A046301 Product of 3 successive primes.

30, 105, 385, 1001, 2431, 4199, 7429, 12673, 20677, 33263, 47027, 65231, 82861, 107113, 146969, 190747, 241133, 290177, 347261, 409457, 478661, 583573, 716539, 871933, 1009091, 1113121, 1201289, 1317919, 1564259, 1879981, 2279269, 2494633, 2837407, 3127361, 3532343

Offset

1,1

Links

Vincenzo Librandi and K. D. Bajpai, Table of n, a(n) for n = 1..10000 (first 1000 terms from Vincenzo Librandi)

Formula

Sum_{n>=1} 1/a(n) = A242187. - Amiram Eldar, Nov 19 2020

Example

From K. D. Bajpai, Aug 27 2014: (Start)
a(2) = 105 is in the sequence because 105 = 3* 5 * 7, product of three successive primes.
a(3) = 385 is in the sequence because 385 = 5 * 7 * 11, product of three successive primes.
(End)

Maple

A046301:=n->ithprime(n)*ithprime(n+1)*ithprime(n+2): seq(A028560(n), n=1..100);  # K. D. Bajpai, Aug 27 2014

Mathematica

Table[Prime[n] Prime[n+1] Prime[n+2], {n, 50}]   (* K. D. Bajpai, Aug 27 2014 *)
Times@@@Partition[Prime[Range[40]], 3, 1] (* Harvey P. Dale, Mar 25 2019 *)

Prog

(Magma) [NthPrime(n)*NthPrime(n+1)*NthPrime(n+2): n in [1..31]]; /* Or: */ [&*[ NthPrime(n+k): k in [0..2] ]: n in [1..31] ]; // Bruno Berselli, Feb 25 2011
(PARI) a(n)=prime(n)*prime(n+1)*prime(n+2); \\ Joerg Arndt, Aug 30 2014
(Haskell)
a046301 n = a046301_list !! (n-1)
a046301_list = zipWith3 (((*) .) . (*))
               a000040_list (tail a000040_list) (drop 2 a000040_list)
-- Reinhard Zumkeller, May 12 2015

Crossrefs

Cf. A002110, A006094, A046302, A046303, A046324, A046325, A046326, A046327.

Cf. A000040, A242187, A257891.

Sequence in context: A081370 A257891 A158445 * A193873 A266955 A368565

Adjacent sequences: A046298 A046299 A046300 * A046302 A046303 A046304

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