[seqfan] conjectured largest number which is not the sum of an n-almost prime and a prime.

[Jonathan Post]

Connecting these seqs:
A130588  	 Integers which are not the sum of a 3-almost prime and a prime.
A146295  	 Integers which are not the sum of a 4-almost prime and a prime.
A146296  	 Integers which are not the sum of a 5-almost prime and a prime.
A146297  	 Integers which are not the sum of a 6-almost prime and a prime.

we get the following... ALL of whose values are conjectures, although
checked through 10^9

a(n) is the conjectured largest number which is not the sum of an
n-almost prime and a prime.
n=2,3,4,5,6: a(n) = 10, 300, 60060, 3573570, 446185740

These are not as artificial as they seem, as they derive from Chen's
approach to proving Goldbach's conjecture.