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

Author

Reinhard Zumkeller, Aug 08 2009

Keywords

• nonn

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

Examples

			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.
		

Links

• Index entries for sequences related to Goldbach conjecture

Crossrefs

A164023, A068307.