

A218358


Minimal order of degreen irreducible polynomials over GF(7).


2



1, 4, 9, 5, 2801, 36, 29, 64, 27, 11, 1123, 13, 16148168401, 113, 31, 17, 14009, 108, 419, 55, 261, 23, 47, 73, 2551, 53, 81, 145, 59, 99, 311, 256, 3631, 56036, 81229, 135, 223, 1676, 486643, 41, 83, 1017, 166003607842448777, 115, 837, 188, 13722816749522711
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OFFSET

1,2


COMMENTS

a(n) < 7^n.


LINKS

Table of n, a(n) for n=1..47.
Eric Weisstein's World of Mathematics, Irreducible Polynomial
Eric Weisstein's World of Mathematics, Polynomial Order


FORMULA

a(n) = min(M(n)) with M(n) = {d : d(7^n1)} \ U(n1) and U(n) = M(n) union U(n1) for n>0, U(0) = {}.
a(n) = A212486(n,1) = A213224(n,4).


MAPLE

with (numtheory):
M:= proc(n) M(n):= divisors(7^n1) minus U(n1) end:
U:= proc(n) U(n):= `if`(n=0, {}, M(n) union U(n1)) end:
a:= n> min(M(n)[]):
seq (a(n), n=1..42);


CROSSREFS

Cf. A212486, A213224.
Sequence in context: A137807 A163103 A019688 * A196403 A238557 A271181
Adjacent sequences: A218355 A218356 A218357 * A218359 A218360 A218361


KEYWORD

nonn


AUTHOR

Alois P. Heinz, Oct 27 2012


STATUS

approved



