A power floor prime sequence is a sequence of prime numbers 
, where 
is the floor function
and 
is real number. It is unknown if, though extremely
unlikely that, infinite sequences of this type exist. An example having eight consecutive
primes is 
,
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, pers. comm., Sep. 1,
2004). D. Terr (pers. comm., Jan. 21, 2003) has found a sequence of length
100.
Power Floor Prime Sequence
See also
Mills' Constant, Mills' Theorem, Power Floors, Prime NumberExplore with Wolfram|Alpha
References
Crandall, R. and Pomerance, C. Prime Numbers: A Computational Perspective, 2nd ed. New York: Springer-Verlag, 2005.Referenced on Wolfram|Alpha
Power Floor Prime SequenceCite this as:
Weisstein, Eric W. "Power Floor Prime Sequence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PowerFloorPrimeSequence.html