A228593 Products of 2 successive primorials.

2, 12, 180, 6300, 485100, 69369300, 15330615300, 4951788741900, 2163931680210300, 1443342430700270100, 1297564845199542819900, 1488306877443875614425300, 2257761533082359307083180100, 3980433582824199458387646516300

Offset

1,1

Comments

No sum of any number of terms is a perfect power.

Links

Michael De Vlieger, Table of n, a(n) for n = 1..196

Wikipedia, Perfect power.

Formula

a(1) = 2; a(n) = 2*(Product_{i=1..n-1} A006094(i)), n >= 2.

a(n) = A002110(n-1)*A002110(n); n >= 1. - David James Sycamore, Jul 13 2023

a(1) = 2, for n>1 a(n) = a(n-1)*prime(n-1)*prime(n). - David James Sycamore, Jul 15 2023

Mathematica

nxt[{n_, a_}]:={n+1, a Prime[n]Prime[n+1]}; NestList[nxt, {1, 2}, 20][[All, 2]] (* Harvey P. Dale, Feb 19 2020 *)

Prog

(Magma) [n le 1 select 2 else Self(n-1)*NthPrime(n-1)*NthPrime(n): n in [1..14]]
(PARI) a(n) = vecprod(primes(n-1))*vecprod(primes(n)); \\ Michel Marcus, Aug 11 2023

Crossrefs

Cf. A000040, A001597, A006094, A002110.

Sequence in context: A334175 A228508 A156516 * A067962 A134716 A243807

Adjacent sequences: A228590 A228591 A228592 * A228594 A228595 A228596

Keyword

easy,nonn

Author

Arkadiusz Wesolowski, Aug 27 2013

Status

approved