The sequence {⌊(3/2)^n ⌋} is given by 1, 1, 2, 3, 5, 7, 11, 17, 25, 38, ... (OEIS A002379). The first few composite ⌊(3/2)^n ⌋ occur for n = 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 23, ... (OEIS A046037), corresponding to the composites 25, 38, 57, 86, 129, 194, 291, 437, 656, ... (OEIS A070758). Similarly, the first few prime ⌊(3/2)^n ⌋ occur for n = 3, 4, 5, 6, 7, 21, 22, 98, ... (OEIS A070759), corresponding to the primes 2, 3, 5, 7, 11, 17, 4987, 7481, 180693856682317883, ... (OEIS A067904).

floor function | power | power ceilings | power floor prime sequence | power fractional Parts