A059784 a(n+1) = nextprime(a(n)^2). Smallest prime following the square of previous prime. Initial value = 2.

2, 5, 29, 853, 727613, 529420677791, 280286254072681840639693, 78560384222095957698731679318817728959447134363

Offset: 1

Author

Labos Elemer, Feb 22 2001

Keywords

• nonn

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..12
• Kaisa Matomäki, Prime-representing functions, Acta Math. Hungar. 128 (2010), pp. 307-314.

Crossrefs

Cf. A006992, A055496, A005384, A005385, A112597.

Programs

Mathematica

p=2; lst={p}; Do[p=NextPrime[p*p]; AppendTo[lst,p], {n,8}]; lst (* Vladimir Joseph Stephan Orlovsky, May 27 2009 *)
NestList[NextPrime[#^2] &, 2, 7] (* Michael De Vlieger, Nov 02 2017 *)

Formula

a(n) = floor[1.5246999605380943599233635756884211622202236231...^(2^n)], similar to Mills Primes A051254. - Henry Bottomley, Oct 19 2003

Extensions

Changed offset to 1 to parallel other such sequences. - Robert G. Wilson v, Nov 15 2012