is 2 33343 - 1
has 10038 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
Actual267891.159176.1194 %200000000061705638111117032,093.879131.1352 %32,985.038283.5547 %
Target2440.000163.6364 %500500000.00001.8139 %0.000164.2960 %
Difference+23+891.1590+12.4830 %+1999999500+617056381061170+32,093.8791+29.3213%+32,985.0381+19.2587 %

Known prime factors (1 factor, 21.6 bits, 0.06481138% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
333433200929721.61048
24 × 3
-16168.466e-121.527e-83.108e-8

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-16kkmrkkblmbrbkManual testing200000000500000000012
skipped known factor: 3200929
---41.369%
2022-07-23nordisweet16_ccx220000000002000000000
skipped known factor: 3200929
--1.59735.984%
2022-09-05nordisweet16_30.8b142000000000617056381111170
skipped known factor: 3200929
--34,80270.245%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-28ATHec2-P_11000000001000000000027--0.544


Trial Factoring results:
5758596061626364656667
No TF results for M33343


ECM factoring results:
Total ECM effort:473.877 GHz-days
Estimated T-Level:35.906
DigitsB1CompleteFacMiss
2011000367.4760.000%
255000073.2660.000%
3025000011.9330.001%
3510000001.59820.229%
4030000000.18183.434%
45110000000.01898.235%
50440000000.00299.844%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002830.177
250000250000005842.171
10000001000000001,42121.17
3000000114863248505029.33
32991344135108477550101.8
359765111486437462550280.1
3970780201041958285039.12


Lucas-Lehmer results:
No L-L results for M33343


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
3200929
0734CAE53DCD4855
2017-09-21Oliver KruseManual testing
3200929
0734CAE53DCD4855
2017-10-12kkmrkkblmbrbkManual testing
3200929
0734CAE53DCD4855
2020-04-17Oliver KruseManual testing
3200929
C09D2B86C83B7817


CERT results:
No CERT results for M33343


P-1 factor-bounds graph:
B1 = 2000000000, B2 = 617056381111170 (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=35.91 ~= 103-bit
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Last modified: 2024-03-13T02:15:48+00:00