A394472 a(n) = Product_{k=1..n} (2*prime(n)-prime(k)).

2, 12, 280, 8316, 1065900, 42948360, 6377779296, 347154538500, 62927601396660, 28577329341561000, 2141057217008209500, 1039622183065254234600, 215439255814462529850000, 21146215295244944033167500, 5298886203137347121867065500, 3103158113448130706101738605000

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..289

Example

For n = 7, prime(7) = 17 and 2*prime(7) = 2*17 = 34 and (34-2)*(34-3)*(34-5)*(34-7)*(34-11)*(34-13)*(34-17) = 6377779296; so a(7) = 6377779296.

Mathematica

a[n_]:=Product[2*Prime[n]-Prime[k], {k, 1, n}]; Array[a, 16] (* James C. McMahon, Mar 25 2026 *)

Crossrefs

Cf. A000040.

Sequence in context: A214005 A014982 A012444 * A012754 A083568 A003121

Adjacent sequences: A394469 A394470 A394471 * A394473 A394474 A394475

Keyword

nonn,easy

Author

Ahmad J. Masad, Mar 21 2026

Status

approved