A261457 a(n) = prime(n)! - n!.

1, 4, 114, 5016, 39916680, 6227020080, 355687428090960, 121645100408791680, 25852016738884976277120, 8841761993739701954543612371200, 8222838654177922817725562840083200, 13763753091226345046315979581580901920998400

Offset: 1

Author

Altug Alkan, Aug 19 2015

Keywords

• nonn
• easy

Examples

			The 3rd prime is 5, a(3)= 5! - 3! = 114.
		

Crossrefs

Cf. A000142, A014689, A039716.

Programs

Magma

[Factorial(NthPrime(n)) - Factorial(n): n in [1..15]]; // Vincenzo Librandi, Aug 20 2015

Mathematica

Array[Prime[#]! - #! &, {12}] (* Michael De Vlieger, Aug 19 2015 *)

PARI

first(m)=vector(m,i,prime(i)!-i!) \\ Anders Hellström, Aug 20 2015

Formula

a(n) = prime(n)! - n! = A039716(n) - A000142(n).