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A073509 Number of primes less than 10^n with initial digit 9. 13
0, 1, 15, 127, 1006, 8230, 70320, 614821, 5453140, 48982456, 444608278, 4070532710, 37535715441, 348245215460, 3247889171908, 30429496751905, 286235215995588, 2702000272361599, 25586688305447928 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

LINKS

Thomas R. Nicely, Some Results of Computational Research in Prime Numbers

EXAMPLE

a(2) = 1 because there is 1 prime less than 100 whose initial digit is 9 i.e. 97.

MATHEMATICA

f[n_] := f[n] = PrimePi[10^(n + 1)] - PrimePi[9*10^n] + f[n - 1]; f[0] = 0; Table[f[n], {n, 0, 12}]

CROSSREFS

Cf. A073509 to A073517, their sum is A006880.

Sequence in context: A071080 A069975 A027779 * A198850 A127595 A056579

Adjacent sequences:  A073506 A073507 A073508 * A073510 A073511 A073512

KEYWORD

base,hard,nonn

AUTHOR

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

EXTENSIONS

Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 29 2002

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Last modified February 16 01:56 EST 2012. Contains 205860 sequences.