Re: Consecutive ingegers: Coprime

From: Virgil (ITSnetNOTcom/virgil_at_COMCAST.com)
Date: 06/06/04 

Date: Sun, 06 Jun 2004 11:00:45 -0600

In article <e2b6c0lrpdm7qom8m2gij8n0b3nks77jck@4ax.com>,
 John R Ramsden <jr@adslate.com> wrote:

> On 28 May 2004 02:56:16 -0700, john_ramsden@sagitta-ps.com (John Ramsden)
> wrote:
> >
> > The number 17 has another interesting property [...]
>
> More in line with the topic of this thread, but in the opposite
> direction, the longest sequence of consecutive integers each
> a product of powers of the same four primes has length 15.

Only if exponents of zero are allowed, since there is no prime which is
a common factor of n and n+1.
>
> If anyone is interested, I have a reference to the paper in
> which this is proved. But to save me the trouble of finding
> it, a search on "stapled sequence" should be sufficient.
>
>
> Cheers
>
> ---------------------------------------------------------------------------
> John R Ramsden (jr@adslate.com)
> ---------------------------------------------------------------------------
> "Eternity is a long time, especially towards the end."
> Woody Allen

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