## The probability of occurrence of 3 consecutive primes

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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
Message 1 of 2 , Dec 28, 2013
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?

• 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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