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## 6k-1 6k+1 primes

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• does anybody know where to find such k s for which neither 6k-1 nor 6k+1 is prime or a program that finds such k s. please e-mail me if you have such
Message 1 of 3 , Jan 13, 2005
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does anybody know where to find such k's for which neither 6k-1 nor
6k+1
is prime or a program that finds such k's. please e-mail me if you
have such information
• You can generate an infinite number of these by solving three equations with the Chinese Remainder Theorem. Pick two different primes 3, call them p and
Message 2 of 3 , Jan 13, 2005
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You can generate an infinite number of these by solving three equations with
the Chinese Remainder Theorem. Pick two different primes > 3, call them
p and q. Solve these three equations:
x == 0 mod 6
x == 1 mod p
x == q-1 mod q

set k to be x/6

Example, let p=7, q=11. Solution is x == 120 mod 462.
x = 120+462t for t = 0, 1, 2, 3, ...
k = 20 + 77t for t = 0, 1, 2, 3, ...

Different p and q will get you different infinite series. Some numbers will
belong to more than one series.

-----Original Message-----
From: mcnamara_gio [mailto:mcnamara_gio@...]
Sent: Thursday, January 13, 2005 7:09 AM
Subject: [PrimeNumbers] 6k-1 6k+1 primes

does anybody know where to find such k's for which neither 6k-1 nor
6k+1
is prime or a program that finds such k's. please e-mail me if you
have such information

Unsubscribe by an email to: primenumbers-unsubscribe@yahoogroups.com
The Prime Pages : http://www.primepages.org/

• Hi, In reply to your question relating to 6*k-1/6*k+1 primes,please refer to my communication of 10/17 to the group on the same subject. L.J.Balasundaram ...
Message 3 of 3 , Jan 14, 2005
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Hi,
In reply to your question relating to 6*k-1/6*k+1
primes,please refer to my communication of 10/17 to
the group on the same subject.
L.J.Balasundaram

--- mcnamara_gio <mcnamara_gio@...> wrote:

>
> does anybody know where to find such k's for which
> neither 6k-1 nor
> 6k+1
> is prime or a program that finds such k's. please
> e-mail me if you
> have such information
>
>
>
>

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