Search: id:A110456
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%I A110456
%S A110456 0,2,3,31,41,0,421,521,0,4231,5231,0,7321,8231,0,64231,74231,0,94321,
%T A110456 431021,0,754123,854213,0,5431021,6421013,0,8431021,9431021,0,65412103,
%U A110456 75411023,0,95421103,96412103,0,643110211,765324101
%N A110456 Largest prime obtained by concatenation of parts of a distinct partition 
               of n. 0 if no such number exist.
%C A110456 Conjecture a(n) = 0 only for n = 1, or n == 0 (mod 3), n is > 3. Subsidiary 
               sequence (hard): Number of primes generated by concatenation of distinct 
               partitions of n.
%e A110456 Distinct partitions of 10 are 10,(9,1), (8,2), (7,3),...(7,2,1),(6,3,
               1),(5,3,2),...(4,3,2,1), etc. (4231 is the largest number obtained 
               as a concatenation of (4,2,3,1).
%e A110456 a(10)=4231.
%Y A110456 Sequence in context: A074479 A136150 A155056 this_sequence A128348 A029973 
               A054551
%Y A110456 Adjacent sequences: A110453 A110454 A110455 this_sequence A110457 A110458 
               A110459
%K A110456 base,nonn
%O A110456 1,2
%A A110456 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 04 2005
%E A110456 Corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Feb 08 2008

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