----- Original Message ----- From: "Bruno Marchal" <[EMAIL PROTECTED]> To: <[email protected]> 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, <[EMAIL PROTECTED]> (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/ -- 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 [email protected] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list -~----------~----~----~----~------~----~------~--~---
