|
| |
|
|
A073515
|
|
Number of primes less than 10^n with initial digit 3.
|
|
0
| |
|
|
1, 3, 19, 139, 1097, 8960, 75290, 651085, 5735086, 51247361, 463196868, 4225763390, 38851672813, 359541975662, 3345924530873, 31288310624754, 293820812588401, 2769490109678920, 26191046215879444, 248421640738371325
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
LINKS
| Thomas R. Nicely, Some Results of Computational Research in Prime Numbers
|
|
|
EXAMPLE
| a(2)=3 because there are 3 primes up to 10^2 whose initial digit is 3 (namely 3, 31 and 37).
|
|
|
MATHEMATICA
| f[n_] := f[n] = PrimePi[4*10^n] - PrimePi[3*10^n] + f[n - 1]; f[0] = 1; Table[ f[n], {n, 0, 12}]
|
|
|
CROSSREFS
| Cf. A073509 to A073517, their sum is A006880.
Sequence in context: A094662 A115750 A156894 * A074559 A027314 A025571
Adjacent sequences: A073512 A073513 A073514 * A073516 A073517 A073518
|
|
|
KEYWORD
| nonn,base,hard
|
|
|
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
|
| |
|
|
