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A077982 Min(P in Partitions(n), Sum(k in P, d(k))) where d(k) = number of divisors of k (A000005). +0
3
0, 1, 2, 2, 3, 2, 3, 2, 3, 3, 4, 2, 3, 2, 3, 4, 4, 2, 3, 2, 3, 4, 4, 2, 3, 3, 4, 4, 4, 2, 3, 2, 3, 4, 4, 4, 4, 2, 3, 4, 4, 2, 3, 2, 3, 4, 4, 2, 3, 3, 4, 4, 4, 2, 3, 4, 4, 4, 4, 2, 3, 2, 3, 4, 4, 4, 4, 2, 3, 4, 4, 2, 3, 2, 3, 4, 4, 4, 4, 2, 3, 4, 4, 2, 3, 4, 4, 4, 4, 2, 3, 4, 4, 4, 4, 4, 4, 2, 3, 4, 4, 2, 3, 2, 3 (list; graph; listen)
OFFSET

0,3

COMMENT

For sufficiently large n, it is known that n is the sum of three primes, implying a(n) <= 6.

Goldbach's conjecture implies a(n) <= 4 for n even and a(n) <= 5 for n odd.

REFERENCES

Suggested by Amarnath Murthy.

LINKS

Index entries for two-way infinite sequences

CROSSREFS

Cf. A084344, A000005.

Sequence in context: A049237 A162361 A073855 this_sequence A099427 A059964 A087458

Adjacent sequences: A077979 A077980 A077981 this_sequence A077983 A077984 A077985

KEYWORD

nonn

AUTHOR

David W. Wilson, Jun 21 2003

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.


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