is 2 1833473 - 1
has 551931 decimal digits
takes 0.099 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
Actual26716.206468.6567 %500000150000000.10155.0697 %16.307870.2457 %
Target2610.167565.5738 %90007000000.00371.5952 %0.171266.1229 %
Difference+6+16.0388+3.0829 %+491000+14300000+0.0978+3.4745%+16.1366+4.1228 %

Known prime factors (2 factors, 121.2 bits, 0.00660941% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1833473558815545007991445.66715239263
13 × 229 × 5119
-22951193.941e-63.897e-54.098e-5
1833473539620962175600598666712375.51414715814254575895
34 × 5 × 41 × 886227898499
2021-05-28818862278984994,729.03,798.27,093.9

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing5000001500000012
skipped known factor: 55881554500799
---8.866%


Trial Factoring results:
5758596061626364656667
No TF results for M1833473


ECM factoring results:
Total ECM effort:39.335 GHz-days
Estimated T-Level:25.712
DigitsB1CompleteFacMiss
201100015.0400.000%
25500001.68618.526%
302500000.14286.727%
3510000000.01099.028%


ECM Summary

B1B2factorcurvesGHz-days
500005000000372.556
50000660000018814.64
500006600000262.025
250000400000004720.11


Lucas-Lehmer results:
No L-L results for M1833473


PRP results:
dateuseridcompidcofactorsres64
2017-10-04Oliver KruseGTX-3
55881554500799
B384201F229834CD
2017-11-06kkmrkkblmbrbkold
55881554500799
B384201F229834CD
2021-05-29Peter_JakubOptiPlex
55881554500799
53962096217560059866671
D15BE8B2D446E432


CERT results:
dateuseridcompid
2021-05-29Ben Deloi-0332c2f51d775468a


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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106
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109
1010
1011
1012
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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JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00