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The probability of occurrence of 3 consecutive primes

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  • mafshin89
    Dear primists: I was just sieving a set of numbers for PRP test and wonderfully one of my log time stamp appeared like below: 23:29:31 Multiplying partitions
    Message 1 of 2 , Dec 28, 2013
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      Dear primists:


      I was just sieving a set of numbers for PRP test and wonderfully one of my log time stamp appeared like below:

      "23:29:31 Multiplying partitions started"

      A day has 86400 seconds so each second has 1/86400 change of occurrence.

      But this sequence has 3 consecutive primes {23,29,31}. What is the probability of such a occurrence? 

      Can anyone help?



    • Andrey Kulsha
      But this sequence has 3 consecutive primes {23,29,31}. What is the probability of such a occurrence? 02:03:05 03:05:07 05:07:11 07:11:13 11:13:17 13:17:19
      Message 2 of 2 , Dec 28, 2013
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        But this sequence has 3 consecutive primes {23,29,31}. What is the probability of such a occurrence? 
         
            02:03:05
            03:05:07
            05:07:11
            07:11:13
            11:13:17
            13:17:19
            17:19:23
            19:23:29
            23:29:31
         
            pi(24)/86400 = 1/9600
         
            Best regards,
         
            Andrey
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