This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A331417 #8 Jan 17 2020 17:41:57 %S A331417 0,2,4,6,8,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83, %T A331417 89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173, %U A331417 179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269 %N A331417 Maximum sum of primes of the parts of an integer partition of n. %C A331417 For n > 4, a(n) = prime(n). %F A331417 a(n) = A331418(n) + n - 1. %t A331417 Table[Max@@Table[Total[Prime/@y],{y,IntegerPartitions[n]}],{n,0,10}] %Y A331417 Converges to A000040. %Y A331417 Row lengths of A331416. %Y A331417 The corresponding minimum is A007494. %Y A331417 Partitions whose sum of primes is divisible by their sum are A331379. %Y A331417 Cf. A000607, A001414, A014689, A056239, A179437, A330950, A330953, A330954, A331381, A331383, A331385, A331387, A331415, A331418. %K A331417 nonn %O A331417 0,2 %A A331417 _Gus Wiseman_, Jan 17 2020