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a(n) = i + j - k, where n = p(i) + p(j) - p(k), such that p(i), p(j), and p(k) are distinct primes, i + j - k = minimum, and n >= 3.
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%I #5 Jun 24 2021 01:47:13

%S 1,2,3,2,3,3,4

%N a(n) = i + j - k, where n = p(i) + p(j) - p(k), such that p(i), p(j), and p(k) are distinct primes, i + j - k = minimum, and n >= 3.

%C Is it true for all n : n = p(i) + p(j) - p(k)?

%e For n = 6, 6 = p(1) + p(5) - p(4) = 2 + 11 - 7; so a(6) = 1 + 5 - 4 = 2.

%Y Cf. A000040, A038134.

%K easy,nonn,uned

%O 3,2

%A _Ctibor O. Zizka_, Apr 19 2008