A074497 - OEIS

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

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OFFSET

0,1

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

LINKS

Table of n, a(n) for n=0..27.

EXAMPLE

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

MATHEMATICA

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

PROG

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

CROSSREFS

Cf. A000040, A014210, A014211, A074496.

Sequence in context: A268397 A261438 A092298 * A131581 A195985 A367969

Adjacent sequences: A074494 A074495 A074496 * A074498 A074499 A074500