[seqfan] Re: Mathematica and aspiring numbers

[Tanya Khovanova]

By the definition aspiring numbers do not include perfect numbers.

--- Richard Mathar <mathar at strw.leidenuniv.nl> wrote:

> 
> tk> From seqfan-bounces at list.seqfan.eu Thu Dec 18 18:57:11 2008
> tk> Date: Thu, 18 Dec 2008 09:51:55 -0800 (PST)
> tk> From: Tanya Khovanova <mathoflove-seqfan at yahoo.com>
> tk> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> tk> Subject: [seqfan]  Mathematica and aspiring numbers
> tk> ...
> tk> If you are in a mood for doing favors - you can help me. I
> urgently
> tk> need the next three aspiring numbers after 9997. (Aspiring
> numbers have
> tk> aliquot sequence ending in a perfect number)
> tk> ...
> 
> I am wondering: why isn't 496 in A063769?
> A001065(496)=496, so the aliquot sequence immediately stalls  with
> the fix
> point 496, and 496 is in A000396 (=perfect). So from this argument,
> the aliquot
> sequence of 496 ends at 496 which is a perfect number..
> 
> Richard
> 
> 
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