Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #14 Mar 13 2024 10:33:01
%S 6211,11351,26687,26731,29819,32381,38321,48817,49919,53653,57347,
%T 61843,64033,74873,103231,131507,132367,141439,141871,175649,182009,
%U 194569,202777,211859,219763,223681,261529,272381,329431,394943,418043,454417,503959
%N Values of abs(P(x)), with P(x) = (1/72)*x^6 + (1/24)*x^5 - (1583/72)*x^4 - (3161/24)*x^3 + (200807/36)*x^2 + (97973/3)*x - 11351, for -45 <= x <= 12, sorted by size. All values in the given range are prime.
%C See A330363. The full list of 58 values is provided in the b-file.
%H Hugo Pfoertner, <a href="/A330364/b330364.txt">Table of n, a(n) for n = 1..58</a>
%t Sort[Table[Abs[(((((x+3)*x-1583)*x-9483)*x+401614)*x+2351352)*x/72-11351],{x,-45,12}]] (* _Paolo Xausa_, Mar 13 2024 *)
%o (PARI) {my(v=vector(58),m=0,p,P(x)=(((((x/72+1/24)*x-1583/72)*x-3161/24)*x+200807/36)*x+97973/3)*x-11351);for(k=-45,oo,p=abs(P(k));if(isprime(p),v[m++]=p,break));vecsort(v)}
%Y Cf. A330363 (function values of P(x) in the order of occurrence, including signs).
%K nonn,fini,full,less
%O 1,1
%A _Hugo Pfoertner_, Dec 12 2019