- And a couple more:

1)There exists a grusome run of every length

2)Every integer partakes in a gruesome run

3)No integer has a dire straight length equal to its horrible band length.

4)An integer partakes in gruesome runs of all lengths between its dire

straight length and its horrible band length.

Jon Perry

perry@...

http://www.users.globalnet.co.uk/~perry

http://www.users.globalnet.co.uk/~perry/maths

BrainBench MVP for HTML and JavaScript

http://www.brainbench.com

-----Original Message-----

From: Jon Perry [mailto:perry@...]

Sent: 02 March 2002 17:31

To: primenumbers

Subject: [PrimeNumbers] Gruesome Conjectures

In addition to David Cleaver's conjecture that there exists a grusome run of

any length, I would like to add the conjecture that every integer is part of

a gruesome run.

This conjecture belies a new definition, which I have termed a 'dire

straight'. A dire straight is the smallest gruesome run that contains an

integer.

This therefore implies the longest gruesome run that contains an integer is

a 'horrible band'.

Jon Perry

perry@...

http://www.users.globalnet.co.uk/~perry

http://www.users.globalnet.co.uk/~perry/maths

BrainBench MVP for HTML and JavaScript

http://www.brainbench.com

Unsubscribe by an email to: primenumbers-unsubscribe@egroups.com

The Prime Pages : http://www.primepages.org

Your use of Yahoo! Groups is subject to http://docs.yahoo.com/info/terms/ - --- In primenumbers@y..., "djbroadhurst" <d.broadhurst@o...> wrote:
> 5) Every conceivable combination of ad hoc definitions will

5b) Each of these combinations will be posted one at a time, on a

> be posted eventually.

whim, without any forethought into fully (or even partly) thinking

through the possible "set".

5c) Each of these singly 1/100th thought out definitions

(conjectures) will generally be sent with dozens of additional

lines per posting filled in with insignificant items such as

overblown .sig files and or the bottom of a top posted prior email

(possibly not even relevant to the current "conjecture addition"). - But Jim, just think how Jon outranks you.

You are merely a DVP (David valued programmer)

whereas Jon is a "BrainBench" MVP (M valued professional)

and presumably M vastly outranks me,

your truly grateful [*] user,

David

[*] http://groups.yahoo.com/group/openpfgw/message/786 - M is for 'Most'.

Jon Perry

perry@...

http://www.users.globalnet.co.uk/~perry

http://www.users.globalnet.co.uk/~perry/maths

BrainBench MVP for HTML and JavaScript

http://www.brainbench.com

-----Original Message-----

From: djbroadhurst [mailto:d.broadhurst@...]

Sent: 03 March 2002 02:08

To: primenumbers@yahoogroups.com

Subject: [PrimeNumbers] Re: More Gruesome Conjectures

But Jim, just think how Jon outranks you.

You are merely a DVP (David valued programmer)

whereas Jon is a "BrainBench" MVP (M valued professional)

and presumably M vastly outranks me,

your truly grateful [*] user,

David

[*] http://groups.yahoo.com/group/openpfgw/message/786

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