Power Floor Prime Sequence
المؤلف:
Crandall, R. and Pomerance, C.
المصدر:
Prime Numbers: A Computational Perspective, 2nd ed. New York: Springer-Verlag, 2005.
الجزء والصفحة:
...
19-1-2021
1405
Power Floor Prime Sequence
A power floor prime sequence is a sequence of prime numbers ![<span style=]()
{|_theta^n_|}_n" src="https://mathworld.wolfram.com/images/equations/PowerFloorPrimeSequence/Inline1.gif" style="height:15px; width:38px" />, 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.
REFERENCES:
Crandall, R. and Pomerance, C. Prime Numbers: A Computational Perspective, 2nd ed. New York: Springer-Verlag, 2005.
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