A074497 a(n) = the smallest prime > Pi^n.

2, 5, 11, 37, 101, 307, 967, 3023, 9491, 29819, 93683, 294211, 924281, 2903689, 9122207, 28658153, 90032231, 282844571, 888582407, 2791563953, 8769956803, 27551631847, 86556004201, 271923706939, 854273519929, 2683779414353, 8431341691901, 26487841119121

Offset: 0

Author

Joseph L. Pe, Sep 26 2002

Keywords

• easy
• nonn

Comments

The corresponding indices in A000040 are the sequence {1, 3, 5, 12, 26, 63, 163, 434, 1176, 3230, 9043, 25550, 73051, ...}. - L. Edson Jeffery, Jan 17 2014

Examples

			The first prime > Pi^3 = 31.006.... is 37, so a(3) = 37.
		

Crossrefs

Cf. A000040, A014210, A014211, A074496.

Programs

Mathematica

a[n_] := NextPrime[Pi^n];  a /@ Range[0,10] (* Giovanni Resta, Jan 17 2014 *)

PARI

with \p1000: for(n=0,30,print1(nextprime(Pi^n)","))

Extensions

More terms from Ralf Stephan, Mar 19 2003