OFFSET
1,1
COMMENTS
LINKS
Carlos Rivera, Conjecture 30. The Firoozbakht Conjecture, The Prime Puzzles and Problems Connection.
EXAMPLE
a(6)=17 because for n=2,...,6 a(n-1)^(1/(n-1))> a(n)^(1/n) and if the prime number p > 17 then a(5)^(1/5)< p^(1/6).
MATHEMATICA
a[1]=2; a[n_] := a[n]=(For[m=PrimePi[a[n-1]]+1, (a[n-1]^(1/(n-1))>Prime[m]^(1/n)), m++ ]; Prime[m-1]); v ={}; Do[v=Append[v, a[n]]; Print[v], {n, 47}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Farideh Firoozbakht, Sep 11 2003
STATUS
approved