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A073508 Number of primes == 9 (mod 10) less than 10^n. 4
0, 5, 38, 303, 2390, 19593, 166032, 1440186, 12711333, 113761326 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

This and the related sequences A073505-A073517 and A002280, A073548-A073565 are included because there is interest in the distribution of primes by their initial or final digits.

LINKS

Eric Weisstein's World of Mathematics, Modular Prime Counting Function

EXAMPLE

a(2)=5 because there are 5 primes == 9 (mod 10) less than 10^2. They are 19, 29, 59, 79 and 89.

MATHEMATICA

c = 0; k = 9; Do[While[k < 10^n, If[PrimeQ[k], c++ ]; k += 10]; Print[c], {n, 1, 10}]

CROSSREFS

Cf. A073509 to A073517. A073505(n) + A073506(n) + A073507(n) + A073508(n) + 1 = A006880(n).

Sequence in context: A027323 A110079 A110082 * A113207 A158266 A098937

Adjacent sequences:  A073505 A073506 A073507 * A073509 A073510 A073511

KEYWORD

base,nonn

AUTHOR

Shyam Sunder Gupta (guptass(AT)rediffmail.com), Aug 14 2002

EXTENSIONS

Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 03 2002

a(10) from Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 22 2003

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Last modified February 15 03:22 EST 2012. Contains 205694 sequences.