A164023 Smallest of largest parts in partitions of n into exactly three primes.

2, 3, 3, 3, 5, 5, 5, 5, 7, 5, 7, 7, 11, 7, 11, 7, 13, 11, 11, 11, 13, 11, 13, 11, 17, 13, 17, 11, 19, 13, 17, 13, 19, 13, 19, 17, 23, 17, 23, 17, 31, 17, 23, 19, 29, 17, 31, 19, 29, 19, 31, 19, 37, 23, 29, 23, 31, 23, 31, 23, 41, 29, 37, 23, 37, 29, 41, 31, 41, 29, 37, 29, 47, 31

Offset: 6

Author

Reinhard Zumkeller, Aug 08 2009

Keywords

• nonn

Comments

a(n) >= floor(n/3); a(A001748(n)) = A000040(n).

Examples

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

Links

• R. Zumkeller, Table of n, a(n) for n = 6..2500
• Index entries for sequences related to Goldbach conjecture

Crossrefs

A164024, A068307.