A262185 a(n) = n^prime(n!) - prime(n!)^n.

-1, -1, -1, 1592126, 383123885216472214589586756787577295904684780483158303

Offset: 0

Author

Altug Alkan, Sep 14 2015

Keywords

• sign
• easy

Comments

Inspired by A007965.

Examples

			For n = 1, a(n) = n^prime(n!) - prime(n!)^n = 1^2 - 2^1 = -1.
		

Crossrefs

Cf. A000040, A062439, A007965.

Programs

Magma

[n^NthPrime(Factorial(n)) - NthPrime(Factorial(n))^n: n in [0..6]]; // Vincenzo Librandi, Sep 15 2015

Mathematica

Table[n^Prime[n!] - Prime[n!]^n, {n, 0, 4}] (* Michael De Vlieger, Sep 14 2015 *)

PARI

a(n) = n^prime(n!) - prime(n!)^n;
vector (6, n, a(n-1))

Formula

a(n) = n^A062439(n) - A062439(n)^n.