7814RE: [PrimeNumbers] Factor patterns
- Jul 1 1:23 PMA swerve.
Can you explain why sigma(n-1)+sigma(n)+sigma(n+1) is nearly always even?
From: Markus Frind [mailto:flames@...]
Sent: 01 July 2002 02:35
Subject: [PrimeNumbers] Factor patterns
Given 12n-1 is it possible to prove that all factors of 12n-1 add up to
12*k ? Note this breaks down when you have more then 2 factors, but if
you if you limit yourself to 2 factors (prime or composite) it works. The
same also holds true for 6n-1 does this have to do with the fact that all
primes can be expressed as either 6k-1 or 6k+1 ?
12*45 -1 = 7 * 7 *11
49 + 11 = 60
7 + 77 = 84
12*8-1 = 95
19+5 = 24
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