A053089 a(n) = prime(n)^prime(n+1).

8, 243, 78125, 1977326743, 34522712143931, 8650415919381337933, 239072435685151324847153, 257829627945307727248226067259, 3091058643093537522799545838540043339063, 2159424054808578564166497528588784562372597429

Offset

1,1

Links

Table of n, a(n) for n=1..10.

Sergio Silva, Teste Numerico. [link is broken]

Formula

a(n) = A000040(n)^A000040(n+1). - Omar E. Pol, Feb 27 2020

Example

a(3)=78125 because 5 is the 3rd prime, 7 is the 4th prime and 5^7=78125.

Mathematica

#[[1]]^#[[2]]&/@Partition[Prime[Range[10]], 2, 1] (* Harvey P. Dale, Jul 10 2015 *)

Prog

(PARI) a(n) = my(p=prime(n)); p^nextprime(p+1); \\ Michel Marcus, Feb 27 2020

Crossrefs

Cf. A000040, A051674.

Sequence in context: A209540 A085524 A062481 * A090241 A242196 A316802

Adjacent sequences: A053086 A053087 A053088 * A053090 A053091 A053092

Keyword

nonn,easy

Author

Enoch Haga, Mar 18 2000

Extensions

One additional term (a(10)) from Harvey P. Dale, Jul 10 2015

Status

approved