A072712 Primes p such that p divides the (right) concatenation of all numbers from 1 to p written in base 10 (most significant digit on left).

2, 3, 5, 8167, 371321

Offset

1,1

Comments

Right concatenation, normal order.

Primes in A029455. - Derek Orr, Oct 04 2014

Links

Table of n, a(n) for n=1..5.

Carlos Rivera, Puzzle 190. A follow up for the puzzle 188, The Prime Puzzles & Problems Connection.

Example

p=17 is not a term since 1234567891011121314151617 is not divisible by 17.

Prog

(PARI) p=""; n=1; while(n<10^4, p=concat(p, Str(n)); if(eval(p)%n==0&&isprime(n), print1(n, ", ")); n++) \\ Derek Orr, Oct 04 2014

Crossrefs

Cf. A029447-A029542, A061931-A061978.

Sequence in context: A115835 A089678 A079014 * A046476 A263429 A175309

Adjacent sequences: A072709 A072710 A072711 * A072713 A072714 A072715

Keyword

base,more,nonn

Author

Jeff Heleen, Aug 07 2002

Extensions

Another term from Jeff Heleen, Oct 11 2009

Status

approved