Strange behaviour of prime numbers
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05-31-2019, 07:07 PM
(This post was last modified: 05-31-2019 07:50 PM by Gilles.)
Post: #32
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RE: Strange behaviour of prime numbers
I'm not expert of this, but I guess this could be explain by the fact that there are some links between "divisibilty" and digits of a number. The most obvious is that a number is divisible by 3 if the sum of its digits is divisible by 3.
Suppose a prime number composed like this : abc3 Of course, a+b+c+3 is not divisible by 3. Remains 1 or 2 The next number with 3 at the end is : ab(c+1)3 . And there is a probability of 50% that a+b+(c+1)+3 is divisible by 3. So the probability of ab(c+1)3 is a prime number decrease of 50%. The "gap" between the digits is also important, I imagine |
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