A084573 Let a(1)=1; for n>1, a(n)=nextprime( a(n-1)^(n/(n-1)) ).

1, 2, 3, 5, 11, 19, 37, 67, 127, 223, 383, 659, 1151, 1987, 3433, 5923, 10211, 17579, 30259, 52103, 89689, 154387, 265747, 457421, 787357, 1355261, 2332783, 4015339, 6911461, 11896457, 20476933, 35246203, 60668017, 104425627, 179743997

Offset

1,2

Comments

Limit of a(n+1)/a(n) -> 1.7212631438796...

Links

Table of n, a(n) for n=1..35.

Mathematica

RecurrenceTable[{a[1]==1, a[n]==NextPrime[a[n-1]^(n/(n-1))]}, a, {n, 40}] (* Harvey P. Dale, Mar 29 2013 *)

Prog

(PARI) a(n)=if(n<2, 1, nextprime(a(n-1)^(n/(n-1)))); for(n=1, 50, print1(a(n), ", "))

Crossrefs

Sequence in context: A070865 A084697 A037082 * A155954 A358717 A337347

Adjacent sequences: A084570 A084571 A084572 * A084574 A084575 A084576

Keyword

nonn

Author

Paul D. Hanna, May 31 2003

Extensions

Wrong formula removed by Paul D. Hanna, May 29 2010

Status

approved