A088385 a(n) = prime(n+1)^prime(n+1) - prime(n)^prime(n).

23, 3098, 820418, 285310847068, 302589794921642, 827239959011230171924, 1977592415398427252359802, 20880466021428256374041443786588, 2567686153140330666561980302696661093572902

Offset

1,1

Links

G. C. Greubel, Table of n, a(n) for n = 1..75

Formula

a(n) = A051674(n+1) - A051674(n). - R. J. Mathar, Apr 26 2007

Example

a(5) = prime(6)^prime(6) - prime(5)^prime(5) = 13^13 - 11^11 = 302589794921642.

Mathematica

With[{P=Prime}, Table[P[n+1]^P[n+1]-P[n]^P[n], {n, 30}]] (* Vladimir Joseph Stephan Orlovsky, Mar 01 2009 *)
Differences[Table[p^p, {p, Prime[Range[10]]}]] (* Harvey P. Dale, Nov 20 2024 *)

Prog

(Magma) P:=NthPrime; [P(n+1)^P(n+1) - P(n)^P(n): n in [1..20]]; // G. C. Greubel, Dec 12 2022
(SageMath) P=nth_prime; [P(n+1)^P(n+1) - P(n)^P(n) for n in range(1, 21)] # G. C. Greubel, Dec 12 2022

Crossrefs

Cf. A000040, A000312, A051674.

Sequence in context: A232362 A233226 A233446 * A030461 A152521 A267692

Adjacent sequences: A088382 A088383 A088384 * A088386 A088387 A088388

Keyword

easy,nonn

Author

Christopher M. Tomaszewski (cmt1288(AT)comcast.net), Nov 08 2003

Status

approved