

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
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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 base2 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: A171796 A305379 A004685 * A222365 A041216 A094026
Adjacent sequences: A170997 A170998 A170999 * A171001 A171002 A171003


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Aug 31 2010


STATUS

approved



