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%I #9 Mar 14 2015 15:28:08
%S 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,
%T 1,45,1,96,24,77,1,164,1,87,1,120,24,63,75,448,1,69,1,188,24,75,1,236,
%U 36,81,30,168,1,129,1,368,1,131,42,192,1
%N Arithmetic derivative of (3*n + 2).
%C As (prime(n))' = 1, A016789(59) = 179 = prime(41) is confirmed.
%C The 13025th prime number out of 10^5 prime numbers is prime(25997) = 299993.
%H Freimut Marschner, <a href="/A245839/b245839.txt">Table of n, a(n) for n = 1..100000</a>
%F a(n) = (3*n + 2)' = (A016789(n))' = A003415(n) (A016789(n)).
%e a(3) = (3*3 + 2)' = (11)' = 1, a(59) = (3*59 + 2)' = (179)' = 1.
%Y Cf. A016777(3n+1), A002476 (Primes of form 6m + 1), A003627(Primes of form 3n-1), A003415.
%K nonn
%O 1,2
%A _Freimut Marschner_, Aug 06 2014
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