## When might I expect a prime or relative prime?

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• Hi all, Would you consider this list A of primes including 2; A = [2,3,5,7,11] Then consider a number n. n has these properties: It is an even integer. It is
Message 1 of 2 , Jun 4, 2008
Hi all,

Would you consider this list A of primes including 2;

A = [2,3,5,7,11]

Then consider a number n.

n has these properties:

It is an even integer.
It is not divisible by any of the odd members of A.

Consider adding successively larger integer values x to n.

x has these properties:

It is odd.
It is divisible by any integer not in A

Can anyone give me any limitations on the size of gap within which I
would expect one of these additions to result in a prime or
relatively prime number?

Cheers for any consideration.
• ... From: Bob Gilson To: chrisdarroch Sent: Thursday, June 5, 2008 5:20:53 PM Subject: Re: [PrimeNumbers]
Message 2 of 2 , Jun 5, 2008
----- Original Message ----
From: Bob Gilson <prime.number@...>
To: chrisdarroch <chrisdarr2@...>
Sent: Thursday, June 5, 2008 5:20:53 PM
Subject: Re: [PrimeNumbers] When might I expect a prime or relative prime?

This is tautology, and not worthy of consideration

----- Original Message ----
From: chrisdarroch <chrisdarr2@...>
Sent: Wednesday, June 4, 2008 9:50:41 PM
Subject: [PrimeNumbers] When might I expect a prime or relative prime?

Hi all,

Would you consider this list A of primes including 2;

A = [2,3,5,7,11]

Then consider a number n.

n has these properties:

It is an even integer.
It is not divisible by any of the odd members of A.

Consider adding successively larger integer values x to n.

x has these properties:

It is odd.
It is divisible by any integer not in A

Can anyone give me any limitations on the size of gap within which I
would expect one of these additions to result in a prime or
relatively prime number?

Cheers for any consideration.

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