is 2 2184323 - 1
has 657547 decimal digits
takes 0.144 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
Actual26713.603367.1642 %500000150000000.12305.1776 %13.726268.8643 %
Target2620.281364.5161 %110008000000.00511.5694 %0.286465.0730 %
Difference+5+13.3220+2.6481 %+489000+14200000+0.1178+3.6082%+13.4398+3.7913 %

Known prime factors (3 factors, 135.8 bits, 0.00621768% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
218432369898337826.05916
24
-16164.093e-121.525e-63.104e-6
21843231124489480411236.71025740
22 × 32 × 5 × 11 × 13
2008-07-1411134.191e-91.059e-62.134e-6
218432397438294225292609645932273.0452230400316832552
23 × 19 × 107 × 137137255093
2023-09-28107137137255093875.71712.331,330.4

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-26alpertronManual testing5000001500000012
skipped known factor: 69898337
skipped known factor: 112448948041
---8.265%


Trial Factoring results:
5758596061626364656667
No TF results for M2184323


ECM factoring results:
Total ECM effort:7.732 GHz-days
Estimated T-Level:21.090
DigitsB1CompleteFacMiss
20110002.3179.854%
25500000.21880.419%
302500000.01498.619%


ECM Summary

B1B2factorcurvesGHz-days
10.062
500005000000181.540
50000675000070.685
50000700000070.697
50000700216770.697
5084131130190154.051


Lucas-Lehmer results:
No L-L results for M2184323


PRP results:
dateuseridcompidcofactorsres64
2017-10-09Oliver KruseGTX-2
69898337
112448948041
95E6AD634398FDD1
2017-11-19kkmrkkblmbrbkc4.xlarge
69898337
112448948041
95E6AD634398FDD1
2023-09-28carlos56citronella
69898337
112448948041
9743829422529260964593
4E5EA88E59637165


CERT results:
dateuseridcompid
2023-09-28NesowaLaptop


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
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.09 ~= 53-bit
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280
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Last modified: 2024-02-09T03:30:02+00:00