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

1,1

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.

Formula

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

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 *)

Prog

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

Crossrefs

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

Sequence in context: A158559 A235248 A235241 * A217532 A289319 A157408

Adjacent sequences: A046299 A046300 A046301 * A046303 A046304 A046305

Keyword

nonn,easy

Author

Patrick De Geest, Jun 15 1998

Extensions

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

Status

approved