A046303 Product of 5 successive primes.

2310, 15015, 85085, 323323, 1062347, 2800733, 6678671, 14535931, 31367009, 58642669, 95041567, 162490421, 259106347, 385499687, 600662303, 907383479, 1249792339, 1673450759, 2276990377, 3024658859, 4132280413, 5717264681

Offset

1,1

Links

John Cerkan, Table of n, a(n) for n = 1..10000 (terms 1..520 from Vincenzo Librandi)

Formula

a(n) = Product_{j=n..n+4} prime(j). - Jon E. Schoenfield, Jan 07 2015

a(n) ~ (n log n)^5. - Charles R Greathouse IV, Jun 27 2019

Mathematica

lst={}; Do[p0=Prime[n]; p1=Prime[n+1]; p2=Prime[n+2]; p3=Prime[n+3]; p4=Prime[n+4]; a=p0*p1*p2*p3*p4; AppendTo[lst, a], {n, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Mar 10 2009 *)
Times@@@Partition[Prime[Range[200]], 5, 1] (* Harvey P. Dale, Oct 21 2011 *)

Prog

(Magma) [&*[ NthPrime(n+k): k in [0..4] ]: n in [1..22]];  // Bruno Berselli, Feb 25 2011
(PARI) first(n)=my(P=primes(n+4)); vector(n, i, prod(j=i, i+4, P[j])) \\ Charles R Greathouse IV, Jun 27 2019

Crossrefs

A subsequence of A014614.

Cf. A002110, A006094, A046301, A046302, A046324, A046325, A046326, A046327.

Sequence in context: A076252 A264718 A147572 * A046403 A288072 A087978

Adjacent sequences: A046300 A046301 A046302 * A046304 A046305 A046306

Keyword

nonn,easy

Author

Patrick De Geest, Jun 15 1998

Status

approved