is 2 34381 - 1
has 10350 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
Actual267864.254076.1194 %200000000040578164097471021,105.832030.6079 %21,970.086083.4288 %
Target2440.000163.6364 %500500000.00001.8303 %0.000164.3019 %
Difference+23+864.2540+12.4830 %+1999999500+405781640924710+21,105.8320+28.7777%+21,970.0859+19.1268 %

Known prime factors (4 factors, 238.5 bits, 0.69363680% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3438112308399823.553179
179
-11793.376e-111.021e-81.743e-8
343814096575913931238.5765957616
24 × 3 × 72 × 17 × 149
2008-08-26491491.627e-65.198e-89.519e-8
343811617560255383291528377192477.0982352404315440638039
3 × 7 × 383 × 292478467666373
2010-05-033832924784676663731,209,95115,21128,411
343817549709459069301935868789529033099.25210979479158647657042943471
3 × 906293 × 4038237508417129649
2018-09-2390629340382375084171296495.379e+12210,022,002392,262,613

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-21kkmrkkblmbrbkManual testing200000000500000000012
skipped known factor: 12308399
skipped known factor: 409657591393
---41.425%
2022-06-16nordisweet16_ccx320000000002000000000
skipped known factor: 12308399
skipped known factor: 409657591393
--2.07036.026%
2022-08-02nordisweet16_30.8b142000000000405781640974710
skipped known factor: 12308399
skipped known factor: 409657591393
skipped known factor: 161756025538329152837719
--22,88769.489%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
38.576
12


ECM factoring results:
Total ECM effort:308.604 GHz-days
Estimated T-Level:35.908
DigitsB1CompleteFacMiss
2011000368.5790.000%
255000073.4990.000%
3025000011.9700.001%
3510000001.60320.137%
4030000000.18283.395%
45110000000.01898.231%
50440000000.00299.844%


ECM Summary

B1B2factorcurvesGHz-days
10.001
5000050000002790.174
250000250000005852.174
10000001000000001,42721.26
100000010000000010.015
3000000114863248505029.33
32382394135108477550101.8
3532202257800448745064.23
3532202362591881325089.62


Lucas-Lehmer results:
No L-L results for M34381


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
12308399
409657591393
161756025538329152837719
C3AE77BD68AA6198
2017-10-02kkmrkkblmbrbkManual testing
12308399
409657591393
161756025538329152837719
C3AE77BD68AA6198
2017-12-07ATHxps
12308399
409657591393
161756025538329152837719
C3AE77BD68AA6198
2018-09-24ANONYMOUSdory
12308399
409657591393
161756025538329152837719
754970945906930193586878952903
760CD9C99E705F62
2018-09-25Oliver KruseGTX-0
12308399
409657591393
161756025538329152837719
754970945906930193586878952903
760CD9C99E705F62


CERT results:
No CERT results for M34381


P-1 factor-bounds graph:
B1 = 2000000000, B2 = 405781640974710 (P-1 stage 2)
B1 = 2000000000 (P-1 stage 1)
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
100
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109
1010
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109
1010
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1016
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1019
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