is 2 36343 - 1
has 10941 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
Actual267817.596776.1194 %200000000040642748002857021,139.421030.6800 %21,957.017783.4460 %
Target2440.000163.6364 %500500000.00001.8601 %0.000164.3128 %
Difference+23+817.5967+12.4830 %+1999999500+406427479978570+21,139.4210+28.8199%+21,957.0177+19.1332 %

Known prime factors (3 factors, 140.7 bits, 0.38719858% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
36343363431618.4715
5
-159.619e-131.163e-91.943e-9
36343339952423928.3414677
3 × 1559
2008-08-26315599.961e-108.379e-81.515e-7
36343185769636693211061901340233132993.908255578291133383405196792
23 × 32 × 137 × 638760547 × 40563256549
2015-09-10638760547405632565496.179e+102.68623.9402

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-28kkmrkkblmbrbkManual testing200000000500000000012
skipped known factor: 363431
skipped known factor: 339952423
---41.526%
2022-04-09nordisweet16_ccx220000000002000000000
skipped known factor: 363431
skipped known factor: 339952423
--2.07036.103%
2022-04-30nordisweet16_30.8b142000000000406427480028570
skipped known factor: 363431
skipped known factor: 339952423
skipped known factor: 18576963669321106190134023313
--31,66569.591%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-11ATHec2-P_11000000001000000000027--0.705


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
28.341
9


ECM factoring results:
Total ECM effort:51.404 GHz-days
Estimated T-Level:35.564
DigitsB1CompleteFacMiss
2011000301.4760.000%
255000057.5660.000%
302500008.7110.016%
3510000001.08233.896%
4030000000.11389.334%
45110000000.01098.996%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002830.177
250000250000005101.895
25000025000000740.276
10000001000000001,32519.72
3000000114863248505029.33


Lucas-Lehmer results:
No L-L results for M36343


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptopE4ED69FBB35CA8__
2017-10-02kkmrkkblmbrbkManual testing
363431
339952423
18576963669321106190134023313
E4ED69FBB35CA8A9
2017-12-07ATHxps
363431
339952423
18576963669321106190134023313
E4ED69FBB35CA8A9
2020-04-17Oliver KruseManual testing
363431
339952423
18576963669321106190134023313
48D828168FE723BF


CERT results:
No CERT results for M36343


P-1 factor-bounds graph:
B1 = 2000000000, B2 = 406427480028570 (P-1 stage 2)
B1 = 2000000000 (P-1 stage 1)
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (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=35.56 ~= 102-bit
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Last modified: 2024-03-13T02:15:48+00:00