is 2 8263 - 1
has 2488 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
Actual2673,596.020579.1045 %710000000002654226487924011002,131,796.137240.8120 %2,135,392.157787.6324 %
Target2440.000368.1818 %500500000.00001.1916 %0.000368.5610 %
Difference+23+3,596.0202+10.9227 %+70999999500+265422648792351100+2,131,796.1372+39.6204%+2,135,392.1575+19.0714 %

Known prime factors (1 factor, 67.1 bits, 0.81264402% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
82631636046642593177082572167.1499899834458387856
24 × 47581 × 13003922861
-47581130039228614,908.30.10440.1951

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-12-16Lisander ViaeneDesktop100000000100000000--0.01526.232%
2023-08-30JacobZGreatLakes71000000000265422648792401100
skipped known factor: 163604664259317708257
--6,709,92079.982%


Trial Factoring results:
5758596061626364656667
No TF results for M8263


ECM factoring results:
Total ECM effort:3,242.649 GHz-days
Estimated T-Level:46.875
DigitsB1CompleteFacMiss
20110006,783.8000.000%
25500001,920.5490.000%
30250000521.2530.000%
351000000108.2700.000%
40300000018.8510.000%
45110000002.8395.850%
50440000000.37568.729%
551100000000.04495.651%
602600000000.00599.534%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000003,91924.94
110000003657888466212,0003,218


Lucas-Lehmer results:
No L-L results for M8263


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
163604664259317708257
F12B86BF6B06571F
2017-09-21Oliver KruseManual testing
163604664259317708257
F12B86BF6B06571F
2017-10-12kkmrkkblmbrbkManual testing
163604664259317708257
F12B86BF6B06571F
2020-04-17Oliver KruseManual testing
163604664259317708257
E448390EA45F5096


CERT results:
No CERT results for M8263


P-1 factor-bounds graph:
B1 = 71000000000, B2 = 265422648792401100 (P-1 stage 2)
B1 = 71000000000 (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=46.87 ~= 139-bit
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Last modified: 2024-03-13T02:15:48+00:00