is 2 29167 - 1
has 8781 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
Actual2671,018.751277.6119 %300000000092558456681691040,279.849331.9162 %41,298.600684.7574 %
Target2440.000165.9091 %500500000.00001.7441 %0.000166.5037 %
Difference+23+1,018.7512+11.7028 %+2999999500+925584566766910+40,279.8493+30.1721%+41,298.6005+18.2537 %

Known prime factors (2 factors, 112.7 bits, 0.38637396% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29167334154068871134.960572829
3 × 79 × 2417
-7924171.561e-71.648e-71.966e-7
291672513248980920919980129032477.7344308377585834881853
7 × 29 × 673 × 3539 × 8910910733
2009-10-14353989109107331,238,6240.38780.7242

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-01-03kkmrkkblmbrbkManual testing5000000001000000000012
skipped known factor: 33415406887
skipped known factor: 251324898092091998012903
---42.873%
2022-12-29nordisweet16_30.9b330000000003000000000
skipped known factor: 33415406887
--2.39636.711%
2023-02-10nordisweet16_30.8b143000000000925584566816910
skipped known factor: 33415406887
skipped known factor: 251324898092091998012903
--52,20370.947%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-09ATHcolab-Pp11000000001000000000027--0.544


Trial Factoring results:
5758596061626364656667
No TF results for M29167


ECM factoring results:
Total ECM effort:36.794 GHz-days
Estimated T-Level:35.642
DigitsB1CompleteFacMiss
2011000171.3960.000%
255000038.1830.000%
302500006.8430.107%
3510000001.01936.099%
4030000000.12887.952%
45110000000.01498.590%
50440000000.00199.864%


ECM Summary

B1B2factorcurvesGHz-days
10.018
500005000000950.050
250000250000006151.759
1000000100000000110.126
300000030000000050017.24
3000000114863248503017.60


Lucas-Lehmer results:
No L-L results for M29167


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
33415406887
251324898092091998012903
CC1AD09ABE7858EA
2017-09-21Oliver KruseManual testing
33415406887
251324898092091998012903
CC1AD09ABE7858EA
2017-10-12kkmrkkblmbrbkManual testing
33415406887
251324898092091998012903
CC1AD09ABE7858EA
2020-04-17Oliver KruseManual testing
33415406887
251324898092091998012903
4C3854DC8F18B0C8


CERT results:
No CERT results for M29167


P-1 factor-bounds graph:
B1 = 3000000000, B2 = 925584566816910 (P-1 stage 2)
B1 = 3000000000 (P-1 stage 1)
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 500000000 (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=35.64 ~= 102-bit
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Last modified: 2024-03-13T02:15:48+00:00