is 2 34847 - 1
has 10490 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
Actual267852.696676.1194 %200000000040837035397158021,240.466630.6335 %22,093.163283.4349 %
Target2440.000163.6364 %500500000.00001.8375 %0.000164.3045 %
Difference+23+852.6965+12.4830 %+1999999500+408370353921580+21,240.4666+28.7960%+22,093.1631+19.1303 %

Known prime factors (2 factors, 81.9 bits, 0.23488617% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
348472210055979911237.6853171085
5 × 37 × 61 × 281
-612817.262e-76.967e-81.185e-7
34847197304670898631444.165283101373
73 × 3878101
1999-08-317338781019.103e-50.00020.0004

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-21kkmrkkblmbrbkManual testing200000000500000000012
skipped known factor: 221005597991
skipped known factor: 19730467089863
---41.449%
2022-06-15nordisweet16_ccx320000000002000000000
skipped known factor: 221005597991
skipped known factor: 19730467089863
--2.07036.045%
2022-08-07nordisweet16_30.8b142000000000408370353971580
skipped known factor: 221005597991
skipped known factor: 19730467089863
--31,81669.525%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-08-31ANONYMOUSv4_computers??
44.165
14
2008-08-26ANONYMOUSManual testing??
44.165
14


ECM factoring results:
Total ECM effort:332.789 GHz-days
Estimated T-Level:35.700
DigitsB1CompleteFacMiss
2011000334.6560.000%
255000065.0390.000%
3025000010.1310.004%
3510000001.29727.334%
4030000000.14086.939%
45110000000.01398.705%
50440000000.00199.892%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.176
250000250000005852.174
10000001000000001,42421.21
3000000114863248505029.33
323561611486437462550279.9


Lucas-Lehmer results:
No L-L results for M34847


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
221005597991
19730467089863
8C690DA12FA3CDF7
2017-09-21Oliver KruseManual testing
221005597991
19730467089863
8C690DA12FA3CDF7
2017-10-12kkmrkkblmbrbkManual testing
221005597991
19730467089863
8C690DA12FA3CDF7
2020-04-17Oliver KruseManual testing
221005597991
19730467089863
4921AC284E182850


CERT results:
No CERT results for M34847


P-1 factor-bounds graph:
B1 = 2000000000, B2 = 408370353971580 (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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1010
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=35.7 ~= 102-bit
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Last modified: 2024-03-13T02:15:48+00:00