[seqfan] Re: Computing more terms of draft sequence A343745

[Alex Hall]

Yes, sorry, I posted my message immediately after rgwv's and before yours
(in particular your note "OTOH something must be wrong somewhere...") but
it was only moderator approved after Neil Sloane's message which I think
made the tone of my message look a bit more aggressive. At the time I was
genuinely surprised and was wondering if I'd made a mistake or if rgwv had
checked some truly massive numbers. I hadn't actually looked directly at
factors of Bernoulli numbers beyond B_300.

On Sat, May 1, 2021 at 5:07 AM D. S. McNeil <dsm054 at gmail.com> wrote:

> I think rgvw and I took the part after "i.e." as defining what "consecutive
> irregular pair" meant:
>
>    Consecutive irregular pairs, i.e., primes p where an integer k exists
> such
>    that p divides the numerators of the Bernoulli numbers B_{2k} and
> B_{2k+2}."
>
> Since 37 is prime (even an irregular prime!) and 37 divides B_{2*555} and
> B_{2*555+2}, this seems like it would satisfy the condition as written.
>
> But this violates the additional k,p constraint that Tom Duff explained.
>
>
> Doug
>
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