is 2 509843 - 1
has 153479 decimal digits
takes 0.007 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
Actual26758.280571.6418 %200000067331464207.797111.7991 %66.077774.9878 %
Target2440.000056.8182 %900015000000.001914.5552 %0.001963.1034 %
Difference+23+58.2805+14.8236 %+1991000+6731646420+7.7952-2.7560 %+66.0757+11.8844 %

Known prime factors (3 factors, 83.8 bits, 0.01643312% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5098431019687719.9601
1
-111.370e-132.115e-84.304e-8
509843914658343929.769897
3 × 13 × 23
2008-07-2113231.675e-102.864e-75.595e-7
509843178445050011134.05517500
22 × 54 × 7
2008-07-216256258.026e-91.322e-52.690e-5

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing15000005000000012
skipped known factor: 1019687
skipped known factor: 914658343
skipped known factor: 17844505001
---32.796%
2022-12-15USAFSSUSAFSACS20000006733146420
skipped known factor: 1019687
skipped known factor: 914658343
skipped known factor: 17844505001
--7.96146.108%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-21J FeitsmaManual testing??
34.055
11
2008-07-21J FeitsmaManual testing??
29.769
9


ECM factoring results:
Total ECM effort:16.088 GHz-days
Estimated T-Level:26.435
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002814.516
2500002500000014411.57


Lucas-Lehmer results:
No L-L results for M509843


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-3
1019687
17844505001
914658343
296AF0EEE07C6B07
2017-09-28Oliver KruseManual testing
1019687
17844505001
914658343
296AF0EEE07C6B07
2017-11-07kkmrkkblmbrbkc4.xlarge
1019687
914658343
17844505001
296AF0EEE07C6B07
2020-04-19Oliver KruseAddPrpType5
1019687
914658343
17844505001
EE58E90C9E71181A


CERT results:
No CERT results for M509843


P-1 factor-bounds graph:
B1 = 2000000, B2 = 6733146420 (P-1 stage 2)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1500000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.44 ~= 71-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00