A007490: Primes of form x^3 + y^3 + z^3 where x,y,z > 0. Crackly sound and a bit noisy. Consistent throughout. Residue counts: 2 [0, 8446] 3 [1, 4200, 4245] 4 [0, 4269, 0, 4177] 5 [0, 2119, 2137, 2111, 2079] 6 [0, 4200, 0, 1, 0, 4245] 7 [0, 2558, 872, 906, 811, 817, 2482] 8 [0, 2213, 0, 2116, 0, 2056, 0, 2061] 9 [0, 2693, 1491, 1, 0, 0, 0, 1507, 2754] 10 [0, 2119, 0, 2111, 0, 0, 0, 2137, 0, 2079] 11 [0, 803, 895, 829, 829, 843, 837, 890, 883, 847, 790] 12 [0, 2112, 0, 1, 0, 2157, 0, 2088, 0, 0, 0, 2088] First 100 first differences: [14, 12, 14, 30, 54, 52, 18, 54, 26, 4, 26, 42, 10, 38, 36, 88, 26, 10, 20, 16, 108, 56, 54, 42, 4, 6, 18, 38, 34, 56, 42, 40, 126, 32, 118, 92, 24, 76, 24, 54, 116, 48, 60, 46, 110, 10, 42, 18, 126, 38, 16, 2, 18, 52, 108, 30, 44, 142, 26, 40, 24, 36, 54, 84, 26, 16, 98, 154, 36, 74, 60, 22, 44, 70, 2, 42, 10, 128, 10, 270, 150, 90, 110, 82, 26, 72, 72, 6, 136, 54, 44, 58, 62, 16, 72, 128, 214, 192, 68, 12] First 99 second differences: [-2,2,16,24,-2,-34,36,-28,-22,22,16,-32,28,-2,52,-62,-16,10,-4,92, -52,-2,-12,-38,2,12,20,-4,22,-14,-2,86,-94,86,-26,-68,52,-52,30,62, -68,12,-14,64,-100,32,-24,108,-88,-22,-14,16,34,56,-78,14,98,-116,14, -16,12,18,30,-58,-10,82,56,-118,38,-14,-38,22,26,-68,40,-32,118,-118, 260,-120,-60,20,-28,-56,46,0,-66,130,-82,-10,14,4,-46,56,56,86,-22,-124,-56] The spectrogram has 3 relatively faint lines. They are at 3150Hz, 4900Hz, 7350Hz, 14700Hz, 17200Hz, and 18900Hz. These roughly correspond to 44100/14, 44100/9, 44100/6. In the residue counts we can see that there are no numbers in the sequence that are congruent to 4 nor 5 mod 9 which is due to any integer that is 4 or 5 mod 9 not being able to be written in the form of x^3 + y^3 + z^3. --David Oh