id:A014580 - OEIS Search Results

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Binary irreducible polynomials (primes in ring GF(2)[ X ]), evaluated at X=2.

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2, 3, 7, 11, 13, 19, 25, 31, 37, 41, 47, 55, 59, 61, 67, 73, 87, 91, 97, 103, 109, 115, 117, 131, 137, 143, 145, 157, 167, 171, 185, 191, 193, 203, 211, 213, 229, 239, 241, 247, 253, 283, 285, 299, 301, 313, 319, 333, 351, 355, 357, 361, 369, 375 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Or, binary irreducible polynomials, interpreted as binary vectors, then written in base 10.`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..1377 (through degree 13)` `Index entries for sequences operating on GF(2)[X]-polynomials`
	EXAMPLE	`x^4 + x^3 + 1 -> 16+8+1 = 25. Or, x^4 + x^3 + 1 -> 11001 (binary) = 25 (decimal).`
	CROSSREFS	`Cf. A000031, A001037, A048720. Written in binary: A058943.` `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.` `Sequence in context: A127430 A106483 A040116 this_sequence A091206 A038963 A117112` `Adjacent sequences: A014577 A014578 A014579 this_sequence A014581 A014582 A014583`
	KEYWORD	`nonn`
	AUTHOR	`petry(AT)accessone.com (David Petry)`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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