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%I #9 May 24 2012 05:49:14
%S 11,127,12197,135937,159319,11092727,11295029,11860867,12685619,
%T 14330747,14826809,15000211,15929741,16128487,18869743,19393931,
%U 124137569,126198073,127818127,129503629,138958219,150243409,154439939
%N Primes of concatenated form "1 n^3".
%C (1) It is conjectured that sequence is infinite.
%C (2) These are primes all with "leading" digit "1", they are concatenations of two cubic numbers: 1^3 and n^3, n is a natural.
%D Harold Davenport, Multiplicative Number Theory, Springer-Verlag New-York 1980
%D Leonard E. Dickson: History of the Theory of numbers, vol. I, Dover Publications 2005
%D Paulo Ribenboim, The New Book of Prime Number Records, Springer 1996
%H Vincenzo Librandi, <a href="/A168327/b168327.txt">Table of n, a(n) for n = 1..1000</a>
%F If n^3 is a d-digit number and d no multiple of 3, then p=10^d+n^3, where n is odd and no multiple of 5.
%F a(n) = c+10^A055642(c) where c=A167725(n). [From _R. J. Mathar_, Nov 23 2009]
%e (1) 10^1+1^3=11 = prime(5) = a(1).
%e (2) 10^2+3^3=127 = prime(31) = a(2).
%e (3) 10^4+13^3=12197 = prime(1458) = a(3).
%t Select[FromDigits[Join[{1},IntegerDigits[#]]]&/@(Range[500]^3),PrimeQ] _Harvey P. Dale_, May 16 2012
%Y Cf. A168147, A167535.
%K nonn,base
%O 1,1
%A Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), Nov 23 2009
%E Edited by _Charles R Greathouse IV_, Apr 24 2010
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