A065112 Smallest prime whose decimal expansion ends (nontrivially) with the n-th prime; or 0 if no such prime exists.

0, 13, 0, 17, 211, 113, 317, 419, 223, 229, 131, 137, 241, 443, 347, 353, 359, 461, 167, 271, 173, 179, 283, 389, 197, 5101, 1103, 5107, 1109, 2113, 4127, 2131, 2137, 4139, 11149, 1151, 4157, 1163, 3167, 6173, 2179, 1181, 3191, 1193, 5197, 6199, 4211

Offset

1,2

Comments

a(1) and a(3) (respectively for primes 2 and 5) are trivially zero. All other terms are nonzero by Dirichlet's theorem on arithmetic progressions. - Joerg Arndt, Jun 06 2021

Links

Table of n, a(n) for n=1..47.

Wikipedia, Dirichlet's theorem on arithmetic progressions

Mathematica

f[n_] := (k = 1; While[a = ToExpression[ ToString[k] <> ToString[n]]; ! PrimeQ[a], k++ ]; a); Table[ f[ Prime[n]], {n, 4, 50} ]

Crossrefs

Cf. A030670.

Sequence in context: A345191 A073867 A114782 * A114783 A094902 A252056

Adjacent sequences: A065109 A065110 A065111 * A065113 A065114 A065115

Keyword

nonn,base

Author

Robert G. Wilson v, Nov 12 2001

Status

approved