login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A073505 Number of primes == 1 (mod 10) less than 10^n. 4
0, 5, 40, 306, 2387, 19617, 166104, 1440298, 12711386, 113761519 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Also Pi(n,5,1)

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 == 1 (mod 10) less than 10^2. They are 11, 31, 41, 61 and 71.

MATHEMATICA

c = 0; k = 1; 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: A124545 A125729 A144069 * A145841 A123943 A067412

Adjacent sequences:  A073502 A073503 A073504 * A073506 A073507 A073508

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 17 02:31 EST 2012. Contains 205978 sequences.