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A106002 a(n)=1 if there is a number of the form 6k+3 such that prime(n) < 6k+3 < prime(n+1), otherwise 0. +0
3
0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1 (list; graph; listen)
OFFSET

1,1

COMMENT

Except for first two primes and twin primes, there is always at least one number of the form 6k+3 between two successive primes.

EXAMPLE

a(3)=0 because between prime(3)=5 and prime(4)=7 there are no numbers of the form 6k+3;

a(4)=1 because between prime(4)=7 and prime(5)=11 there is 9=6*1+3.

CROSSREFS

Same as A100810 after first term.

Sequence in context: A072783 A064911 A099618 this_sequence A066247 A151774 A095792

Adjacent sequences: A105999 A106000 A106001 this_sequence A106003 A106004 A106005

KEYWORD

easy,nonn

AUTHOR

Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Apr 29 2005

EXTENSIONS

Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 17 2006

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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