Re: [PrimeNumbers] Re: Carmichael Numbers
- Dear Maxmilian,
Let me clarify;
A 104016 is the sequence of Devaraj Numbers
which are also Carmichael
Numbers and A 104017 is that of Devaraj Numbers which are NOT CNs. Both
display a property of
Let me clarify; A 104016 represents Devaraj numbers which are CNs and
A104017 represents DNs which are not CNs. best illustrated by following
Let us take 561, the smallest CN.
My conjecture about this is that 2*560/10*16 is
an integer ( and so it is =7).
Now let us take the smallest in the seq A 104017 viz 11305=5*7*17*19
My conjecture: 4*11304*11304/6*16*18 is an integer and so it is.
As regards my site if it is not accessible I wd be only too happy to send
the relevant file as an attachment/
Trust I have made myself clear.
On Sat, Apr 4, 2009 at 11:34 AM, Maximilian Hasler <
> It seems impossible to access http://www.crorepatibaniye.com/.<http://www.crorepatibaniye.com/>[Non-text portions of this message have been removed]
> The last update seen by web.archive of /any/ page on that site dates back
> to Nov.2007.
> The latest version of your "theorem" which I can access via web.archive is
> which has been *disproved*: sequence
> lists the first three lines of counter-examples.
> Given the moderate number of Mersenne primes we know and the rate at which
> this knowledge increases, you are quite safe from a counter-example against
> your new Conjecture (re-stated as: "the prime factors of a Carmichael Number
> cannot all be Mersenne").
> --- In email@example.com <primenumbers%40yahoogroups.com>,
> Devaraj Kandadai <dkandadai@...> wrote:
> > I am inclined to believe that this is a corollary of the
> > Devaraj-Pomernce-Maxal Thoerem (see
> > www.crorepatibaniye.com/failurefunctions).
> > A.K. Devaraj
> > On Thu, Apr 2, 2009 at 4:37 PM, Devaraj Kandadai <dkandadai@...>wrote:
> > > My conjecture pertaining to Carmichael Numbers was proved by Pomerance
> > > and Maxal(see www.crorepatibaniye.com/failurefunctions). Another
> > > conjecture:
> > >
> > > All the factors of a Carmichael Number cannot be Mersenne.
> > >
> > > You are hereby invited to prove/disprove the above.
> > >
> > > A.K.Devaraj
- --- In firstname.lastname@example.org, Devaraj Kandadai wrote:
> Now let us take the smallest in the seq A 104017 viz 11305=5*7*17*19As far as I understood, the D-numbers are /defined/ as those for which this is an integer; your conjecture says that this is a CN, but it isn't.
> My conjecture: 4*11304*11304/6*16*18 is an integer and so it is.
PS: the posts 2e4 and 2e4-1 are empty since you cannot send attachments. But we have the Pomerance-Alekseyev proof at http://www.mersenneforum.org/showpost.php?p=55271