A348325 Number of compositions (ordered partitions) of n into two or more distinct primes.
0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 8, 0, 8, 2, 8, 8, 10, 24, 16, 8, 16, 38, 16, 60, 18, 62, 46, 66, 160, 90, 138, 98, 70, 122, 306, 126, 314, 150, 362, 278, 588, 900, 602, 302, 654, 1142, 888, 1758, 892, 1226, 950, 2160, 1230, 3378, 1444, 2372, 2100, 4644, 7416, 5238, 6966
Offset: 0