is 2 8803 - 1
has 2650 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
Actualunknown4000000004000000000.070730.0154%0.070730.0154%
Target2440.000368.1818%500800000.00001.2152%0.000368.5685%
Difference-44-0.0003-68.1818%+399999500+399920000+0.0707+28.8002%+0.0705-38.5531%

Known prime factors (6 factors, 298.6 bits, 3.39237212% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
88032834567721.435161
7 × 23
-7233.284e-111.392e-92.519e-9
8803226906129927.75812888
23 × 32 × 179
-91793.635e-93.229e-93.239e-9
880375637488731032.816429612
22 × 3 × 35801
-4358011.293e-73.456e-76.442e-7
8803469695006776891445.4172667812148
22 × 32 × 74105893
-9741058930.00080.00070.0013
8803333138738909275515520472374.8191892188679480151741
33 × 13 × 59 × 251 × 457 × 1289 × 617963
-1289617963470,4526.169e-61.112e-5
88031035696328934679269271322121273096.3875882632789586954840800421
69737 × 116747 × 228469 × 3162535931
-22846931625359312.242e+120.03050.0569

57 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27Seth_TrManual testing100000000100000000-
skipped known factor: 2834567
skipped known factor: 226906129
skipped known factor: 7563748873
skipped known factor: 46969500677689
skipped known factor: 33313873890927551552047
--0.018--26.329%
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 2834567
skipped known factor: 226906129
skipped known factor: 7563748873
skipped known factor: 46969500677689
skipped known factor: 33313873890927551552047
--0.071--30.015%


Trial Factoring results:
No TF results for M8803


ECM factoring results:
Total ECM effort:3,118.177 GHz-days
Estimated T-Level:46.509
DigitsB1CompleteFacMiss
20110005,586.2000.000%
25500001,571.3570.000%
30250000424.1260.000%
35100000087.7550.000%
40300000015.2340.000%
45110000002.28810.144%
50440000000.30273.954%
551100000000.03696.491%
602600000000.00499.627%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000002,68120.46
30000006000000001,00010.12
11000000365788846629,6003,088


Lucas-Lehmer results:
No L-L results for M8803


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PCBF831896FE0268__?
2017-09-21Oliver KruseManual testingBF831896FE0268__?
2017-10-02kkmrkkblmbrbkManual testing
2834567
226906129
7563748873
46969500677689
33313873890927551552047
103569632893467926927132212127
BF831896FE0268__no
2017-12-07ATHManual testing
2834567
226906129
7563748873
46969500677689
33313873890927551552047
103569632893467926927132212127
BF831896FE0268__no
2020-04-17Oliver KruseManual testing
2834567
226906129
7563748873
46969500677689
33313873890927551552047
103569632893467926927132212127
353B7904922BFE__no


P-1 factor-bounds graph:
B1 = 400000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=46.51 ~= 138-bit
250
260
270
280
290
2100
2110
2120
2130
2140
Last modified: 2023-06-05T21:50:05+00:00