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Largest known term is 446185740 (see b-file). No more terms < 10^9.
Donovan Johnson, Table of n, a(n) for n=2..20150
68 is in this sequence because no 6-almost prime and a prime sum to 68. 69 is not in this sequence because the sum of 64 (6-almost prime) and 5 (prime) is 69.
Cf. A000040, A046306, A130588, A146295, A146296.
Sequence in context: A153671 A090107 A130696 * A144972 A166719 A272159
Adjacent sequences: A146294 A146295 A146296 * A146298 A146299 A146300
Donovan Johnson, Nov 05 2008