[seqfan] Re: Sum of a binary power and an odd prime power

Charles Greathouse charles.greathouse at case.edu
Fri Apr 16 08:52:53 CEST 2010


> By my understanding, A115231 is an incorrect version of A065381, but

Sorry, I meant "A115231 should be a subsequence of A065381".

Charles Greathouse
Analyst/Programmer
Case Western Reserve University

On Fri, Apr 16, 2010 at 2:48 AM, Charles Greathouse
<charles.greathouse at case.edu> wrote:
> Would someone check sequences A115230, A115231, A115232, and A115230?
>
> A115231 ("Primes that cannot be written as a sum of a binary power and
> an odd prime power.") begins 149, 191, 263, 269, ..., but it seems
> that 191 = 2^6 + 127^1, 263 = 2^64 + 199^1, 269 = 2^8 + 13^1, etc.
> should not be terms.  It seems clear that prime powers are intended to
> include primes, else the sequence would be
> 2, 3, 7, 19, 23, 37, 47, 61, 67, 71, 79, 101, 103, 107, 109, 131, 139, ...
>
> By my understanding, A115231 is an incorrect version of A065381, but
> maybe I'm missing something.  What does that do to the other
> sequences, which use the same assumptions?
>
> I sent the author an email last week but he has not responded.
>
> Charles Greathouse
> Analyst/Programmer
> Case Western Reserve University
>




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