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 A171000 Irreducible Boolean polynomials written as binary vectors. 3
 1, 10, 11, 101, 1001, 1011, 1101, 10001, 10011, 10111, 11001, 11101, 100001, 100011, 100101, 100111, 101001, 101011, 110001, 110101, 111001, 1000001, 1000011, 1000101, 1000111, 1001011, 1001101, 1001111, 1010001, 1010011, 1010111, 1011001, 1011101 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS These are the polynomials enumerated in A169912, and written in base 10 in A067139. This sequence consists of 1 and the lunar primes in base 2 arithmetic. To construct the lunar base 2 primes, start with 10, and repeatedly adjoin the next smallest binary number that is not a lunar base-2 multiple of any earlier number. - N. J. A. Sloane, Jan 26 2011 LINKS N. J. A. Sloane, Table of n, a(n) for n = 1..5655 D. Applegate, M. LeBrun and N. J. A. Sloane, Dismal Arithmetic [Note: we have now changed the name from "dismal arithmetic" to "lunar arithmetic" - the old name was too depressing] CROSSREFS Cf. A169912, A067139. Base 3 lunar primes: A130206, A170806. Sequence in context: A124387 A171796 A004685 * A222365 A041216 A094026 Adjacent sequences:  A170997 A170998 A170999 * A171001 A171002 A171003 KEYWORD nonn AUTHOR N. J. A. Sloane, Aug 31 2010 STATUS approved

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