OFFSET
1,1
COMMENTS
Conjecture: prime(A005669(n))^(1+1/A005669(n)) - prime(A005669(n)) is a strictly increasing function of n.
The truth of the conjecture would imply that "this sequence is an increasing sequence" which is another conjecture not equivalent to the first conjecture.
Note that if n is in the set {1, 19, 27, 45, 63} then a(n) = a(n+1) but there is no n, where n is less than 75 and a(n+1) < a(n).
CROSSREFS
KEYWORD
nonn,hard
AUTHOR
Farideh Firoozbakht, Oct 08 2014
STATUS
approved