A046302 Products of 4 successive primes.

210, 1155, 5005, 17017, 46189, 96577, 215441, 392863, 765049, 1363783, 2022161, 3065857, 4391633, 6319667, 8965109, 12780049, 17120443, 21182921, 27433619, 33984931, 42600829, 56606581, 72370439, 89809099, 107972737, 121330189

Offset: 1

Author

Patrick De Geest, Jun 15 1998

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000
• C. Cobeli and A. Zaharescu, A game with divisors and absolute differences of exponents, Journal of Difference Equations and Applications, Vol. 20, #11 (2014) pp. 1489-1501, DOI: 10.1080/10236198.2014.940337. Also available as arXiv:1411.1334 [math.NT], 2014.

Crossrefs

Cf. A002110, A006094, A046301, A046303, A046324, A046325, A046326, A046327.

Programs

Magma

[&*[ NthPrime(n+k): k in [0..3] ]: n in [1..26] ]; // Bruno Berselli, Feb 25 2011

Mathematica

lst={};Do[p0=Prime[n];p1=Prime[n+1];p2=Prime[n+2];p3=Prime[n+3];a=p0*p1*p2*p3;AppendTo[lst,a],{n,5!}];lst (* Vladimir Joseph Stephan Orlovsky, Mar 10 2009 *)
Times@@@Partition[Prime[Range[50]],4,1] (* Harvey P. Dale, Sep 19 2011 *)

Formula

a(n) = Product_{j=n..n+3} prime(j). - Jon E. Schoenfield, Jan 07 2015

Extensions

Offset changed from 0 to 1 by Vincenzo Librandi, Jan 16 2012