A075361 a(n) = the n-th prime with sum of decimal digits = n, or 0 if no such number exists.

0, 11, 0, 211, 131, 0, 313, 503, 0, 433, 353, 0, 643, 653, 0, 1069, 881, 0, 1693, 2459, 0, 3469, 4289, 0, 6379, 6983, 0, 9883, 9857, 0, 19759, 32999, 0, 49597, 58679, 0, 79867, 89669, 0, 167899, 268979, 0, 467899, 498689, 0, 699697, 799859, 0, 998779, 2499989

Offset

1,2

Comments

A triangular array is defined where the n-th row contains n primes (wherever possible) with digit sum n:

-

2 11

3 - -

13 31 103 211

5 23 41 113 131

- - - - - -

7 43 61 151 223 241 313

...The sequence contains the rightmost term of the n-th row, a zero if the row is empty. - Amarnath Murthy, Apr 12 2003

Links

Table of n, a(n) for n=1..50.

Formula

a(3n) = 0.

Example

a(7) = 313, 313 is the 7th prime with digit sum 7. The smaller six primes are 7, 43, 61, 151, 223, and 241.

Crossrefs

Sequence in context: A287468 A110417 A240560 * A082258 A287630 A073864

Adjacent sequences: A075358 A075359 A075360 * A075362 A075363 A075364

Keyword

nonn,base,less

Author

Amarnath Murthy, Sep 19 2002

Extensions

More terms from David Wasserman, Jan 16 2005

a(7) corrected by Sean A. Irvine, Feb 16 2025

Status

approved