is 2 172223 - 1
has 51845 decimal digits
takes 0.001 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
Actual267172.531673.1343 %10000000020000000000.975512.1982 %173.507176.4114 %
Target2440.000059.0909 %32003250000.00018.0896 %0.000162.4003 %
Difference+23+172.5316+14.0434 %+99996800+1999675000+0.9754+4.1086%+173.5070+14.0112 %

Known prime factors (4 factors, 263.0 bits, 0.15270541% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
17222317911193824.09452
22 × 13
-4131.312e-112.152e-83.902e-8
172223114790018393971291753.35033325983868
22 × 97 × 85891711
2009-03-0597858917110.00990.02240.0419
172223220858754883186802632064.26064119994101597
3 × 7 × 19 × 47 × 52489 × 65141
2008-08-26524896514122.3430.00030.0005
172223325004296026613614620610609154152025737121.2909435565982087572932204485148736
26 × 11 × 4783 × 7817 × 27527 × 13299269 × 979192663
2017-05-01132992699791926639.016e+110.31600.4776

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-05-01kkmrkkblmbrbkManual testing100000000200000000012237121.2900.97541.774%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-08ATHec2-P_115000000150000000027--0.489


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-03-05ANONYMOUSManual testing??
53.350
17
0.010


ECM factoring results:
Total ECM effort:10.901 GHz-days
Estimated T-Level:29.740
DigitsB1CompleteFacMiss
201100062.5350.000%
25500009.0140.012%
302500000.94838.752%
3510000000.07892.505%
4030000000.00599.480%


ECM Summary

B1B2factorcurvesGHz-days
10.003
5000050000002810.980
250000250000005699.92


Lucas-Lehmer results:
No L-L results for M172223


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptopD52B3FF00A8E6C__
2017-10-12kkmrkkblmbrbkc4.xlarge
17911193
11479001839397129
22085875488318680263
3250042960266136146206106091541520257
D52B3FF00A8E6C2C
2020-04-17Oliver KruseAddPrpType5
17911193
11479001839397129
22085875488318680263
3250042960266136146206106091541520257
CBD3BD9DE352E337
2024-02-03Wentao HuangManual testing
17911193
22085875488318680263
11479001839397129
3250042960266136146206106091541520257
CBD3BD9DE352E337


CERT results:
dateuseridcompid
2024-02-03slaurnocebo


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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101
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105
106
107
108
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=29.74 ~= 82-bit
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2100
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Last modified: 2024-03-13T02:15:48+00:00