The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A218361 Minimal order of degree-n irreducible polynomials over GF(17). 4
 1, 3, 307, 5, 88741, 7, 25646167, 128, 19, 11, 2141993519227, 35, 212057, 22796593, 27243487, 256, 10949, 57, 229, 25, 43, 23, 47, 73, 2551, 53, 433, 5766433, 59, 31, 4093, 257, 67, 32847, 966211, 37, 149, 457, 157, 41, 83, 49, 1549, 89, 3691, 141 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(n) < 17^n. LINKS Max Alekseyev, Table of n, a(n) for n = 1..242 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|(17^n-1)} \ U(n-1) and U(n) = M(n) union U(n-1) for n>0, U(0) = {}. a(n) = A218338(n,1) = A213224(n,7). MAPLE with(numtheory): M:= proc(n) M(n):= divisors(17^n-1) minus U(n-1) end: U:= proc(n) U(n):= `if`(n=0, {}, M(n) union U(n-1)) end: a:= n-> min(M(n)[]): seq(a(n), n=1..35); CROSSREFS Cf. A213224, A218338. Sequence in context: A307020 A071525 A157583 * A085319 A123032 A132305 Adjacent sequences:  A218358 A218359 A218360 * A218362 A218363 A218364 KEYWORD nonn AUTHOR Alois P. Heinz, Oct 27 2012 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 26 13:24 EDT 2022. Contains 354883 sequences. (Running on oeis4.)