OFFSET
1,1
COMMENTS
C = 2.038239154782068767463490862609548251448624778443173613879675732.
LINKS
Simon Plouffe, A set of formulas for primes, arXiv:1901.01849 [math.NT], 2019.
EXAMPLE
c(1) = 2.038239154782068, c(2) = 2.9099311279, c(3) = 4.96391190457, c(4) = 11.05951540, ... so a(1) = {c(1)} = 2, a(2) = {c(2)} = 3, a(3) = {c(3)} = 5, ...
c(n) = c(n-1)^(3/2) and a(n) = {c(n)} is the value rounded to the nearest integer.
MAPLE
# Computes the values according to the formula, c = 2.03823915478..., e = 3/2, m the number of terms. Returns the real and the rounded values (primes).
val := proc(c, e, m)
local ll, v, n;
v := c;
ll := [v];
for n to m-1 do
v := v^e; ll := [op(ll), v]
end do;
return [ll, map(round, ll)]
end:
CROSSREFS
KEYWORD
nonn
AUTHOR
Simon Plouffe, Jan 20 2019
STATUS
approved