is 2 8147 - 1
has 2453 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
Actual2673,647.222080.5970 %720000000003009708725893369502,417,307.760740.9703 %2,420,954.982788.5465 %
Target2440.000370.4545 %500500000.00001.1864 %0.000370.8051 %
Difference+23+3,647.2217+10.1425 %+71999999500+300970872589286950+2,417,307.7607+39.7839%+2,420,954.9824+17.7414 %

Known prime factors (1 factor, 80.8 bits, 0.99170030% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
814720958699939769400823051372580.794128628329076773050344
23 × 3 × 29 × 192817 × 958477819067
-19281795847781906731,383,1917.698214.378

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-12-16Lisander ViaeneDesktop100000000100000000--0.01526.210%
2023-06-04JacobZGreatLakes72000000000300970872589336950
skipped known factor: 2095869993976940082305137
--7,608,58080.178%


Trial Factoring results:
5758596061626364656667
No TF results for M8147


ECM factoring results:
Total ECM effort:668.481 GHz-days
Estimated T-Level:43.227
DigitsB1CompleteFacMiss
20110001,983.8000.000%
2550000549.1200.000%
30250000137.2530.000%
35100000026.9140.000%
4030000004.4581.159%
45110000000.64552.442%
50440000000.08392.074%
551100000000.01099.050%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000003,91924.94
11000000365788846622,400643.5


Lucas-Lehmer results:
No L-L results for M8147


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
2095869993976940082305137
AD48BDD006ACE582
2017-09-21Oliver KruseManual testing
2095869993976940082305137
AD48BDD006ACE582
2017-10-12kkmrkkblmbrbkManual testing
2095869993976940082305137
AD48BDD006ACE582
2020-04-17Oliver KruseManual testing
2095869993976940082305137
8F82630E65C59E1F


CERT results:
No CERT results for M8147


P-1 factor-bounds graph:
B1 = 72000000000, B2 = 300970872589336950 (P-1 stage 2)
B1 = 72000000000 (P-1 stage 1)
B1 = 100000000 (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=43.23 ~= 127-bit
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Last modified: 2024-03-13T02:15:48+00:00