is 2 3083 - 1
has 929 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
Actual2679,637.988282.0896 %600000000003148064229044334601,025,878.823939.6224 %1,035,516.812089.1861 %
Target2440.000872.7273 %500500000.00000.8739 %0.000872.9656 %
Difference+23+9,637.9874+9.3623 %+59999999500+314806422904383460+1,025,878.8239+38.7485%+1,035,516.8113+16.2205 %

Known prime factors (3 factors, 94.6 bits, 3.06968932% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
308315914447823.9242581
29 × 89
-29893.625e-101.930e-93.530e-9
308368886553826.03811172
22 × 3 × 72 × 19
-49492.900e-92.931e-95.965e-9
3083281259894657371444.6774561464396
22 × 3 × 380122033
-43801220330.00080.00120.0023

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-07-08ViliamF31000000000191000000000
skipped known factor: 15914447
skipped known factor: 68886553
skipped known factor: 28125989465737
--0.67947.268%
2022-03-05mikrNitron60000000000314806422904433460
skipped known factor: 15914447
skipped known factor: 68886553
skipped known factor: 28125989465737
--500,00078.710%


Trial Factoring results:
5758596061626364656667
No TF results for M3083


ECM factoring results:
Total ECM effort:1,393.809 GHz-days
Estimated T-Level:51.710
DigitsB1CompleteFacMiss
201100010,868.0170.000%
25500003,744.4190.000%
302500001,128.3390.000%
351000000280.8430.000%
40300000061.7370.000%
451100000012.0590.001%
50440000002.13011.890%
551100000000.34271.036%
602600000000.05195.022%
658000000000.00799.307%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000003,8339.012
1100000011000000008,39579.48
4300000043000000007,560279.8
44000000440000000050018.94
1100000001100000000010,6321,007


Lucas-Lehmer results:
No L-L results for M3083


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
15914447
68886553
28125989465737
AC25E0BAD781E609
2017-09-21Oliver KruseManual testing
15914447
68886553
28125989465737
AC25E0BAD781E609
2017-10-12kkmrkkblmbrbkManual testing
15914447
68886553
28125989465737
AC25E0BAD781E609
2020-04-17Oliver KruseIOS-1
15914447
68886553
28125989465737
3CDA1F14DEA9760D
2024-02-03Wentao HuangManual testing
15914447
68886553
28125989465737
3CDA1F14DEA9760D


CERT results:
No CERT results for M3083


P-1 factor-bounds graph:
B1 = 60000000000, B2 = 314806422904433460 (P-1 stage 2)
B1 = 60000000000 (P-1 stage 1)
B1 = 1000000000, B2 = 191000000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=51.71 ~= 155-bit
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Last modified: 2024-02-09T03:30:02+00:00