[seqfan] Re: A139414

[Maximilian Hasler]

For what it's worth, a (last(?)) follow-up in this thread with some
(real) information, from a reply received from J.K.Andersen:

dw> Do we have those 57 primes in the OEIS?

jka> The polynomial is in http://www.research.att.com/~njas/sequences/A121887
jka>
jka> I think the most known distinct primes for absolute value of a quadratic is
jka> http://www.research.att.com/~njas/sequences/A050268 where
jka> 36*n^2 - 810*n + 2753 gives 45 distinct primes for n=0..44.

dw> And what's the current record for primes in AP, and do we have those?

mh> 6171054912832631 + 81737658082080n is prime for all n from 0 to 24

jka> It is indeed the record.
jka> I guess you saw this at http://en.wikipedia.org/wiki/Prime_formula
jka> where "Andersen 2008" is the name of a reference with a link to
my record page
jka> http://users.cybercity.dk/~dsl522332/math/aprecords.htm
jka> Note that I didn't discover this AP. It was found by Raanan
Chermoni & Jaroslaw Wroblewski.

Let me just add that this is not yet listed in

A033189 : Smallest first term of arithmetic progression of n primes
with difference A033188(n).

since it is not proved that it is the smallest AP25.
More details can be found on Jens' web page cited above.

Regards,
Maximilian

PS: Thanks, Olivier, for the new "Reply-To:" setting. I hope this
won't create problems for you.