A097499 Numbers of the form p^q + q^p where p and q are consecutive primes.

17, 368, 94932, 1996813914, 36314872537968, 8660320497414243870, 244552822542936127033092, 257904243416235317958787975746, 3091062959814255272215316579358416079052

Offset

1,1

Comments

The first term is the only prime in the sequence.

Links

Amiram Eldar, Table of n, a(n) for n = 1..75

Formula

a(n) = A053089(n) + A078422(n). - Amiram Eldar, Jul 07 2024

Mathematica

lst={}; Do[p=Prime[n]; q=Prime[n+1]; a=p^q+q^p; AppendTo[lst, a], {n, 4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Aug 16 2009 *)
First[#]^Last[#]+Last[#]^First[#]&/@Partition[Prime[Range[10]], 2, 1] (* Harvey P. Dale, Sep 20 2011 *)

Prog

(PARI) f(n) = for(x=1, n, p=prime(x); q=prime(x+1); v=p^q+q^p; print1(v", "))

Crossrefs

Cf. A053089, A078422.

Sequence in context: A365678 A002197 A070148 * A132541 A159244 A318043

Adjacent sequences: A097496 A097497 A097498 * A097500 A097501 A097502

Keyword

nonn

Author

Cino Hilliard, Aug 24 2004

Extensions

Offset corrected by Amiram Eldar, Jul 07 2024

Status

approved