## RE: [PrimeNumbers] Two anti-div diamonds (correction)

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• The original statement is wrong, for example 24:7,16 and 25:2,3,7,10,17. This is because 49 is a square. So: A number is prime iff two consecutive integers do
Message 1 of 4 , Sep 29, 2001
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The original statement is wrong, for example 24:7,16 and 25:2,3,7,10,17.
This is because 49 is a square.

So:

A number is prime iff two consecutive integers do not share an anti-div.

Jon Perry
perry@...
http://www.users.globalnet.co.uk/~perry
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• OK, do you mean, A number p is prime iff two consecutive integers a and a+1 do not share an anti-div, and p = 2a+1 ? The sad part is I haven t dug into the
Message 2 of 4 , Sep 29, 2001
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OK, do you mean, "A number p is prime iff two consecutive
integers a and a+1 do not share an anti-div, and p = 2a+1" ?

The sad part is I haven't dug into the archives deep enough
to know what an anti-div is. :P

Jon Perry wrote:
>
> The original statement is wrong, for example 24:7,16 and 25:2,3,7,10,17.
> This is because 49 is a square.
>
> So:
>
> A number is prime iff two consecutive integers do not share an anti-div.
>
> Jon Perry

-- Dan Morenus (dmorenus@...)

-- This parachute is not warranted to be suitable --
-- for any purpose, including descending safely --
-- from an airplane to the ground. --
• See: http://www.users.globalnet.co.uk/~perry/maths/antidivisor.htm Jon Perry perry@globalnet.co.uk http://www.users.globalnet.co.uk/~perry Brainbench Most
Message 3 of 4 , Sep 29, 2001
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See:

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

Jon Perry
perry@...
http://www.users.globalnet.co.uk/~perry
Brainbench 'Most Valuable Professional' for HTML
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-----Original Message-----
From: Dan Morenus [mailto:dmorenus@...]
Sent: 29 September 2001 17:44
To: Jon Perry
Cc: Prime Numbers
Subject: Re: [PrimeNumbers] Two anti-div diamonds (correction)

OK, do you mean, "A number p is prime iff two consecutive
integers a and a+1 do not share an anti-div, and p = 2a+1" ?

The sad part is I haven't dug into the archives deep enough
to know what an anti-div is. :P

Jon Perry wrote:
>
> The original statement is wrong, for example 24:7,16 and 25:2,3,7,10,17.
> This is because 49 is a square.
>
> So:
>
> A number is prime iff two consecutive integers do not share an anti-div.
>
> Jon Perry

-- Dan Morenus (dmorenus@...)

-- This parachute is not warranted to be suitable --
-- for any purpose, including descending safely --
-- from an airplane to the ground. --

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