Search: id:A002385
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%I A002385 M0670 N0247
%S A002385 2,3,5,7,11,101,131,151,181,191,313,353,373,383,727,757,787,797,919,
%T A002385 929,10301,10501,10601,11311,11411,12421,12721,12821,13331,13831,13931,
%U A002385 14341,14741,15451,15551,16061,16361,16561,16661,17471,17971,18181
%N A002385 Palindromic primes: prime numbers whose decimal expansion is a palindrome.
%C A002385 Every palindrome with an even number of digits is divisible by 11, so 
               11 is the only member of the sequence with an even number of digits. 
               - David Wasserman (wasserma(AT)spawar.navy.mil), Sep 09 2004
%D A002385 A. H. Beiler, Recreations in the Theory of Numbers, Dover, NY, 1964, 
               p. 228.
%D A002385 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002385 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A002385 Attila Olah, <a href="b002385.txt">Table of n, a(n) for n=1..100197</
               a>
%H A002385 K. S. Brown, <a href="http://www.mathpages.com/home/kmath359.htm">On 
               General Palindromic Numbers</a>
%H A002385 P. De Geest, <a href="http://www.worldofnumbers.com/palpri.htm">World!Of 
               Palindromic Primes</a>
%H A002385 I. Peterson, Math Trek, <a href="http://www.maa.org/mathland/mathtrek_5_10_99.html">
               Palindromic Primes</a>
%H A002385 M. Shafer, <a href="http://www.egr.msu.edu/~shafermi/primes">First 401066 
               Palprimes</a> [Broken link]
%H A002385 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PalindromicNumber.html">Link to a section of The World of Mathematics.</
               a>
%H A002385 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PalindromicPrime.html">Link to a section of The World of Mathematics.</
               a>
%H A002385 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               IntegerSequencePrimes.html">Integer Sequence Primes</a>
%H A002385 Wikipedia, <a href="http://en.wikipedia.org/wiki/Palindromic_prime">Palindromic 
               prime</a>
%p A002385 ff := proc(n) local i,j,k,s,aa,nn,bb,flag; s := n; aa := convert(s,string); 
               nn := length(aa); bb := ``; for i from nn by -1 to 1 do bb := cat(bb,
               substring(aa,i..i)); od; flag := 0; for j from 1 to nn do if substring(aa,
               j..j)<>substring(bb,j..j) then flag := 1 fi; od; RETURN(flag); end; 
               gg := proc(i) if ff(ithprime(i)) = 0 then RETURN(ithprime(i)) fi 
               end;
%p A002385 rev:=proc(n) local nn, nnn: nn:=convert(n,base,10): add(nn[nops(nn)+1-j]*10^(j-1),
               j=1..nops(nn)) end: a:=proc(n) if n=rev(n) and isprime(n)=true then 
               n else fi end: seq(a(n),n=1..20000); # rev is a Maple program to 
               revert a number - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 
               25 2007
%t A002385 Select[ Prime[ Range[ 2100 ] ], IntegerDigits[ # ] == Reverse[ IntegerDigits[ 
               # ] ] & ]
%Y A002385 A007500 = this sequence union A006567.
%Y A002385 Cf. A016041, A029732, A117697.
%Y A002385 Sequence in context: A052480 A083137 A077652 this_sequence A069217 A083139 
               A088562
%Y A002385 Adjacent sequences: A002382 A002383 A002384 this_sequence A002386 A002387 
               A002388
%K A002385 nonn,base,nice,easy
%O A002385 1,1
%A A002385 N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
%E A002385 More terms from Larry Reeves (larryr(AT)acm.org), Oct 25 2000

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