A105581 Primes whose indices are palindromic.

2, 3, 5, 7, 11, 13, 17, 19, 23, 31, 79, 137, 193, 257, 317, 389, 457, 523, 547, 607, 661, 739, 811, 877, 947, 1019, 1087, 1153, 1231, 1301, 1399, 1459, 1531, 1601, 1667, 1747, 1831, 1907, 1999, 2081, 2141, 2239, 2309, 2381, 2447, 2549, 2647, 2699, 2777, 2851

Offset

1,1

Links

Table of n, a(n) for n=1..50.

Example

prime(22) = 79 prime(33) = 137 the 11th and 12th entries.

Mathematica

Prime[#]&/@Select[Range[500], PalindromeQ] (* Harvey P. Dale, Nov 24 2022 *)

Prog

(PARI) g(n) = for(x=1, n, if(ispal(x), print1(prime(x)", "))) ispal(n) = { local(len, s1, s2); n=Str(n); len=length(n)\2; s1 = left(n, len); s2 = right(n, len); if(s1 == rev(s2), return(1), return(0)) } left(str, n) = \ Get the left n characters from string str. { local(v, tmp, x); v =""; tmp = Vec(str); ln=length(tmp); if(n > ln, n=ln); for(x=1, n, v=concat(v, tmp[x]); ); return(v) } right(str, n) = \ Get the right n characters from string str. { local(v, ln, s, x); v =""; tmp = Vec(str); ln=length(tmp); if(n > ln, n=ln); s = ln-n+1; for(x=s, ln, v=concat(v, tmp[x]); ); return(v) } rev(str) = \ Get the reverse of the input string { local(tmp, s, j); tmp = Vec(Str(str)); s=""; forstep(j=length(tmp), 1, -1, s=concat(s, tmp[j])); return(s) }

Crossrefs

Cf. A258433.

Sequence in context: A219528 A341660 A033875 * A258433 A262363 A050264

Adjacent sequences: A105578 A105579 A105580 * A105582 A105583 A105584

Keyword

easy,nonn,base

Author

Cino Hilliard, May 03 2005

Status

approved