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A130606 a(n) = prime(n+1)^n - prime(n)^n where prime(n) is the n-th prime number. 0
1, 16, 218, 12240, 210242, 19310760, 483533066, 61327422240, 12705993314406, 398921053680600, 152509144883055582, 15980538294526150800, 793161021967277155922, 182781628843528905568920, 61073803538208251485772814 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..15.

FORMULA

a(n) = A093360(n+1) - A062457(n). - R. J. Mathar, Nov 25 2008

EXAMPLE

For n=2, prime(2+1)^2 - prime(2)^2 = 5^2 - 3^2 = 4^2, the second entry.

MAPLE

a := proc (n) options operator, arrow; ithprime(n+1)^n-ithprime(n)^n end proc: seq(a(n), n = 1 .. 15); # Emeric Deutsch, Jul 09 2007

MATHEMATICA

n[x_]:=Module[{pn=Prime[x]}, (NextPrime[pn])^x-pn^x]; n/@Range[20]  (* Harvey P. Dale, Apr 11 2011 *)

PROG

(PARI) g1(n) = for(x=1, n, y=prime(x+1)^x-prime(x)^x; print1(y", "))

CROSSREFS

Sequence in context: A163739 A239042 A186841 * A193380 A076073 A092657

Adjacent sequences:  A130603 A130604 A130605 * A130607 A130608 A130609

KEYWORD

nonn

AUTHOR

Cino Hilliard, Jun 17 2007

EXTENSIONS

More terms from Emeric Deutsch, Jul 09 2007

STATUS

approved

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Last modified August 13 10:14 EDT 2022. Contains 356080 sequences. (Running on oeis4.)