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%I #5 May 11 2019 02:22:31
%S 2,2,3,2,3,2,3,4,5,2,3,2,3,4,5,2,3,2,3,4,5,2,3,4,5,6,7,2,3,2,3,4,5,6,
%T 7,2,3,4,5,2,3,2,3,4,5,2,3,4,5,6,7,2,3,4,5,6,7,2,3,2,3,4,5,6,7,2,3,4,
%U 5,2,3,2,3,4,5,6,7,2,3,4,5,2,3,4,5,6
%N a(n) = n - prevprime(n - 1), where prevprime(n) is the largest prime < n.
%C a(n) is the smallest part appearing in the single partition of n into two parts whose largest prime part is < n - 1.
%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F a(n) = n - A151799(n - 1).
%e a(11) = 4; 11 has 5 partitions into 2 parts: (10,1), (9,2), (8,3), (7,4) and (6,5). The single partition containing the largest prime part < 10 is (7,4) and 4 is the smallest part in this partition, so a(11) = 4.
%t Table[n - NextPrime[n - 1, -1], {n, 4, 100}]
%Y Cf. A151799.
%K nonn,easy
%O 4,1
%A _Wesley Ivan Hurt_, May 10 2019
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