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A046941 Primes p(n) which are palindromes and their indices n are also palindromes. 6
2, 3, 5, 7, 11, 143787341, 11853735811 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..7.

Eric Weisstein's World of Mathematics, Palindromic Prime.

FORMULA

a(n) = P_A046942(n).

MATHEMATICA

NextPalindrome[n_] := Block[ {l = Floor[ Log[10, n] + 1], idn = IntegerDigits[n]}, If[ Union[ idn] == {9}, Return[n + 2], If[l < 2, Return[n + 1], If[ FromDigits[ Reverse[ Take[ idn, Ceiling[l/2]]]] FromDigits[ Take[ idn, -Ceiling[l/2]]], FromDigits[ Join[ Take[ idn, Ceiling[l/2]], Reverse[ Take[ idn, Floor[l/2]]] ]], idfhn = FromDigits[ Take[ idn, Ceiling[l/2]]] + 1; idp = FromDigits[ Join[ IntegerDigits[ idfhn], Drop[ Reverse[ IntegerDigits[ idfhn]], Mod[l, 2]]]] ]]]];

p = 0; Do[p = NextPalindrome[p]; While[ !PrimeQ[p], p = NextPalindrome[ p]]; q = IntegerDigits[ PrimePi[ p]]; If[Reverse[q] == q, Print[{p, FromDigits[q]}]], {n, 10^4}] (from Robert G. Wilson v Feb 03 2005)

palQ[n_] := Reverse[x = IntegerDigits[n]] == x; t = {}; Do[p = Prime[i]; If[palQ[i] && palQ[p], AppendTo[t, p]], {i, 9*10^6}]; t (* Jayanta Basu, Jun 23 2013 *)

CROSSREFS

Cf. A046942, A103357, A103358, A103402, A103403.

Sequence in context: A114835 A091689 A046482 * A116692 A114983 A118950

Adjacent sequences:  A046938 A046939 A046940 * A046942 A046943 A046944

KEYWORD

base,nonn

AUTHOR

Carlos Rivera

EXTENSIONS

11853735811 from Giovanni Resta, May 14 2003

STATUS

approved

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Last modified October 25 22:07 EDT 2014. Contains 248558 sequences.