[seqfan] Re: Prime numbers that differ by 30 with no primes between p and p+30
M. F. Hasler
seqfan at hasler.fr
Thu Jan 2 11:06:25 CET 2020
On Tue, Dec 31, 2019, 20:27 Harvey P. Dale <hpd at hpdale.org> wrote:
> Chris:
>
> You are correct that 69623 is the smallest prime such that its
> immediate predecessor prime and its immediate successor prime are both
> separated from it by 30. Here are the next such primes up through the
> 100,000th prime: 110681, 134639, (...)
>
That sequence does not appear in the OEIS.
>
Yed,, you submitted it in 2000 as http://oeis.org/A053075
--
Maximilian
> -----Original Message-----
>
> It is probably not desirable that every sequence involving pairs should
> have all four versions in OEIS, though!
>
I agree.
The union version for (p,p+30) being consecutive primes would face the same
> problem as for 5 with the prime pairs: should the p such that
>
> (p-30,p,p+30) are consecutive primes, occur once or twice? [The smallest
> such p is 69623, and there are undoubtedly infinitely many of them.]
>
>
>
> --
>
> Chris Thompson
>
> Email: cet1 at cam.ac.uk<mailto:cet1 at cam.ac.uk>
>
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