Bi Statistics of the Number of Rounds, and Final Destination (from start), f\

    or Reaching an integer with property, "isprime", rolling a fair die with, 6,

    faces starting at all powers of, 10, up to the , 10

        that do not have property , "isprime", or as close as possible



                              By Shalsoh B. Ekhad



Suppose you start somewhere and roll a fair die with, 6, faces and walk forwa\
    rd according to the number of dots, and stop as soon as you hit an integ\

    er with property, "isprime"

for all starting integers  that are powers of, 10,  up the , 10,

    power that do not have property, "isprime"



                     You are allowed up to, 300, die-rolls



The table below tells you the probability of not finishing in <=, 300, rounds\
      followed by, conditioned on finishing by that number of rolls, the exp\
    ected duration of such a game, followed by the standard-deviation and th\
    e scaled moments

followed by the analogous displacement of final destination, followed by the\
     condional correlation between duration and destination

                             up to the, 4, moment



                     with Fair Dice with number of faces, 6



If you start at, 1, then the prob. of not finishing in <=, 300, rounds follow\
    ed by the statistical information ([Ave,S.D, skewness, kurtosis,..]) for\
     duration and (relative progress)  followed by the correlation are



[.5771683870e-26, [2.081569638, 2.340592730, 3.763834422, 24.10369235], [7.2854\
93739, 9.115659605], .9650609043]


If you start at, 10, then the prob. of not finishing in <=, 300, rounds follo\
    wed by the statistical information ([Ave,S.D, skewness, kurtosis,..]) fo\
    r duration and (relative progress)  followed by the correlation are



[.1960715721e-25, [3.421570103, 3.274660486, 2.458570020, 12.37614566], [11.975\
49536, 12.84289769], .9725849383]


If you start at, 100, then the prob. of not finishing in <=, 300, rounds foll\
    owed by the statistical information ([Ave,S.D, skewness, kurtosis,..]) f\
    or duration and (relative progress)  followed by the correlation are



[.4373241402e-24, [4.211400009, 4.530815094, 2.088423065, 8.805610728], [14.739\
90001, 17.20752003], .9808306473]


If you start at, 1000, then the prob. of not finishing in <=, 300, rounds fol\
    lowed by the statistical information ([Ave,S.D, skewness, kurtosis,..]) \
    for duration and (relative progress)  followed by the correlation are



[.1209475016e-20, [6.207409879, 4.642578378, 2.618682560, 14.42065927], [21.725\
93462, 16.82180489], .9674818857]


If you start at, 10000, then the prob. of not finishing in <=, 300, rounds fo\
    llowed by the statistical information ([Ave,S.D, skewness, kurtosis,..])\
     for duration and (relative progress)  followed by the correlation are



[.4244990230e-16, [9.452763905, 8.379998890, 1.274738006, 5.103775031], [33.084\
67368, 30.03092085], .9846281510]


If you start at, 100000, then the prob. of not finishing in <=, 300, rounds f\
    ollowed by the statistical information ([Ave,S.D, skewness, kurtosis,..]\
    ) for duration and (relative progress)  followed by the correlation are



[.4034776722e-12, [13.05798710, 12.60075031, 1.747577150, 7.006853238], [45.702\
95488, 44.89187824], .9905389600]


If you start at, 1000000, then the prob. of not finishing in <=, 300, rounds \
    followed by the statistical information ([Ave,S.D, skewness, kurtosis,..\
    ]) for duration and (relative progress)  followed by the correlation are



[.1216850097e-11, [14.43036811, 12.97515108, 1.361145868, 4.847703055], [50.506\
28851, 46.14479279], .9900855123]


If you start at, 10000000, then the prob. of not finishing in <=, 300, rounds\
     followed by the statistical information ([Ave,S.D, skewness, kurtosis,.\
    .]) for duration and (relative progress)  followed by the correlation ar\
    e



[.7426377991e-9, [27.26079334, 18.57929901, .9807553613, 5.194977163], [95.4127\
7664, 65.38009959], .9906637394]


If you start at, 100000000, then the prob. of not finishing in <=, 300, round\
    s followed by the statistical information ([Ave,S.D, skewness, kurtosis,\
    ..]) for duration and (relative progress)  followed by the correlation a\
    re



[.5387903296e-8, [15.48830071, 15.82533586, 2.424082982, 10.75164867], [54.2090\
5257, 56.11035378], .9928160969]


If you start at, 1000000000, then the prob. of not finishing in <=, 300, roun\
    ds followed by the statistical information ([Ave,S.D, skewness, kurtosis\
    ,..]) for duration and (relative progress)  followed by the correlation \
    are



[.3282179400e-7, [12.28303264, 16.40318308, 2.543038494, 11.36905662], [42.9906\
1390, 58.25688363], .9947511966]


If you start at, 10000000000, then the prob. of not finishing in <=, 300, rou\
    nds followed by the statistical information ([Ave,S.D, skewness, kurtosi\
    s,..]) for duration and (relative progress)  followed by the correlation\
     are



[.1978347069e-6, [19.00157598, 18.42746576, 3.040824145, 17.03803460], [66.5055\
1692, 65.06436131], .9934350408]




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