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 Number## Explore 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 Sequence## Cite this as:

Weisstein, Eric W. "Power Floor Prime Sequence."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/PowerFloorPrimeSequence.html