

A164024


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


2



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
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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



