A245839 Arithmetic derivative of (3*n + 2).

1, 12, 1, 9, 1, 24, 1, 15, 1, 80, 12, 21, 1, 48, 1, 45, 1, 92, 1, 33, 18, 72, 1, 39, 18, 176, 1, 45, 1, 96, 24, 77, 1, 164, 1, 87, 1, 120, 24, 63, 75, 448, 1, 69, 1, 188, 24, 75, 1, 236, 36, 81, 30, 168, 1, 129, 1, 368, 1, 131, 42, 192, 1

Offset

1,2

Comments

As (prime(n))' = 1, A016789(59) = 179 = prime(41) is confirmed.

The 13025th prime number out of 10^5 prime numbers is prime(25997) = 299993.

Links

Freimut Marschner, Table of n, a(n) for n = 1..100000

Formula

a(n) = (3*n + 2)' = (A016789(n))' = A003415(n) (A016789(n)).

Example

a(3) = (3*3 + 2)' = (11)' = 1, a(59) = (3*59 + 2)' = (179)' = 1.

Crossrefs

Cf. A016777(3n+1), A002476 (Primes of form 6m + 1), A003627(Primes of form 3n-1), A003415.

Sequence in context: A010214 A318489 A121985 * A068329 A334074 A010215

Adjacent sequences: A245836 A245837 A245838 * A245840 A245841 A245842

Keyword

nonn

Author

Freimut Marschner, Aug 06 2014

Status

approved