A256153 Primitive prime factors of the cyclotomic polynomial sequence Phi(5,k) in the order in which they occur.

5, 31, 11, 71, 311, 2801, 151, 61, 41, 271, 3221, 22621, 30941, 3761, 4931, 88741, 2711, 911, 251, 40841, 245411, 292561, 346201, 521, 8641, 4561, 637421, 732541, 837931, 17351, 601, 1801, 39451, 22571, 49831, 101, 4271, 194681, 191, 401, 2625641, 579281

Offset

1,1

Comments

Phi(5,k) = k^4 + k^3 + k^2 + k + 1.

All terms end with the digit 1.

Links

Robert Price, Table of n, a(n) for n = 1..1191

Mathematica

prim = {}; Do[prim = Join[prim, Complement[First /@ FactorInteger[Cyclotomic[5, k]], prim]], {k, 1000}]; prim

Prog

(PARI) lista(nn) = {vs = []; for (n=1, nn, vp = factor(polcyclo(5, n))[, 1]; for (i=1, #vp, if (!vecsearch(vs, vp[i]), print1(vp[i], ", "); vs = vecsort(concat(vs, vp[i]), , 8); ); ); ); } \\ Michel Marcus, Mar 20 2015

Crossrefs

Cf. A005529, A248874, A256144, A256145, A256146, A256148.

Sequence in context: A297472 A299129 A255677 * A238196 A352347 A172030

Adjacent sequences: A256150 A256151 A256152 * A256154 A256155 A256156

Keyword

nonn

Author

Robert Price, Mar 16 2015

Status

approved