Primes of both forms 24n+7 and 7m+24

[zak seidov]

Many thanks for those responded
(and sorry before those just annoyed).

Please notice that i 
DIDN'T SENT THESE SEQUENCES to OEIS,
each time i "contrived" them.

Usually i put them aside 
and sometimes ask Q or 2 about them
from you SF gurus.

thanks again, zak


--- Maximilian Hasler <maximilian.hasler at gmail.com>
wrote:

> >  Why don't we just include all infinitely many
> sequences of this type?
> >  (I still hope for the day when superseeker
> becomes computationally
> >  cheap enough that you can get it on the web site;
> then the OEIS really
> >  could "contain" all sequences of this type.)
> 
> I think the problem is less that OEIS could not
> contain infinitely
> many sequences of this type (actually, it can
> contain all these in a
> single sequence: square array read by antidiagonals:
> row m=r(r+1)/2+s
> contains primes = f(s) mod g(r), 0 <= s <= r
> =1,2,3... or the like),
> but rather that it would become quite difficult to
> find the sequences
> you really search for in an ocean of unint...er...
> interesting-but-not-related sequences.
> 
> Maximilian
> 



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Perhaps someone has already noticed that

A107003 appears to be primes of the form 5+24k
A107007 appears to be primes of the form 11+24k and 3
A107181 appears to be primes of the form 17+24k
A107154 appears to be primes of the form 19+24k and 3

I'm not proving these, but it should be possible.

Has anyone answered this question: what is the latest that sequences of
this type (quadratic forms and congruences) can disagree?  It seems that
the answer will depend on the discriminant.  The theorem I'm looking for is
and A116582).

Tony