A383242 a(n) = p(n)*p(n+1)*(p(n+1) - p(n)) + 1, where p(n) = prime(n).

7, 31, 71, 309, 287, 885, 647, 1749, 4003, 1799, 6883, 6069, 3527, 8085, 14947, 18763, 7199, 24523, 19029, 10367, 34603, 26229, 44323, 69065, 39189, 20807, 44085, 23327, 49269, 200915, 66549, 107683, 38087, 207111, 44999, 142243, 153547, 108885, 173347

Offset

1,1

Links

Table of n, a(n) for n=1..39.

Formula

a(n) = A383241(n) + 2.

Mathematica

z = 60; p[n_] := Prime[n];
f[n_] := p[n]*p[n + 1]*(p[n + 1] - p[n])
Table[f[n] - 1, {n, 1, z}]  (* A383241 *)
Table[f[n] + 1, {n, 1, z}]  (* A383242 *)

Crossrefs

Cf. A000042, A383241, A383243, A383244.

Sequence in context: A390951 A157914 A090684 * A383244 A033199 A304163

Adjacent sequences: A383239 A383240 A383241 * A383243 A383244 A383245

Keyword

nonn

Author

Clark Kimberling, May 07 2025

Status

approved