is 2 1844333 - 1
has 555200 decimal digits
takes 0.100 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
Actual26716.110968.6567 %50000010014213304.32909.2833 %20.440071.5664 %
Target2610.166665.5738 %90007500000.00391.6299 %0.170466.1349 %
Difference+6+15.9444+3.0829 %+491000+1000671330+4.3251+7.6534%+20.2695+5.4315 %

Known prime factors (1 factor, 43.4 bits, 0.00235165% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1844333113850786749991443.3723086503
7 × 17 × 37 × 701
-377016.825e-75.756e-65.923e-6

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-04-11Lisander ViaeneDesktop5000001001421330
skipped known factor: 11385078674999
--5.24714.907%


Trial Factoring results:
5758596061626364656667
No TF results for M1844333


ECM factoring results:
Total ECM effort:39.433 GHz-days
Estimated T-Level:25.712
DigitsB1CompleteFacMiss
201100015.0460.000%
25500001.68618.518%
302500000.14286.721%
3510000000.01099.028%


ECM Summary

B1B2factorcurvesGHz-days
500005000000221.521
50000660000021416.68
500006750000141.103
250000400000004720.13


Lucas-Lehmer results:
No L-L results for M1844333


PRP results:
dateuseridcompidcofactorsres64
2017-10-04Oliver KruseGTX-3
11385078674999
5BCB8D3E52C3B19C
2017-11-06ATHec2-1xh
11385078674999
5BCB8D3E52C3B19C


CERT results:
No CERT results for M1844333


P-1 factor-bounds graph:
B1 = 500000, B2 = 1001421330 (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
TF factor-bounds graph:
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.71 ~= 69-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00