Continue the Sequences

1. 26, 31, 35, 39, 40, 44
   (successive numbers whose digits add up to a multiple of 4)
2. 1, 2, 3, 6, 11, 20, 37, 68
   (each number is the sum of the previous three numbers)
3. 307, 311, 313, 317, 331, 337, 347
   (successive prime numbers)
4. 1, 4, 9, 25, 64, 144, 289
   (smallest square number that’s at least twice the previous)