A260754 a(n) = prime(n+1)! / prime(n).

3, 40, 1008, 5702400, 566092800, 27360571392000, 7155594141696000, 1360632459941314560000, 384424434510421824110592000000, 283546160488893890266398720000000

Offset: 1

Author

Altug Alkan, Aug 20 2015

Keywords

• nonn
• easy

Examples

			a(2) = 5! / 3 = 40.
		

Crossrefs

Cf. A000040, A039716, A072472.

Programs

Magma

[Factorial(NthPrime(n+1))/NthPrime(n) : n in [1..10]]; // Wesley Ivan Hurt, Aug 20 2015

Maple

A260754:=n->ithprime(n+1)!/ithprime(n): seq(A260754(n), n=1..20); # Wesley Ivan Hurt, Aug 20 2015

Mathematica

Table[Prime[i+1] !/Prime[i], {i,20}] (* G. C. Greubel, Aug 20 2015 *)

PARI

vector(15, n, prime(n+1)!/prime(n)) \\ Michel Marcus, Aug 20 2015

Formula

a(n) = prime(n+1)! / prime(n) = A039716(n+1) / A000040(n).

10^(n-1)|a(n+3) for n>=0. - G. C. Greubel, Aug 20 2015