is 2 2183231 - 1
has 657219 decimal digits
takes 0.144 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.610167.1642%500000150000000.12305.1773%13.733168.8642%1.7000%
PrimeNet2580.017662.0690%100001800000.00182.8591%0.019463.1534%1.0845%
GPU722620.281464.5161%110001600000.00181.5692%0.283265.0729%0.5568%
Difference+5+13.3287+2.6481%+489000+14840000+0.1212+3.6081%+13.4498+3.7912%+3.7912%

Known prime factors (2 factors, 106.5 bits, 0.00487659% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2183231628770529929.228144
24 × 32
-993.378e-118.580e-71.746e-6
21832311783682118307996551304392477.23940849596728609949
32 × 7 × 8247377 × 78619699
2022-05-1682473777861969923,5151.15181.6002

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
218323111215267490963595764938369403223133106.467
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-24T11:58:31alpertronManual testing5000001500000012-
skipped known factor: 628770529
--0.123--5.177%


Trial Factoring results:
No TF results for M2183231


ECM factoring results:

Old Calculation Method

Total ECM effort:1.700 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:1.700 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.73148.154%
25500000.06893.450%
302500000.00499.571%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.513
50000665000050.486
50000707656370.701


Lucas-Lehmer results:
No L-L results for M2183231


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T05:20:45Oliver KruseGTX-1
628770529
867FD8DBB0A3F5__no
2017-11-19T08:02:07kkmrkkblmbrbkc4.xlarge
628770529
867FD8DBB0A3F5__no
2022-05-16T02:58:32aperson12012_VP113
628770529
178368211830799655130439
E18DA566E7D582C0no


P-1 factor-bounds graph:
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
TF factor-bounds graph:
267
220
230
240
250
260
270
280
290
2100
Last modified: 2022-06-27T08:39:10+00:00