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 A331417 Maximum sum of primes of the parts of an integer partition of n. 4
 0, 2, 4, 6, 8, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS For n > 4, a(n) = prime(n). LINKS FORMULA a(n) = A331418(n) + n - 1. MATHEMATICA Table[Max@@Table[Total[Prime/@y], {y, IntegerPartitions[n]}], {n, 0, 10}] CROSSREFS Converges to A000040. Row lengths of A331416. The corresponding minimum is A007494. Partitions whose sum of primes is divisible by their sum are A331379. Cf. A000607, A001414, A014689, A056239, A179437, A330950, A330953, A330954, A331381, A331383, A331385, A331387, A331415, A331418. Sequence in context: A027919 A174058 A186382 * A077473 A200738 A129896 Adjacent sequences:  A331414 A331415 A331416 * A331418 A331419 A331420 KEYWORD nonn AUTHOR Gus Wiseman, Jan 17 2020 STATUS approved

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Last modified September 16 21:28 EDT 2021. Contains 347473 sequences. (Running on oeis4.)