[seqfan] Re: New (?) sequence of primes

[Allan Wechsler]

I might do that, but I would like to hear from Zak to make sure I haven't
misunderstood his idea. He replied to my question, but the body of his
reply looked empty, so I don't know what he was trying to say.

On Thu, Dec 29, 2022 at 1:19 PM Neil Sloane <njasloane at gmail.com> wrote:

> Allan,  if you want, you could submit that sequence, corrected, saying "...
> following a suggestion from Zak Seidov" (as I did with A359126 with a
> sequence from someone else).
>
> Zak Seidov is blocked  (for the fourth time, he was blocked in 2017, 2019,
> 2021, and 2022 ), so he should not be submitting sequences through the back
> door like this.  But if you find the sequence interesting, go ahead and
> submit it.
>
> Best regards
> Neil
>
> Neil J. A. Sloane, Chairman, OEIS Foundation.
> Also Visiting Scientist, Math. Dept., Rutgers University,
> Email: njasloane at gmail.com
>
>
>
> On Wed, Dec 28, 2022 at 9:47 PM Allan Wechsler <acwacw at gmail.com> wrote:
>
> > Why does a(2) = 7? If a(2) were 3, then Omega(2 + 3) = Omega(5) = 1 < 4,
> as
> > desired.
> >
> > Omega is the number of prime factors counting multiplicity, right? (
> > https://oeis.org/A001222)
> >
> > I am getting 2, 3, 5, 7, 11, 19, 23, 29, 13, 17 ....
> >
> > On Tue, Dec 27, 2022 at 9:54 PM zak seidov via SeqFan <
> > seqfan at list.seqfan.eu>
> > wrote:
> >
> > > a(1) = 2; afterwards, a(n) is the least new prime such that
> Omega(a(n-1)
> > +
> > > a(n)) <4.
> > >
> > >  2, 7, 3, 5, 13, 17, 11, 19, 23, 29, 37, 31, 43, 59, 47, 67, 71, 53,
> 41,
> > > 61, 73, 97, 89, 83, 103, 79, 107, 131, 113, 101, 137, 109, 127, 139,
> 151,
> > > 163, 191, 167, 149, 173, 181, 157
> > > s = {2, 7}; p = 7; Do[q = 3; While [MemberQ [s, q] || PrimeOmega[p +
> q] >
> > > 3, q = NextPrime[q]]; AppendTo[s, p = q], {100}]; s
> > > ====================Dear SF gurus,Can/wish anyone to submit it to
> > OEIS?Thx
> > > a lot,Zakzakseidov at yahoo.com
> > >
> > >
> > > --
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> > >
> >
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> >
>
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