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A331417
Maximum sum of primes of the parts of an integer partition of n.
5
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
OFFSET
0,2
COMMENTS
For n > 4, a(n) = prime(n).
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.
Sequence in context: A027919 A174058 A186382 * A077473 A200738 A129896
KEYWORD
nonn
AUTHOR
Gus Wiseman, Jan 17 2020
STATUS
approved