is 2 2309327 - 1
has 695177 decimal digits
takes 0.156 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
Actual26712.866967.1642 %50000005050000003.158210.9742 %16.025170.7677 %
Target2620.266064.5161 %1200010000000.00641.7389 %0.272565.1332 %
Difference+5+12.6009+2.6481 %+4988000+504000000+3.1518+9.2353%+15.7527+5.6345 %

Known prime factors (2 factors, 92.3 bits, 0.00399895% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
230932741567887825.3099
32
-991.939e-128.816e-71.794e-6
23093271516999213113713239372167.04032845049945584
24 × 232 × 149 × 26044019
2021-04-105292604401913.3820.13900.2596

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2018-02-22alpertronManual testing5000001500000012
skipped known factor: 41567887
---8.315%
2021-04-10ViliamF3500000050500000022167.0403.15815.464%


Trial Factoring results:
5758596061626364656667
No TF results for M2309327


ECM factoring results:
Total ECM effort:7.171 GHz-days
Estimated T-Level:20.937
DigitsB1CompleteFacMiss
20110001.99713.568%
25500000.18782.906%
302500000.01298.812%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.538
500007001035343.511
500004739242273.122


Lucas-Lehmer results:
No L-L results for M2309327


PRP results:
dateuseridcompidcofactorsres64
2017-10-11Oliver KruseGTX-3
41567887
023C2E1B36AED922
2017-11-22kkmrkkblmbrbkc4.xlarge
41567887
023C2E1B36AED922
2021-04-12Klaus Nordmannno1
41567887
151699921311371323937
7EC49865FE0DBD3B
2021-05-14ThomRuleyMainLaptop
41567887
151699921311371323937
7EC49865FE0DBD3B


CERT results:
No CERT results for M2309327


P-1 factor-bounds graph:
B1 = 5000000, B2 = 505000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=20.94 ~= 53-bit
250
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270
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Last modified: 2024-03-13T02:15:48+00:00