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A245839
Arithmetic derivative of (3*n + 2).
1
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
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
KEYWORD
nonn
AUTHOR
Freimut Marschner, Aug 06 2014
STATUS
approved