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From: <jamikes.domain.name.hidden>

Date: Tue, 22 Aug 2006 18:30:35 -0400

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

From: "Bruno Marchal" <marchal.domain.name.hidden>

To: <everything-list.domain.name.hidden>

Sent: Tuesday, August 22, 2006 6:04 AM

Subject: Re: ROADMAP (well, not yet really...

(See below)

========================

Teach! -

I have a difference against your mathematical definition! (ha ha)

I thought if '1' is a proper divisor of a number, then the number itself is

also.

Upon your post I looked up Wikipedia: "divisor" (nice page) and copied from

it:

*

"For example, 7 is a divisor of 42 because 42/7 = 6. We also say 42 is

divisible by 7 or 42 is a multiple of 7 or 7 divides 42 and we usually write

7 | 42. For example, the positive divisors of 42 are 1, 2, 3, 6, 7, 14, 21,

42.

*

I don't think 42 is so different from 6. If you abandon "the number itself",

you MUST abandon the "1" as well and in that case 6, indeed nothing is a

perfect number.

I really had that suspicion that 'numbers' are not so perfect!

(metaphorically).

(I have an idea why it is important to leave out "the number proper": if '1'

and the 'number' are included, there would be NO PRIME NUMBER at all. Would

be a shame! Sorry for 37 indeed.

Of course the definition of 'prime number' excludes 'the number itself and

'1' - which, however, is not binding to the 'definition' of a divisor.)

Pupil John

======================================

Le 19-août-06, à 21:13, <jamikes.domain.name.hidden> (John M.) a écrit :

*> BTW I have a problem with the "perfect" 6:
*

*> ITS DIVISORS are 1,2,3,6, the sum of which is 12, not 6 and it looks
*

*> that
*

*> there is NO other perfect number in this sense either.
*

I have define a number to be perfect when it is equal to the sum of its

proper divisor. Six is not a proper divisor of six.

Bruno

http://iridia.ulb.ac.be/~marchal/

Date: Tue, 22 Aug 2006 18:30:35 -0400

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

From: "Bruno Marchal" <marchal.domain.name.hidden>

To: <everything-list.domain.name.hidden>

Sent: Tuesday, August 22, 2006 6:04 AM

Subject: Re: ROADMAP (well, not yet really...

(See below)

========================

Teach! -

I have a difference against your mathematical definition! (ha ha)

I thought if '1' is a proper divisor of a number, then the number itself is

also.

Upon your post I looked up Wikipedia: "divisor" (nice page) and copied from

it:

*

"For example, 7 is a divisor of 42 because 42/7 = 6. We also say 42 is

divisible by 7 or 42 is a multiple of 7 or 7 divides 42 and we usually write

7 | 42. For example, the positive divisors of 42 are 1, 2, 3, 6, 7, 14, 21,

42.

*

I don't think 42 is so different from 6. If you abandon "the number itself",

you MUST abandon the "1" as well and in that case 6, indeed nothing is a

perfect number.

I really had that suspicion that 'numbers' are not so perfect!

(metaphorically).

(I have an idea why it is important to leave out "the number proper": if '1'

and the 'number' are included, there would be NO PRIME NUMBER at all. Would

be a shame! Sorry for 37 indeed.

Of course the definition of 'prime number' excludes 'the number itself and

'1' - which, however, is not binding to the 'definition' of a divisor.)

Pupil John

======================================

Le 19-août-06, à 21:13, <jamikes.domain.name.hidden> (John M.) a écrit :

I have define a number to be perfect when it is equal to the sum of its

proper divisor. Six is not a proper divisor of six.

Bruno

http://iridia.ulb.ac.be/~marchal/

-- No virus found in this incoming message. Checked by AVG Free Edition. Version: 7.1.405 / Virus Database: 268.11.4/424 - Release Date: 08/21/06 --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-list.domain.name.hidden To unsubscribe from this group, send email to everything-list-unsubscribe.domain.name.hidden For more options, visit this group at http://groups.google.com/group/everything-list -~----------~----~----~----~------~----~------~--~---Received on Tue Aug 22 2006 - 18:31:33 PDT

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