A164024 Largest of smallest parts in partitions of n into exactly three primes.

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

Offset

6,1

Comments

a(even) = 2.

a(n)<=n/3; equality occurs at n= 3*prime, and then a(n) are new records 2,3,5,7,11,.. - Zak Seidov, Aug 09 2009

Links

Table of n, a(n) for n=6..94.

Index entries for sequences related to Goldbach conjecture

Example

a(16) = max{min(2,3,11),min(2,7,7)} = max{2,2} = 2;
a(17) = max{min(2,2,13),min(3,3,11),min(3,7,7),min(5,5,7)} = max{2,2,3,5} = 5.

Crossrefs

A164023, A068307.

Sequence in context: A252229 A318490 A071215 * A145193 A292585 A175872

Adjacent sequences: A164021 A164022 A164023 * A164025 A164026 A164027

Keyword

nonn

Author

Reinhard Zumkeller, Aug 08 2009

Status

approved