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Primes p such that the largest Dyck path of the symmetric representation of sigma(p) does not touch the largest Dyck path of the symmetric representation of sigma(p+1).
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%I #14 Aug 04 2021 16:42:37

%S 3,5,7,11,17,19,23,29,31,41,47,53,59,71,79,83,89,103,107,127,131,139,

%T 149,167,179,191,197,199,223,227,233,239,251,263,269,271,293,307,311,

%U 359,367,379,383,389,419,431,439,449,461,463,467,479,499,503,509,521

%N Primes p such that the largest Dyck path of the symmetric representation of sigma(p) does not touch the largest Dyck path of the symmetric representation of sigma(p+1).

%C This property of a(n) is because the symmetric representation of sigma(a(n)+1) has only one part.

%C First differs from both A085498 and A225223 at a(40).

%Y Primes in A343621.

%Y Cf. A000040, A000203, A085498, A174973, A196020, A225223, A235791, A236104, A237270, A237271, A237591, A237593, A238443, A239931, A239932, A239933, A239934, A262626.

%K nonn

%O 1,1

%A _Omar E. Pol_, Aug 04 2021