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 A077345 a(n) is the n-th prime whose decimal expansion begins with the decimal expansion of n. 4
 11, 23, 37, 401, 509, 617, 719, 829, 953, 1033, 1171, 1279, 1373, 1483, 15013, 1697, 17021, 18049, 19001, 20051, 21067, 22031, 23027, 24097, 25127, 26107, 27103, 28123, 29153, 30161, 31159, 32189, 33161, 34259, 35171, 36241, 37243, 38299, 39241, 40237, 41263 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Original name was: Final terms of rows in A077344. Subsidiary sequence: There can be a rearrangement of primes in groups so that the n-th group contains n primes beginning with n and not occurring earlier. E.g. the initial term of row 11 would be 113 and not 11. LINKS Alois P. Heinz, Table of n, a(n) for n = 1..1000 Index entries for primes involving decimal expansion of n MAPLE u:= (h, t)-> select(isprime, [seq(h*10^t+k, k=0..10^t-1)]): A:= proc(n, k) local l, p; l:= proc() [] end; p:= proc() -1 end; while nops(l(k)) A(n\$2): seq(a(n), n=1..45); # Alois P. Heinz, Sep 30 2015 MATHEMATICA u[h_, t_] := Select[Table[h*10^t + k, {k, 0, 10^t - 1}], PrimeQ]; A[n_, k_] := Module[{l, p}, l[_] = {}; p[_] = -1; While[Length[l[k]] < n, p[k] = p[k] + 1; l[k] = Join[l[k], u[k, p[k]]]]; l[k][[n]]]; a[n_] := A[n, n]; Table[a[n], {n, 1, 45}] (* Jean-François Alcover, Oct 25 2021, after Alois P. Heinz *) CROSSREFS Cf. A077344. Main diagonal of A262369. Sequence in context: A275591 A250665 A339080 * A130282 A019356 A046440 Adjacent sequences: A077342 A077343 A077344 * A077346 A077347 A077348 KEYWORD base,easy,nonn AUTHOR Amarnath Murthy, Nov 05 2002 EXTENSIONS More terms and new name from Alois P. Heinz, Sep 30 2015 STATUS approved

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Last modified December 5 23:11 EST 2023. Contains 367594 sequences. (Running on oeis4.)