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 A065112 Smallest prime whose decimal expansion ends (nontrivially) with the n-th prime; or 0 if no such prime exists. 3
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified September 15 03:44 EDT 2024. Contains 375931 sequences. (Running on oeis4.)