is 2 9817 - 1
has 2956 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
Actual2673,026.781979.1045 %590000000002502560956086691502,410,879.767240.7883 %2,413,906.549187.6274 %
Target2440.000268.1818 %500500000.00001.2567 %0.000268.5817 %
Difference+23+3,026.7816+10.9227 %+58999999500+250256095608619150+2,410,879.7672+39.5317%+2,413,906.5489+19.0457 %

Known prime factors (2 factors, 58.9 bits, 0.60023278% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
981720556799824.2931047
3 × 349
-33492.793e-103.864e-96.204e-9
9817266190507431134.6321355763
3 × 451921
-34519213.393e-74.354e-68.131e-6

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-12-15Lisander ViaeneDesktop10110110126132804888190
skipped known factor: 20556799
skipped known factor: 26619050743
--407.259.323%
2023-06-15JacobZGreatLakes59000000000250256095608669150
skipped known factor: 20556799
skipped known factor: 26619050743
--6,326,50080.109%


Trial Factoring results:
5758596061626364656667
No TF results for M9817


ECM factoring results:
Total ECM effort:40.208 GHz-days
Estimated T-Level:39.322
DigitsB1CompleteFacMiss
2011000770.7140.000%
2550000203.0460.000%
3025000040.7870.000%
3510000006.5430.144%
4030000000.86442.127%
45110000000.09990.556%
50440000000.01099.014%


ECM Summary

B1B2factorcurvesGHz-days
50000500000050.001
2500002500000050.003
100000010000000040.009
30000003000000003,82231.28
4400000091101303930108.919


Lucas-Lehmer results:
No L-L results for M9817


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
20556799
26619050743
AB24FB882859242F
2017-09-21Oliver KruseManual testing
20556799
26619050743
AB24FB882859242F
2017-10-12kkmrkkblmbrbkManual testing
20556799
26619050743
AB24FB882859242F
2020-04-17Oliver KruseManual testing
20556799
26619050743
113578EEE0A4E241


CERT results:
No CERT results for M9817


P-1 factor-bounds graph:
B1 = 59000000000, B2 = 250256095608669150 (P-1 stage 2)
B1 = 101101101, B2 = 26132804888190 (P-1 stage 2)
B1 = 59000000000 (P-1 stage 1)
B1 = 101101101 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
1011
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=39.32 ~= 114-bit
250
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290
2100
2110
2120
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Last modified: 2024-03-13T02:15:48+00:00