## The Prime Sierpinski Numbers.

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• Has anyone looked at these. This is how I define them : A Sierpinski number is an odd number k such that k.2^n +1 is not prime for any n 0. A prime
Message 1 of 6 , Nov 9 1:56 PM
Has anyone looked at these. This is how I define them :

A Sierpinski number is an odd number k such that k.2^n +1 is not
prime for any n > 0.

A prime Sierpinski number is a prime number k such that k.2^n +1 is
not prime for any n > 0.

I have been trying to eliminate most primes k's under 271129, the
smallest prime Sierpinski Number, by finding primes.

Let me know if some one has already done this work or if you would
like to help me find primes for k's under 271129.

With best regards,
Harsh Aggarwal
• To participate in the search or to see my work till now on this subject please visit www.geocities.com/eharsh82/ Harsh Aggarwal
Message 2 of 6 , Nov 9 2:57 PM
To participate in the search or to see my work till now on this

Harsh Aggarwal

--- In primenumbers@yahoogroups.com, "eharsh82" <harsh@u...> wrote:
> Has anyone looked at these. This is how I define them :
>
> A Sierpinski number is an odd number k such that k.2^n +1 is not
> prime for any n > 0.
>
> A prime Sierpinski number is a prime number k such that k.2^n +1 is
> not prime for any n > 0.
>
> I have been trying to eliminate most primes k's under 271129, the
> smallest prime Sierpinski Number, by finding primes.
>
> Let me know if some one has already done this work or if you would
> like to help me find primes for k's under 271129.
>
> With best regards,
> Harsh Aggarwal
• ... How do you prove for a particular value of k that k*2^n+1 is never prime for n 0? I can think of a few values of k, for example if k = a^n where n is an
Message 3 of 6 , Nov 9 4:54 PM
On Sun, 9 Nov 2003, eharsh82 wrote:

> Has anyone looked at these. This is how I define them :
>
> A Sierpinski number is an odd number k such that k.2^n +1 is not
> prime for any n > 0.
>
> A prime Sierpinski number is a prime number k such that k.2^n +1 is
> not prime for any n > 0.
>
> I have been trying to eliminate most primes k's under 271129, the
> smallest prime Sierpinski Number, by finding primes.
>
> Let me know if some one has already done this work or if you would
> like to help me find primes for k's under 271129.
>

How do you prove for a particular value of k that k*2^n+1 is never prime
for n > 0?

I can think of a few values of k, for example if k = a^n where n is
an odd power greater than 1 and a*2+1 is not prime then a^n*x^n+1 =
(a*x)^n + 1 is not prime for all x > 0. But how do you do it in general?

--Edwin
• ... Ignore my second paragraph!! It is irelevant. Also I have now found the references posted and can look up the papers to see how to prove a particular k is
Message 4 of 6 , Nov 9 5:24 PM
On Sun, 9 Nov 2003, Edwin Clark wrote:

> On Sun, 9 Nov 2003, eharsh82 wrote:
>
> > Has anyone looked at these. This is how I define them :
> >
> > A Sierpinski number is an odd number k such that k.2^n +1 is not
> > prime for any n > 0.
> >
> > A prime Sierpinski number is a prime number k such that k.2^n +1 is
> > not prime for any n > 0.
> >
> > I have been trying to eliminate most primes k's under 271129, the
> > smallest prime Sierpinski Number, by finding primes.
> >
> > Let me know if some one has already done this work or if you would
> > like to help me find primes for k's under 271129.
> >
>
>
> How do you prove for a particular value of k that k*2^n+1 is never prime
> for n > 0?
>
> I can think of a few values of k, for example if k = a^n where n is
> an odd power greater than 1 and a*2+1 is not prime then a^n*x^n+1 =
> (a*x)^n + 1 is not prime for all x > 0. But how do you do it in general?
>
> --Edwin
>

Ignore my second paragraph!! It is irelevant.

Also I have now found the references posted and can look up the papers to
see how to prove a particular k is a Sierpinski number.

--Edwin
• The Prime Sierpinski Problem has now become a project. Please visit visit http://www.geocities.com/eharsh82/ to join. Recently, we found our first prime and
Message 5 of 6 , Nov 18 9:25 PM
The Prime Sierpinski Problem has now become a project. Please visit
visit http://www.geocities.com/eharsh82/ to join. Recently, we found
our first prime and now only 25k's are left to find primes for.

With best regards,
Harsh Aggarwal
• The project now has a new forum. Please visit and participate on the forum at:- http://www.b2project.com/phpBB2/index.php Thanks, Harsh Aggarwal ... found
Message 6 of 6 , Dec 1, 2003
The project now has a new forum. Please visit and participate on the
forum at:-

http://www.b2project.com/phpBB2/index.php

Thanks,
Harsh Aggarwal

--- In primenumbers@yahoogroups.com, "eharsh82" <harsh@u...> wrote:
> The Prime Sierpinski Problem has now become a project. Please visit
> visit http://www.geocities.com/eharsh82/ to join. Recently, we
found
> our first prime and now only 25k's are left to find primes for.
>
> With best regards,
> Harsh Aggarwal
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