Edit of A014580.
Just added one %Y-line, one %H-line and the %E-line.
Plus that the line-length-limits allowed two terms more:

%I A014580
%S A014580 2,3,7,11,13,19,25,31,37,41,47,55,59,61,67,73,87,91,97,103,109,115,
%T A014580 117,131,137,143,145,157,167,171,185,191,193,203,211,213,229,239,241,
%U A014580 247,253,283,285,299,301,313,319,333,351,355,357,361,369,375,379,391
%N A014580 Binary irreducible polynomials (primes in ring GF(2)[ X ]), evaluated at X=2.
%C A014580 Or, binary irreducible polynomials, interpreted as binary vectors, then written in base 10.
%e A014580 x^4 + x^3 + 1 -> 16+8+1 = 25. Or, x^4 + x^3 + 1 -> 11001 (binary) = 25 (decimal).
%H A014580 <a href="http://www.research.att.com/~njas/sequences/Sindx_Ge.html#GF2X">Index entries for sequences operating on GF(2)[X]-polynomials</a>
%Y A014580 Cf. A000031, A001037, A048720. Written in binary: A058943.
%Y A014580 Characteristic function: A091225. Inverse: A091227. a(n) = A091202(A000040(n)). Almost complement of A091242. Union of A091206 & A091214, and also of A091250 & A091252. First differences: A091223. Apart from a(2)=3, a subset of A000069.
%Y A014580 Sequence in context: A045322 A023221 A040116 this_sequence A038963 A038895 A040152
%Y A014580 Adjacent sequences: A014577 A014578 A014579 this_sequence A014581 A014582 A014583
%K A014580 nonn
%O A014580 1,1
%A A014580 petry(AT)accessone.com (David Petry)
%E A014580 Starting offset changed from 0 to 1 by Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), Jan 03 2004. (To conform with the sequences A058943 and A000040).