A348324 Number of compositions (ordered partitions) of n into two or more primes.
0, 0, 0, 0, 1, 2, 2, 5, 6, 10, 16, 19, 35, 45, 72, 105, 152, 231, 332, 500, 732, 1081, 1604, 2351, 3493, 5136, 7595, 11212, 16534, 24441, 36039, 53242, 78573, 115989, 171264, 252754, 373214, 550862, 813251, 1200554, 1772207, 2616337, 3862121, 5701552, 8416695, 12424934
Offset: 0