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%I #2 Jul 11 2010 03:00:00
%S 13331,1022201,1311131,3001003,3002003,100707001,102272201,103212301,
%T 103323301,103333301,104111401,105202501,105313501,105323501,
%U 106060601,111181111,111191111,112494211,121080121,140505041,160020061,160161061
%N Palindromic primes p(k) = palprime(k) such that their sum of digits ("sod") equals sum of digits of their palprime index k.
%C p(k) = palprime(k) (see A002385) with sod(p(k)) = sod(k)
%C List of (p(k),k):
%C (13331,29) (1022201,116) (1311131,173) (3001003,304) (3002003,305)
%C (100707001,790) (102272201,818) (103212301,832) (103323301,835) (103333301,836)
%C (104111401,850) (105202501,862) (105313501,865) (105323501,866) (106060601,875)
%C (111181111,961) (111191111,962) (112494211,979) (121080121,1096) (140505041,1379)
%C (160020061,1672) (160161061,1678) (160171061,1679) (181111181,1958) (300151003,2209)
%C (310131013,2344) (313222313,2387) (320444023,2488) (321242123,2495) (341040143,2765)
%C (341222143,2767) (342020243,2774) (342202243,2776) (342212243,2777) (342313243,2779)
%C (343050343,2788) (700090007,3488) (730111037,3884) (910212019,4858)
%D A. H. Beiler: Recreations in the Theory of Numbers: The Queen of Mathematical Entertains. Dover Publications, New York, 1964
%D M. Gardner: Mathematischer Zirkus , Ullstein Berlin-Frankfurt/Main-Wien, 1988
%D K. G. Kroeber: Ein Esel lese nie. Mathematik der Palindrome, Rowohlt Tb., Hamburg, 2003
%e p(1) = 13331 = palprime(29), sod(p(1)) = 1+3+3+3+1 = 11 = sod(29), first term
%e p(8) = 103212301 = palprime(832), sod(p(8)) = 1+0+3+2+1+2+3+1 = 13 = 8+3+2 = sod(832), 8th term
%e p(?) = 156300010003651 = palprime(99643), sod(p(?)) = 31 = sod(99733)
%e Note successive p(i) and p(i+1) which are also consecutive palindromic primes (i = 4, 9, 13, 16, 22, 33)
%Y A000213, A002385, A033548, A155214, A176111
%K base,nonn
%O 1,1
%A Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), Apr 18 2010
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