3-way partition of integers:
A392120 = s(1) = (2, 6, 8, 9, 10, 11, 14, 15, 17, 18, 19, 20, 21, 23, 27, 30, 31, 33, ...)
A075191 = s(2) = (4, 12, 16, 26, 28, 36, 48, 58, 66, 68, 74, 78, 102, 106, 112, 117, ...)
A392122 = s(3) = (1, 3, 5, 7, 13, 22, 24, 25, 29, 32, 39, 42, 44, 45, 50, 52, 56, 59, ...)
The primes indexed by s(1), s(2), s(3) are partitioned into three sequences as follows:
prime(s(1)) = (3, 13, 19, 23, 29, 31, 43, 47, 59, 61, 67, 71, 73, 83, 103, 113, 127, ...)
prime(s(2)) = (7, 37, 53, 101, 107, 151, 223, 271, 317, 337, 373, 397, 557, 577, ...)
prime(s(3)) = (2, 5, 11, 17, 41, 79, 89, 97, 109, 131, 167, 181, 193, 197, 229, 239, ...)