A power floor prime sequence is a sequence of prime numbers {⌊θ^n ⌋}_n, where ⌊x⌋ is the floor function and θ>1 is real number. It is unknown if, though extremely unlikely that, infinite sequences of this type exist. An example having eight consecutive primes is θ = 111/47, which gives 2, 5, 13, 31, 73, 173, 409, and 967 and has the smallest possible numerator and denominators for an 8-term sequence. D. Terr has found a sequence of length 100.

Mills' constant | Mills' theorem | power floors | prime number