From: Alexey on
Hello,

It seems that there is a misprint on the page
http://www.wolfram.com/products/mathematica/usersanduses/mersenne.html
We read that "In June 1999 an international group of mathematicians,
computer scientists, and hobbyists <...> discovered that 2^6972593-1
is
prime." But it is not true:
In[3]:= PrimeQ[2^26972593 - 1]
Out[3]= False

From: Ken Levasseur on
Alexey

You added a 2 to the base of the expression

Ken

Sent from my iPad

On Jul 18, 2010, at 1:05 AM, Alexey <lehin.p(a)gmail.com> wrote:

> Hello,
>
> It seems that there is a misprint on the page
> http://www.wolfram.com/products/mathematica/usersanduses/mersenne.html
> We read that "In June 1999 an international group of mathematicians,
> computer scientists, and hobbyists <...> discovered that 2^6972593-1
> is
> prime." But it is not true:
> In[3]:= PrimeQ[2^26972593 - 1]
> Out[3]= False
>

From: Bill Rowe on
On 7/18/10 at 1:05 AM, lehin.p(a)gmail.com (Alexey) wrote:

>It seems that there is a misprint on the page
>http://www.wolfram.com/products/mathematica/usersanduses/mersenne.
>html We read that "In June 1999 an international group of
>mathematicians, computer scientists, and hobbyists <...> discovered
>that 2^6972593-1 is prime." But it is not true: In[3]:=
>PrimeQ[2^26972593 - 1] Out[3]= False

Given
<http://en.wikipedia.org/wiki/Mersenne_prime#cite_note-17>
and
<http://primes.utm.edu/mersenne/>

both indicate 2^6972593-1 is prime and cite references, it does
seem like the issue is not a typo on the web page you found.
Rather, it seems there is a problem with PrimeQ. Note, I didn't
wait long enough for PrimeQ to return a response on my system
and consequently did not reproduce your result.


From: Alexey Popkov on
I apologize. It is my typo: I wrote 2^26972593 instead of 2^6972593.


"Ken Levasseur" <klevasseur(a)mac.com> news:i20q4h$kdt$1(a)smc.vnet.net...
> Alexey
>
> You added a 2 to the base of the expression
>
> Ken
>
> Sent from my iPad
>
> On Jul 18, 2010, at 1:05 AM, Alexey <lehin.p(a)gmail.com> wrote:
>
>> Hello,
>>
>> It seems that there is a misprint on the page
>> http://www.wolfram.com/products/mathematica/usersanduses/mersenne.html
>> We read that "In June 1999 an international group of mathematicians,
>> computer scientists, and hobbyists <...> discovered that 2^6972593-1
>> is
>> prime." But it is not true:
>> In[3]:= PrimeQ[2^26972593 - 1]
>> Out[3]= False
>>
>
>