A355250 Largest prime appearing among the "middle parts" of the partitions of n into (exactly) 3 prime parts.

2, 2, 3, 3, 3, 3, 5, 5, 5, 5, 7, 7, 5, 7, 7, 7, 7, 7, 11, 11, 11, 11, 13, 13, 11, 13, 13, 13, 13, 13, 17, 17, 17, 17, 19, 19, 17, 19, 19, 19, 13, 19, 23, 23, 19, 23, 19, 23, 23, 23, 23, 23, 19, 23, 29, 29, 29, 29, 31, 31, 23, 31, 29, 31, 31, 31, 29, 31, 31, 31, 37, 37, 29, 37

Offset

6,1

Links

Harvey P. Dale, Table of n, a(n) for n = 6..1000

Index entries for sequences related to partitions

Example

a(17) = 7; of the 4 ways to write 17 as the sum of 3 primes, 7 is the largest "middle" part: 2+2+13 = 3+3+11 = 3+7+7 = 5+5+7.

Mathematica

Table[Max[Select[IntegerPartitions[n, {3}], AllTrue[#, PrimeQ]&][[;; , 2]]], {n, 6, 90}] (* Harvey P. Dale, Jan 31 2025 *)

Crossrefs

Cf. A164024.

Sequence in context: A143997 A160903 A124229 * A055377 A157524 A239496

Adjacent sequences: A355247 A355248 A355249 * A355251 A355252 A355253

Keyword

nonn

Author

Wesley Ivan Hurt, Jun 25 2022

Status

approved