014-08-26276277*
32.644
10
2014-08-26276277*
43.497
14
2014-08-26276277*
43.868
14
2022-07-30LordJuliusWhiteBox276277
32.644
43.497
10
14
4.560
2022-07-30LordJuliusWhiteBox276277
32.644
43.868
10
14
4.560
2014-10-18277278
2022-07-30LordJuliusWhiteBox2772789.120
2014-10-18278279
2022-07-30LordJuliusWhiteBox27827918.24
2014-10-19279280
skipped known factors(?)
2014-10-19279280*
35.814
11
2014-10-19279280*
43.497
14
2014-10-19279280*
43.868
14
2014-10-19279280*
79.662
24
2022-07-30LordJuliusWhiteBox279280
35.814
43.497
11
14
36.48
2022-07-30LordJuliusWhiteBox279280
35.814
43.868
11
14
36.48
2022-07-30LordJuliusWhiteBox279280
79.662
24
36.48
2021-09-16Seth_Tr108028028172.96
2021-09-16Seth_Tr1080281282145.9
2021-09-19Seth_Tr1080282283
82.651
25
291.8
2021-12-15ramgeisr4mg31s283284583.7
2021-12-15ramgeisr4mg31s284285
35.814
48.312
11
15
1,167
2021-12-15ramgeisr4mg31s284285
84.652
26
1,167
2021-12-17ramgeisr4mg31s2852862,335
2021-12-17ramgeisr4mg31s286287
38.477
48.312
12
15
4,669
2021-12-19ramgeisr4mg31s287288
43.497
43.868
14
14
9,338
2022-01-17ramgeisr4mg31s28828918,677
2022-03-06ramgeisr4mg31s28929037,354


ECM factoring results:
No ECM results for M3356318939


Lucas-Lehmer results:
No L-L results for M3356318939


PRP results:
No PRP results for M3356318939


CERT results:
No CERT results for M3356318939


P-1 factor-bounds graph:
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
290
289
288
287
286
285
284
283
282
281
280
279
278
277
276
275
274
273
272
269
268
this exponent TF target: 91
250
260
270
280
290
2100
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00