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A094741 Number of primes of the form k+1 where k is coprime to n, k < n. 1
0, 1, 2, 1, 3, 1, 4, 1, 3, 1, 5, 1, 6, 1, 3, 1, 7, 1, 8, 1, 5, 1, 9, 1, 8, 1, 6, 1, 10, 1, 11, 1, 6, 1, 8, 1, 12, 1, 7, 1, 13, 1, 14, 1, 6, 1, 15, 1, 13, 1, 9, 1, 16, 1, 12, 1, 10, 1, 17, 1, 18, 1, 10, 1, 13, 1, 19, 1, 10, 1, 20, 1, 21, 1, 9, 1, 16, 1, 22, 1, 12, 1, 23, 1, 18, 1, 12 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

If n is a prime, a(n) = pi(n). If n is even, a(n) = 1.

MATHEMATICA

A094741[ n_ ] := Length[ Select[ Select[ Range[ n - 1 ], GCD[ #, n ] == 1 & ] + 1, PrimeQ ] ]; Table[ A094741[ i ], {i, 1, 100} ]

CROSSREFS

Sequence in context: A055396 A057499 A064839 * A029234 A102613 A097019

Adjacent sequences:  A094738 A094739 A094740 * A094742 A094743 A094744

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), May 24 2004

EXTENSIONS

More terms and Mathematica program from Keith Schneider, Jul 03 2007

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Last modified February 14 21:59 EST 2012. Contains 205667 sequences.