A171883 Mills primes, starting with 3.

3, 29, 24391, 14510715208481, 3055388613462301256452407743005777548691

Offset

1,1

Comments

For the standard Mills primes sequence, A051254, one starts with 2, and each successive term a(n) is the smallest prime greater than a(n-1)^3. This sequence uses the same definition but starts with 3.

a(6) has 119 digits and is too large to include.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..7

Robert Munafo, Mills primes, starting with 3

Mathematica

p = 36/25; Table[p = NextPrime[p^3], {6}] (* From Alonso del Arte based on T. D. Noe's program for A051254, Oct 05 2011 *)
NestList[NextPrime[#^3]&, 3, 5] (* Harvey P. Dale, Feb 15 2014 *)

Prog

(Maxima) n:3 $ l:10^100 $ print(n) $ while (n<l) do ( n:n^3, n:next_prime(n), print(n) );

Crossrefs

Cf. A051254

Sequence in context: A006526 A139517 A156026 * A112981 A178336 A176495

Adjacent sequences: A171880 A171881 A171882 * A171884 A171885 A171886

Keyword

nonn

Author

Robert Munafo, Feb 27 2010

Extensions

Offset corrected by Arkadiusz Wesolowski, Oct 05 2011

Status

approved