A292926 a(n) = prime(n)*prime(n+1) + prime(n+2).

11, 22, 46, 90, 160, 240, 346, 466, 698, 936, 1188, 1560, 1810, 2074, 2550, 3188, 3666, 4158, 4830, 5262, 5850, 6646, 7484, 8734, 9900, 10510, 11130, 11776, 12444, 14482, 16774, 18086, 19192, 20862, 22656, 23870, 25758, 27394, 29070, 31148, 32590, 34764, 37060

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Formula

a(n) = A006094(n) + A000040(n+2). - Elmo R. Oliveira, Jan 19 2023

Example

2*3+5 = 11.

Maple

seq(ithprime(n)*ithprime(n+1)+ithprime(n+2), n=1..10^3); # Muniru A Asiru, Oct 01 2017

Mathematica

Table[Prime[n]*Prime[n + 1] + Prime[n + 2], {n, 50}] (* Wesley Ivan Hurt, Oct 29 2017 *)
#[[1]]#[[2]]+#[[3]]&/@Partition[Prime[Range[50]], 3, 1] (* Harvey P. Dale, Mar 29 2025 *)

Prog

(GAP)
A:=Filtered([1..10^5], IsPrime);;  A292926:=List([1..Length(A)-2], n->A[n]*A[n+1]+A[n+2]);  # Muniru A Asiru, Oct 01 2017

Crossrefs

Cf. A000040, A006094, A293206.

Sequence in context: A005015 A070069 A178664 * A109687 A225361 A111696

Adjacent sequences: A292923 A292924 A292925 * A292927 A292928 A292929

Keyword

nonn,easy

Author

Martin Michael Musatov, Sep 29 2017

Status

approved