[seqfan] number theory question about A000593

Peter Lawrence peterl95124 at sbcglobal.net
Sat Jun 18 17:37:14 CEST 2011

I was tinkering with A000593 "sum of odd divisors of N" and noticed  
that empirically

A(n)  =  n+1    IFF    isprime(n)                      <---  
conjecture ???

(a bit of finagling results in only needing to check for odd squares,  
so a simple C program
verifies this out to 10^12 pretty fast)

So I am wondering if this is actually true, and if so is there is any  
N.T. proof.

apologies in advance if this is too off-topic for this list,
Peter Lawrence.

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