is 2 1844723 - 1
has 555317 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
Actual26716.107568.6567 %500000283586457012.191010.3807 %28.298571.9104 %
Target2610.166565.5738 %90007500000.00391.6300 %0.170466.1349 %
Difference+6+15.9410+3.0829 %+491000+2835114570+12.1871+8.7507%+28.1281+5.7755 %

Known prime factors (2 factors, 66.5 bits, 0.00360550% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1844723191851193927.51552
22 × 13
-4139.802e-123.532e-76.404e-7
18447235482959489531238.996148612
22 × 53 × 701
2008-07-15537012.317e-86.946e-68.485e-6

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-04-11Lisander ViaeneDesktop5000002835864570
skipped known factor: 191851193
skipped known factor: 548295948953
--14.7816.365%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-15J FeitsmaManual testing??
38.996
12


ECM factoring results:
Total ECM effort:39.377 GHz-days
Estimated T-Level:25.712
DigitsB1CompleteFacMiss
201100015.0430.000%
25500001.68618.521%
302500000.14286.725%
3510000000.01099.028%


ECM Summary

B1B2factorcurvesGHz-days
500005000000362.489
50000660000021516.76
250000400000004720.13


Lucas-Lehmer results:
No L-L results for M1844723


PRP results:
dateuseridcompidcofactorsres64
2017-10-04Oliver KruseGTX-3
191851193
548295948953
661A64F471294EC5
2017-11-06kkmrkkblmbrbkc4.xlarge
191851193
548295948953
661A64F471294EC5


CERT results:
No CERT results for M1844723


P-1 factor-bounds graph:
B1 = 500000, B2 = 2835864570 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
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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
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270
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Last modified: 2024-03-13T02:15:48+00:00