A005245 conjecture

[David W. Wilson]

Yes, you're right. I don't have the time these days to think through these things (or else age is taking its toll).

> -----Original Message-----
> From: Max Alekseyev [mailto:maxale at gmail.com]
> Sent: Thursday, January 31, 2008 7:51 PM
> To: David Wilson
> Cc: Sequence Fans
> Subject: Re: A005245 conjecture


> > Even though general smin(n) = 1+a(n-1) has failed us, one could still
> hope
> > for [3] below, that is,
> >
> >     a(n) = {
> >         1; n = 1
> >         1+a(n-1); n prime
> >         pmin(n); n composite
> >     }
> 
> This statement looks stronger than [3]. In addition to what is stated
> in [3], the above statement claims that pmin(n) <= smin(n) for every
> composite n. Or does that follow from [3] and I'm missing some trivial
> arguments?