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A122669 Number of nontrivial arithmetic progressions of primes between n and 2n. 0
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 5, 5, 5, 8, 8, 8, 8, 7, 8, 8, 8, 5, 6, 6, 6, 6, 6, 7, 8, 8, 10, 10, 10, 8, 8, 5, 5, 7, 7, 9, 9, 7, 8, 9, 9, 7, 7, 7, 8, 11, 11, 11, 12, 9, 9, 12, 12, 14, 14, 14, 16, 16, 16, 14, 15, 15, 15, 15, 15 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,27

COMMENTS

Count of subsets of at least 3 primes in range that are arithmetic progressions.

LINKS

Table of n, a(n) for n=1..95.

EXAMPLE

a(15)=1 because primes between 15 and 30 are {17, 19, 23, 29} and {17, 23, 29} is an arithmetic progression.

a(27)=a(28)=a(29)=3 because {29, 31, 37, 41, 43, 47, 53} includes {29, 41, 53}, {31, 37, 43}, {41, 47, 53}.

a(30)=4 because {31, 37, 41, 43, 47, 53, 59} includes {31, 37, 43}, {41, 47, 53}, {47, 53, 59}, {41, 47, 53,

59}.

CROSSREFS

Sequence in context: A165605 A230194 A128112 * A071942 A289189 A134849

Adjacent sequences:  A122666 A122667 A122668 * A122670 A122671 A122672

KEYWORD

nonn

AUTHOR

Giovanni Teofilatto, Sep 24 2006

EXTENSIONS

Edited and extended by Ray Chandler, Sep 26 2006

STATUS

approved

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Last modified October 23 22:23 EDT 2017. Contains 293828 sequences.