OFFSET
1,10
COMMENTS
Conjecture, for m>1: a(m)=0 iff n is an odd semiprime such that m-2 is not prime, i.e. m=A089268(k) for some k. - Reinhard Zumkeller, Oct 28 2003
LINKS
Eric Weisstein's World of Mathematics, Prime Partition.
EXAMPLE
n=20 = 2*2*5 = 13+5+2 = 11+7+2, all other partitions into 3 primes have fewer than or more than 3 parts, therefore a(20)=2.
MATHEMATICA
Table[Count[IntegerPartitions[n, {PrimeOmega[n]}], _?(AllTrue[#, PrimeQ]&)], {n, 100}] (* Harvey P. Dale, Jul 26 2023 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Oct 27 2003
STATUS
approved