A330364 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.

6211, 11351, 26687, 26731, 29819, 32381, 38321, 48817, 49919, 53653, 57347, 61843, 64033, 74873, 103231, 131507, 132367, 141439, 141871, 175649, 182009, 194569, 202777, 211859, 219763, 223681, 261529, 272381, 329431, 394943, 418043, 454417, 503959

Offset

1,1

Comments

See A330363. The full list of 58 values is provided in the b-file.

Links

Hugo Pfoertner, Table of n, a(n) for n = 1..58

Mathematica

Sort[Table[Abs[(((((x+3)*x-1583)*x-9483)*x+401614)*x+2351352)*x/72-11351], {x, -45, 12}]] (* Paolo Xausa, Mar 13 2024 *)

Prog

(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)}

Crossrefs

Cf. A330363 (function values of P(x) in the order of occurrence, including signs).

Sequence in context: A172629 A172697 A172731 * A230733 A293355 A112665

Adjacent sequences: A330361 A330362 A330363 * A330365 A330366 A330367

Keyword

nonn,fini,full,less

Author

Hugo Pfoertner, Dec 12 2019

Status

approved