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A024935 a(n) = minimal length of any partition of n into distinct primes. 0
1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 2, 3, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 3, 2, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 2, 3, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 3, 2, 1, 2, 2, 2, 1, 2, 2, 2, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,3

COMMENTS

Assuming Goldbach's conjecture, a(n) <= 3. In particular, a(p)=1; a(2*n)=2 for n>1; a(p+2)=2 provided p+2 is not prime; otherwise a(n)=3. - Sean A. Irvine, Jul 29 2019

LINKS

Table of n, a(n) for n=2..117.

CROSSREFS

Sequence in context: A072410 A072491 A051034 * A082477 A036430 A323305

Adjacent sequences:  A024932 A024933 A024934 * A024936 A024937 A024938

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

a(2)-a(6) prepended by Sean A. Irvine, Jul 29 2019

STATUS

approved

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Last modified October 22 19:53 EDT 2019. Contains 328319 sequences. (Running on oeis4.)