A084430 Smallest prime with "n^3" as central digit(s).

101, 113, 181, 1277, 2647, 11251, 12161, 23431, 15121, 17291, 410009, 213319, 117281, 421973, 127447, 233759, 240967, 249131, 158329, 168599, 180001, 192611, 1106489, 1121671, 2138249, 2156251, 1175767, 1196837, 2219527, 2243893, 1270001, 3297911, 2327681

Offset

0,1

Links

Robert Israel, Table of n, a(n) for n = 0..10000

Formula

a(n) = A084413(n^3). - Sean A. Irvine, Apr 14 2026

Maple

f:= proc(n) local k, r, p, d;
      for k from 1 do
        d:= 1+ilog10(k);
        r:= tcat(k, n)*10^d;
        p:= nextprime(r);
        if p - r < 10^d then return p fi
      od
end proc:
f(0):= 101:
map(f, [$0..100]); # Robert Israel, Apr 17 2026

Prog

(PARI) a(n) = {n = n^3; for (i = 1, 9, forstep (j=1, 9, 2, v = j + 10*n + i*10^(1+length(Str(n))); if (isprime(v), return (v)); ); ); } \\ Michel Marcus, Oct 05 2013

Crossrefs

Cf. A038370, A084413, A069691.

Sequence in context: A164937 A105992 A038370 * A182693 A328996 A046075

Adjacent sequences: A084427 A084428 A084429 * A084431 A084432 A084433

Keyword

easy,nonn,base

Author

Zak Seidov, Jun 27 2003

Extensions

More terms from Michel Marcus, Oct 05 2013

Status

approved