A161503 a(n) = NextPrime(n^n) - PrevPrime(n^n).

2, 6, 6, 16, 14, 6, 46, 20, 52, 104, 54, 28, 44, 80, 72, 92, 172, 20, 142, 34, 110, 134, 130, 98, 106, 78, 174, 306, 26, 132, 54, 258, 116, 78, 50, 90, 448, 66, 214, 302, 140, 352, 466, 246, 670, 594, 396, 20, 244, 228, 640, 546, 462, 354, 1040, 408, 176, 564, 760

Offset

2,1

Links

Hugo Pfoertner, Table of n, a(n) for n = 2..1000

Formula

a(n) = A074966(n) + A074967(n) = A013633(A000312(n)). - R. J. Mathar, Jun 12 2009

Example

3 <- 2^2 -> 5; 5 - 3 = 2;
23 <- 3^3 -> 29; 29 - 23 = 6.

Maple

for n from 2 to 100 do nn := n^n ; printf("%d, ", nextprime(nn)-prevprime(nn) ) ; od: # R. J. Mathar, Jun 12 2009

Mathematica

PrimeNext[n_]:=Module[{k}, k=n+1; While[ !PrimeQ[k], k++ ]; k]; PrimePrev[n_]:=Module[{k}, k=n-1; While[ !PrimeQ[k], k-- ]; k]; DeltaY[n_]:=PrimeNext[n]-PrimePrev[n]; lst={}; Do[AppendTo[lst, DeltaY[n^n]], {n, 2, 5!}]; lst
npnn[n_]:=Module[{nn=n^n}, NextPrime[nn]-NextPrime[nn, -1]]; Array[npnn, 60, 2] (* Harvey P. Dale, Dec 07 2013 *)

Crossrefs

Cf. A074966, A074967.

Cf. A000312, A013633.

Sequence in context: A349288 A098571 A194120 * A019076 A197109 A111410

Adjacent sequences: A161500 A161501 A161502 * A161504 A161505 A161506

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jun 11 2009

Extensions

Offset changed by R. J. Mathar, Jun 12 2009

Status

approved