[seqfan] Re: n^n + prime(n) = k^k

[Charles Greathouse]

I wrote a program at
https://oeis.org/A000312
for just this sort of situation. But it turns out that it's not needed
here. The n-th prime is greater than 0, so k >= n+1 and hence you need the
n-th prime to be at least (n+1)^(n+1) - n^n. But even at n = 10 this is
275311670611 which is way, way larger than the 10th prime. So I think this
sequence is empty.

Charles Greathouse
Analyst/Programmer
Case Western Reserve University


On Mon, Jul 21, 2014 at 4:58 PM, Frank Adams-Watters <franktaw at netscape.net>
wrote:

> Say what?
>
> 5^5 = 3125, fifth prime = 11, total 3136.
> 6^6 = 46656.
>
> Franklin T. Adams-Watters
>
>
> -----Original Message-----
> From: юрий гераси
> мов <2stepan at rambler.ru>
> To: seqfan <seqfan at list.seqfan.eu>
> Sent: Mon, Jul 21, 2014 3:31 pm
> Subject: [seqfan] n^n + prime(n) = k^k
>
>
>
>
> Dear SeqFans,
> n^n + n-th prime = k^k:
> 1) 5^5 + 5-the prime = 6^6;
> 2) 6^6  +  6-the prime = 7^7;
> 3) ?
> JSG.
>
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