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A341995 a(n) = 1 if the arithmetic derivative (A003415) of n is a prime, otherwise 0. 5
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..65537

Index entries for characteristic functions

FORMULA

a(n) = A010051(A003415(n)).

For all n > 0, a(n) <= A341994(n).

PROG

(PARI)

A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));

A341995(n) = isprime(A003415(n));

CROSSREFS

Characteristic function of A157037.

Cf. A003415, A010051, A341994.

Sequence in context: A275305 A169671 A070108 * A011675 A096094 A265757

Adjacent sequences:  A341992 A341993 A341994 * A341996 A341997 A341998

KEYWORD

nonn

AUTHOR

Antti Karttunen, Feb 28 2021

STATUS

approved

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Last modified August 2 18:40 EDT 2021. Contains 346428 sequences. (Running on oeis4.)