OFFSET
1,2
COMMENTS
The square of this constant, C^2 = 1.6180339472264..., is very close to the Golden Ratio Phi (A001622).
This constant is about 3% less than Mills's constant, 1.306377883863..., (A051021).
Since there is always a prime between an integer and its square, this constant should satisfy the same criteria as does Mills's constant (A051021).
This constant, C, produces A059785.
LINKS
Robert G. Wilson v, Table of n, a(n) for n = 1..1000
EXAMPLE
=1.2720196331921934958697353209119288376375630826996476481322580415...
MATHEMATICA
RealDigits[ Nest[ NextPrime[#^2, -1] &, 2, 8]^(2^-9), 10, 111][[1]]
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Robert G. Wilson v, Nov 15 2012
STATUS
approved