login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

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

License Agreements, Terms of Use, Privacy Policy .

Last modified June 29 10:13 EDT 2017. Contains 288859 sequences.